TSTP Solution File: SET619+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : Tue Jul 19 03:36:02 EDT 2022
% Result : Theorem 1.16s 1.36s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 79
% Syntax : Number of formulae : 393 ( 198 unt; 0 def)
% Number of atoms : 694 ( 573 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 589 ( 288 ~; 274 |; 14 &)
% ( 12 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 955 ( 43 sgn 99 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(symmetric_difference_defn,axiom,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ).
fof(associativity_of_union,axiom,
! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)) ).
fof(union_intersection,axiom,
! [B,C] : union(B,intersection(B,C)) = B ).
fof(union_intersection_difference,axiom,
! [B,C] : union(intersection(B,C),difference(B,C)) = B ).
fof(union_defn,axiom,
! [B,C,D] :
( member(D,union(B,C))
<=> ( member(D,B)
| member(D,C) ) ) ).
fof(intersection_defn,axiom,
! [B,C,D] :
( member(D,intersection(B,C))
<=> ( member(D,B)
& member(D,C) ) ) ).
fof(equal_defn,axiom,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ) ).
fof(commutativity_of_union,axiom,
! [B,C] : union(B,C) = union(C,B) ).
fof(commutativity_of_intersection,axiom,
! [B,C] : intersection(B,C) = intersection(C,B) ).
fof(subset_defn,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ) ).
fof(prove_th95,conjecture,
! [B,C] : union(B,C) = union(symmetric_difference(B,C),intersection(B,C)) ).
fof(subgoal_0,plain,
! [B,C] : union(B,C) = union(symmetric_difference(B,C),intersection(B,C)),
inference(strip,[],[prove_th95]) ).
fof(negate_0_0,plain,
~ ! [B,C] : union(B,C) = union(symmetric_difference(B,C),intersection(B,C)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [B,C] : union(B,C) != union(symmetric_difference(B,C),intersection(B,C)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] : union(B,C) = union(C,B),
inference(canonicalize,[],[commutativity_of_union]) ).
fof(normalize_0_3,plain,
! [B,C] : union(B,C) = union(C,B),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)),
inference(canonicalize,[],[associativity_of_union]) ).
fof(normalize_0_5,plain,
! [B,C,D] : union(union(B,C),D) = union(B,union(C,D)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[symmetric_difference_defn]) ).
fof(normalize_0_7,plain,
! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C] : union(intersection(B,C),difference(B,C)) = B,
inference(canonicalize,[],[union_intersection_difference]) ).
fof(normalize_0_9,plain,
! [B,C] : union(intersection(B,C),difference(B,C)) = B,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B,C] : union(B,intersection(B,C)) = B,
inference(canonicalize,[],[union_intersection]) ).
fof(normalize_0_11,plain,
! [B,C] : union(B,intersection(B,C)) = B,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
inference(canonicalize,[],[commutativity_of_intersection]) ).
fof(normalize_0_13,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_15,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [B,C,D] :
( ( ~ member(skolemFOFtoCNF_D_1(B,C),C)
| subset(B,C) )
& ( member(skolemFOFtoCNF_D_1(B,C),B)
| subset(B,C) )
& ( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [B,C] :
( ~ member(skolemFOFtoCNF_D_1(B,C),C)
| subset(B,C) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [B,C] :
( member(skolemFOFtoCNF_D_1(B,C),B)
| subset(B,C) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_19,plain,
! [B,C,D] :
( ~ member(D,intersection(B,C))
<=> ( ~ member(D,B)
| ~ member(D,C) ) ),
inference(canonicalize,[],[intersection_defn]) ).
fof(normalize_0_20,plain,
! [B,C,D] :
( ~ member(D,intersection(B,C))
<=> ( ~ member(D,B)
| ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [B,C,D] :
( ( ~ member(D,intersection(B,C))
| member(D,B) )
& ( ~ member(D,intersection(B,C))
| member(D,C) )
& ( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(canonicalize,[],[union_defn]) ).
fof(normalize_0_24,plain,
! [B,C,D] :
( ~ member(D,union(B,C))
<=> ( ~ member(D,B)
& ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [B,C,D] :
( ( ~ member(D,B)
| member(D,union(B,C)) )
& ( ~ member(D,C)
| member(D,union(B,C)) )
& ( ~ member(D,union(B,C))
| member(D,B)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [B,C,D] :
( ~ member(D,B)
| member(D,union(B,C)) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(canonicalize,[],[equal_defn]) ).
fof(normalize_0_28,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [B,C] :
( ( B != C
| subset(B,C) )
& ( B != C
| subset(C,B) )
& ( ~ subset(B,C)
| ~ subset(C,B)
| B = C ) ),
inference(clausify,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [B,C] :
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(conjunct,[],[normalize_0_29]) ).
cnf(refute_0_0,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
union(B,C) = union(C,B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( union(B,C) != union(C,B)
| union(C,B) = union(B,C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(B,C))),bind(Y,$fot(union(C,B)))]]) ).
cnf(refute_0_6,plain,
union(C,B) = union(B,C),
inference(resolve,[$cnf( $equal(union(B,C),union(C,B)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_6:[bind(B,$fot(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(C,$fot(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_8,plain,
( union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),[1],$fot(union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_9,plain,
( union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
union(union(B,C),D) = union(B,union(C,D)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
union(union(difference(B,C),difference(C,B)),X_19) = union(difference(B,C),union(difference(C,B),X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(difference(B,C))),bind(C,$fot(difference(C,B))),bind(D,$fot(X_19))]]) ).
cnf(refute_0_13,plain,
symmetric_difference(B,C) = union(difference(B,C),difference(C,B)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
( symmetric_difference(B,C) != union(difference(B,C),difference(C,B))
| union(difference(B,C),difference(C,B)) = symmetric_difference(B,C) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(symmetric_difference(B,C))),bind(Y,$fot(union(difference(B,C),difference(C,B))))]]) ).
cnf(refute_0_15,plain,
union(difference(B,C),difference(C,B)) = symmetric_difference(B,C),
inference(resolve,[$cnf( $equal(symmetric_difference(B,C),union(difference(B,C),difference(C,B))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( union(difference(B,C),difference(C,B)) != symmetric_difference(B,C)
| union(union(difference(B,C),difference(C,B)),X_19) != union(difference(B,C),union(difference(C,B),X_19))
| union(symmetric_difference(B,C),X_19) = union(difference(B,C),union(difference(C,B),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(difference(B,C),difference(C,B)),X_19),union(difference(B,C),union(difference(C,B),X_19))) ),[0,0],$fot(symmetric_difference(B,C))]]) ).
cnf(refute_0_17,plain,
( union(union(difference(B,C),difference(C,B)),X_19) != union(difference(B,C),union(difference(C,B),X_19))
| union(symmetric_difference(B,C),X_19) = union(difference(B,C),union(difference(C,B),X_19)) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),difference(C,B)),symmetric_difference(B,C)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
union(symmetric_difference(B,C),X_19) = union(difference(B,C),union(difference(C,B),X_19)),
inference(resolve,[$cnf( $equal(union(union(difference(B,C),difference(C,B)),X_19),union(difference(B,C),union(difference(C,B),X_19))) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) = union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_244,X_243))),
inference(subst,[],[refute_0_18:[bind(B,$fot(X_243)),bind(C,$fot(X_244)),bind(X_19,$fot(intersection(X_244,X_243)))]]) ).
cnf(refute_0_20,plain,
union(intersection(B,C),difference(B,C)) = B,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_21,plain,
union(intersection(B,C),difference(B,C)) = union(difference(B,C),intersection(B,C)),
inference(subst,[],[refute_0_6:[bind(B,$fot(difference(B,C))),bind(C,$fot(intersection(B,C)))]]) ).
cnf(refute_0_22,plain,
( union(intersection(B,C),difference(B,C)) != B
| union(intersection(B,C),difference(B,C)) != union(difference(B,C),intersection(B,C))
| union(difference(B,C),intersection(B,C)) = B ),
introduced(tautology,[equality,[$cnf( $equal(union(intersection(B,C),difference(B,C)),B) ),[0],$fot(union(difference(B,C),intersection(B,C)))]]) ).
cnf(refute_0_23,plain,
( union(intersection(B,C),difference(B,C)) != B
| union(difference(B,C),intersection(B,C)) = B ),
inference(resolve,[$cnf( $equal(union(intersection(B,C),difference(B,C)),union(difference(B,C),intersection(B,C))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
union(difference(B,C),intersection(B,C)) = B,
inference(resolve,[$cnf( $equal(union(intersection(B,C),difference(B,C)),B) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
union(difference(X_244,X_243),intersection(X_244,X_243)) = X_244,
inference(subst,[],[refute_0_24:[bind(B,$fot(X_244)),bind(C,$fot(X_243))]]) ).
cnf(refute_0_26,plain,
( union(difference(X_244,X_243),intersection(X_244,X_243)) != X_244
| union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_244,X_243)))
| union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)),union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_244,X_243)))) ),[1,1],$fot(X_244)]]) ).
cnf(refute_0_27,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_244,X_243)))
| union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
inference(resolve,[$cnf( $equal(union(difference(X_244,X_243),intersection(X_244,X_243)),X_244) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) = union(difference(X_243,X_244),X_244),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)),union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_244,X_243)))) )],[refute_0_19,refute_0_27]) ).
cnf(refute_0_29,plain,
union(union(X_17,X_18),X_19) = union(X_17,union(X_18,X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(X_18)),bind(D,$fot(X_19))]]) ).
cnf(refute_0_30,plain,
union(X_19,X_18) = union(X_18,X_19),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_19)),bind(C,$fot(X_18))]]) ).
cnf(refute_0_31,plain,
( union(X_19,X_18) != union(X_18,X_19)
| union(X_18,X_19) = union(X_19,X_18) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_19,X_18))),bind(Y,$fot(union(X_18,X_19)))]]) ).
cnf(refute_0_32,plain,
union(X_18,X_19) = union(X_19,X_18),
inference(resolve,[$cnf( $equal(union(X_19,X_18),union(X_18,X_19)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( union(X_18,X_19) != union(X_19,X_18)
| union(union(X_17,X_18),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_17,X_18),X_19) = union(X_17,union(X_19,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_18,X_19))) ),[1,1],$fot(union(X_19,X_18))]]) ).
cnf(refute_0_34,plain,
( union(union(X_17,X_18),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_17,X_18),X_19) = union(X_17,union(X_19,X_18)) ),
inference(resolve,[$cnf( $equal(union(X_18,X_19),union(X_19,X_18)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
union(union(X_17,X_18),X_19) = union(X_17,union(X_19,X_18)),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_18,X_19))) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( union(union(X_17,X_18),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_17,X_18),X_19) != union(X_17,union(X_19,X_18))
| union(X_17,union(X_18,X_19)) = union(X_17,union(X_19,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_19,X_18))) ),[0],$fot(union(X_17,union(X_18,X_19)))]]) ).
cnf(refute_0_37,plain,
( union(union(X_17,X_18),X_19) != union(X_17,union(X_19,X_18))
| union(X_17,union(X_18,X_19)) = union(X_17,union(X_19,X_18)) ),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_18,X_19))) )],[refute_0_29,refute_0_36]) ).
cnf(refute_0_38,plain,
union(X_17,union(X_18,X_19)) = union(X_17,union(X_19,X_18)),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_19,X_18))) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) = union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)),
inference(subst,[],[refute_0_38:[bind(X_17,$fot(difference(X_243,X_244))),bind(X_19,$fot(difference(X_244,X_243)))]]) ).
cnf(refute_0_40,plain,
union(symmetric_difference(X_243,X_244),X_18) = union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)),
inference(subst,[],[refute_0_18:[bind(B,$fot(X_243)),bind(C,$fot(X_244)),bind(X_19,$fot(X_18))]]) ).
cnf(refute_0_41,plain,
( union(symmetric_difference(X_243,X_244),X_18) != union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))
| union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)) = union(symmetric_difference(X_243,X_244),X_18) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(symmetric_difference(X_243,X_244),X_18))),bind(Y,$fot(union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))))]]) ).
cnf(refute_0_42,plain,
union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)) = union(symmetric_difference(X_243,X_244),X_18),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),X_18),union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) != union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))
| union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)) != union(symmetric_difference(X_243,X_244),X_18)
| union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) = union(symmetric_difference(X_243,X_244),X_18) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))),union(symmetric_difference(X_243,X_244),X_18)) ),[0],$fot(union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)))]]) ).
cnf(refute_0_44,plain,
( union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) != union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))
| union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) = union(symmetric_difference(X_243,X_244),X_18) ),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),union(difference(X_244,X_243),X_18)),union(symmetric_difference(X_243,X_244),X_18)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) = union(symmetric_difference(X_243,X_244),X_18),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))),union(difference(X_243,X_244),union(difference(X_244,X_243),X_18))) )],[refute_0_39,refute_0_44]) ).
cnf(refute_0_46,plain,
union(union(X_17,difference(B,C)),difference(C,B)) = union(X_17,union(difference(B,C),difference(C,B))),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(difference(B,C))),bind(D,$fot(difference(C,B)))]]) ).
cnf(refute_0_47,plain,
( union(difference(B,C),difference(C,B)) != symmetric_difference(B,C)
| union(union(X_17,difference(B,C)),difference(C,B)) != union(X_17,union(difference(B,C),difference(C,B)))
| union(union(X_17,difference(B,C)),difference(C,B)) = union(X_17,symmetric_difference(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,difference(B,C)),difference(C,B)),union(X_17,union(difference(B,C),difference(C,B)))) ),[1,1],$fot(symmetric_difference(B,C))]]) ).
cnf(refute_0_48,plain,
( union(union(X_17,difference(B,C)),difference(C,B)) != union(X_17,union(difference(B,C),difference(C,B)))
| union(union(X_17,difference(B,C)),difference(C,B)) = union(X_17,symmetric_difference(B,C)) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),difference(C,B)),symmetric_difference(B,C)) )],[refute_0_15,refute_0_47]) ).
cnf(refute_0_49,plain,
union(union(X_17,difference(B,C)),difference(C,B)) = union(X_17,symmetric_difference(B,C)),
inference(resolve,[$cnf( $equal(union(union(X_17,difference(B,C)),difference(C,B)),union(X_17,union(difference(B,C),difference(C,B)))) )],[refute_0_46,refute_0_48]) ).
cnf(refute_0_50,plain,
union(union(X_17,difference(B,C)),difference(C,B)) = union(difference(C,B),union(X_17,difference(B,C))),
inference(subst,[],[refute_0_6:[bind(B,$fot(difference(C,B))),bind(C,$fot(union(X_17,difference(B,C))))]]) ).
cnf(refute_0_51,plain,
( union(union(X_17,difference(B,C)),difference(C,B)) != union(X_17,symmetric_difference(B,C))
| union(union(X_17,difference(B,C)),difference(C,B)) != union(difference(C,B),union(X_17,difference(B,C)))
| union(difference(C,B),union(X_17,difference(B,C))) = union(X_17,symmetric_difference(B,C)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,difference(B,C)),difference(C,B)),union(X_17,symmetric_difference(B,C))) ),[0],$fot(union(difference(C,B),union(X_17,difference(B,C))))]]) ).
cnf(refute_0_52,plain,
( union(union(X_17,difference(B,C)),difference(C,B)) != union(X_17,symmetric_difference(B,C))
| union(difference(C,B),union(X_17,difference(B,C))) = union(X_17,symmetric_difference(B,C)) ),
inference(resolve,[$cnf( $equal(union(union(X_17,difference(B,C)),difference(C,B)),union(difference(C,B),union(X_17,difference(B,C)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
union(difference(C,B),union(X_17,difference(B,C))) = union(X_17,symmetric_difference(B,C)),
inference(resolve,[$cnf( $equal(union(union(X_17,difference(B,C)),difference(C,B)),union(X_17,symmetric_difference(B,C))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) = union(X_18,symmetric_difference(X_244,X_243)),
inference(subst,[],[refute_0_53:[bind(B,$fot(X_244)),bind(C,$fot(X_243)),bind(X_17,$fot(X_18))]]) ).
cnf(refute_0_55,plain,
( union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) != union(X_18,symmetric_difference(X_244,X_243))
| union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) != union(symmetric_difference(X_243,X_244),X_18)
| union(X_18,symmetric_difference(X_244,X_243)) = union(symmetric_difference(X_243,X_244),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))),union(symmetric_difference(X_243,X_244),X_18)) ),[0],$fot(union(X_18,symmetric_difference(X_244,X_243)))]]) ).
cnf(refute_0_56,plain,
( union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))) != union(symmetric_difference(X_243,X_244),X_18)
| union(X_18,symmetric_difference(X_244,X_243)) = union(symmetric_difference(X_243,X_244),X_18) ),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))),union(X_18,symmetric_difference(X_244,X_243))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
union(X_18,symmetric_difference(X_244,X_243)) = union(symmetric_difference(X_243,X_244),X_18),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),union(X_18,difference(X_244,X_243))),union(symmetric_difference(X_243,X_244),X_18)) )],[refute_0_45,refute_0_56]) ).
cnf(refute_0_58,plain,
( union(X_18,symmetric_difference(X_244,X_243)) != union(symmetric_difference(X_243,X_244),X_18)
| union(symmetric_difference(X_243,X_244),X_18) = union(X_18,symmetric_difference(X_244,X_243)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_18,symmetric_difference(X_244,X_243)))),bind(Y,$fot(union(symmetric_difference(X_243,X_244),X_18)))]]) ).
cnf(refute_0_59,plain,
union(symmetric_difference(X_243,X_244),X_18) = union(X_18,symmetric_difference(X_244,X_243)),
inference(resolve,[$cnf( $equal(union(X_18,symmetric_difference(X_244,X_243)),union(symmetric_difference(X_243,X_244),X_18)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) = union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)),
inference(subst,[],[refute_0_59:[bind(X_18,$fot(intersection(X_244,X_243)))]]) ).
cnf(refute_0_61,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(intersection(X_244,X_243),symmetric_difference(X_244,X_243))
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)),union(difference(X_243,X_244),X_244)) ),[0],$fot(union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)))]]) ).
cnf(refute_0_62,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)),union(intersection(X_244,X_243),symmetric_difference(X_244,X_243))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
union(difference(X_243,X_244),X_244) = union(X_244,difference(X_243,X_244)),
inference(subst,[],[refute_0_6:[bind(B,$fot(X_244)),bind(C,$fot(difference(X_243,X_244)))]]) ).
cnf(refute_0_64,plain,
( union(difference(X_243,X_244),X_244) != union(X_244,difference(X_243,X_244))
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)),union(difference(X_243,X_244),X_244)) ),[1],$fot(union(X_244,difference(X_243,X_244)))]]) ).
cnf(refute_0_65,plain,
( union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),X_244),union(X_244,difference(X_243,X_244))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)),union(difference(X_243,X_244),X_244)) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
union(intersection(X_244,X_243),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_244,X_243)),union(difference(X_243,X_244),X_244)) )],[refute_0_28,refute_0_66]) ).
cnf(refute_0_68,plain,
union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_67:[bind(X_243,$fot(skolemFOFtoCNF_C)),bind(X_244,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_69,plain,
( union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),[1],$fot(union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_70,plain,
( union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),symmetric_difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_70,refute_0_10]) ).
cnf(refute_0_72,plain,
union(B,intersection(B,C)) = B,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_73,plain,
union(union(X_17,X_18),intersection(union(X_17,X_18),C)) = union(X_17,X_18),
inference(subst,[],[refute_0_72:[bind(B,$fot(union(X_17,X_18)))]]) ).
cnf(refute_0_74,plain,
union(union(X_17,X_18),intersection(union(X_17,X_18),C)) = union(X_17,union(X_18,intersection(union(X_17,X_18),C))),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(X_18)),bind(D,$fot(intersection(union(X_17,X_18),C)))]]) ).
cnf(refute_0_75,plain,
( union(union(X_17,X_18),intersection(union(X_17,X_18),C)) != union(X_17,X_18)
| union(union(X_17,X_18),intersection(union(X_17,X_18),C)) != union(X_17,union(X_18,intersection(union(X_17,X_18),C)))
| union(X_17,union(X_18,intersection(union(X_17,X_18),C))) = union(X_17,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,X_18),intersection(union(X_17,X_18),C)),union(X_17,X_18)) ),[0],$fot(union(X_17,union(X_18,intersection(union(X_17,X_18),C))))]]) ).
cnf(refute_0_76,plain,
( union(union(X_17,X_18),intersection(union(X_17,X_18),C)) != union(X_17,X_18)
| union(X_17,union(X_18,intersection(union(X_17,X_18),C))) = union(X_17,X_18) ),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),intersection(union(X_17,X_18),C)),union(X_17,union(X_18,intersection(union(X_17,X_18),C)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
union(X_17,union(X_18,intersection(union(X_17,X_18),C))) = union(X_17,X_18),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),intersection(union(X_17,X_18),C)),union(X_17,X_18)) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
union(X_17,union(difference(X_252,X_17),intersection(union(X_17,difference(X_252,X_17)),C))) = union(X_17,difference(X_252,X_17)),
inference(subst,[],[refute_0_77:[bind(X_18,$fot(difference(X_252,X_17)))]]) ).
cnf(refute_0_79,plain,
union(union(difference(B,C),intersection(B,C)),X_19) = union(difference(B,C),union(intersection(B,C),X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(difference(B,C))),bind(C,$fot(intersection(B,C))),bind(D,$fot(X_19))]]) ).
cnf(refute_0_80,plain,
( union(difference(B,C),intersection(B,C)) != B
| union(union(difference(B,C),intersection(B,C)),X_19) != union(difference(B,C),union(intersection(B,C),X_19))
| union(B,X_19) = union(difference(B,C),union(intersection(B,C),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(difference(B,C),intersection(B,C)),X_19),union(difference(B,C),union(intersection(B,C),X_19))) ),[0,0],$fot(B)]]) ).
cnf(refute_0_81,plain,
( union(union(difference(B,C),intersection(B,C)),X_19) != union(difference(B,C),union(intersection(B,C),X_19))
| union(B,X_19) = union(difference(B,C),union(intersection(B,C),X_19)) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),intersection(B,C)),B) )],[refute_0_24,refute_0_80]) ).
cnf(refute_0_82,plain,
union(B,X_19) = union(difference(B,C),union(intersection(B,C),X_19)),
inference(resolve,[$cnf( $equal(union(union(difference(B,C),intersection(B,C)),X_19),union(difference(B,C),union(intersection(B,C),X_19))) )],[refute_0_79,refute_0_81]) ).
cnf(refute_0_83,plain,
union(B,difference(C,B)) = union(difference(B,C),union(intersection(B,C),difference(C,B))),
inference(subst,[],[refute_0_82:[bind(X_19,$fot(difference(C,B)))]]) ).
cnf(refute_0_84,plain,
union(difference(B,C),union(intersection(B,C),difference(C,B))) = union(intersection(B,C),symmetric_difference(C,B)),
inference(subst,[],[refute_0_53:[bind(B,$fot(C)),bind(C,$fot(B)),bind(X_17,$fot(intersection(B,C)))]]) ).
cnf(refute_0_85,plain,
( union(B,difference(C,B)) != union(difference(B,C),union(intersection(B,C),difference(C,B)))
| union(difference(B,C),union(intersection(B,C),difference(C,B))) != union(intersection(B,C),symmetric_difference(C,B))
| union(B,difference(C,B)) = union(intersection(B,C),symmetric_difference(C,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(B,difference(C,B)),union(intersection(B,C),symmetric_difference(C,B))) ),[0],$fot(union(difference(B,C),union(intersection(B,C),difference(C,B))))]]) ).
cnf(refute_0_86,plain,
( union(B,difference(C,B)) != union(difference(B,C),union(intersection(B,C),difference(C,B)))
| union(B,difference(C,B)) = union(intersection(B,C),symmetric_difference(C,B)) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),union(intersection(B,C),difference(C,B))),union(intersection(B,C),symmetric_difference(C,B))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
union(B,difference(C,B)) = union(intersection(B,C),symmetric_difference(C,B)),
inference(resolve,[$cnf( $equal(union(B,difference(C,B)),union(difference(B,C),union(intersection(B,C),difference(C,B)))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) = union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_243,X_244))),
inference(subst,[],[refute_0_18:[bind(B,$fot(X_243)),bind(C,$fot(X_244)),bind(X_19,$fot(intersection(X_243,X_244)))]]) ).
cnf(refute_0_89,plain,
union(difference(X_11,X_12),intersection(X_11,X_12)) = X_11,
inference(subst,[],[refute_0_24:[bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_90,plain,
intersection(B,C) = intersection(C,B),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_91,plain,
intersection(X_12,X_11) = intersection(X_11,X_12),
inference(subst,[],[refute_0_90:[bind(B,$fot(X_12)),bind(C,$fot(X_11))]]) ).
cnf(refute_0_92,plain,
( intersection(X_12,X_11) != intersection(X_11,X_12)
| intersection(X_11,X_12) = intersection(X_12,X_11) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(intersection(X_12,X_11))),bind(Y,$fot(intersection(X_11,X_12)))]]) ).
cnf(refute_0_93,plain,
intersection(X_11,X_12) = intersection(X_12,X_11),
inference(resolve,[$cnf( $equal(intersection(X_12,X_11),intersection(X_11,X_12)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( intersection(X_11,X_12) != intersection(X_12,X_11)
| union(difference(X_11,X_12),intersection(X_11,X_12)) != X_11
| union(difference(X_11,X_12),intersection(X_12,X_11)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_11,X_12)),X_11) ),[0,1],$fot(intersection(X_12,X_11))]]) ).
cnf(refute_0_95,plain,
( union(difference(X_11,X_12),intersection(X_11,X_12)) != X_11
| union(difference(X_11,X_12),intersection(X_12,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(intersection(X_11,X_12),intersection(X_12,X_11)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
union(difference(X_11,X_12),intersection(X_12,X_11)) = X_11,
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_11,X_12)),X_11) )],[refute_0_89,refute_0_95]) ).
cnf(refute_0_97,plain,
union(difference(X_244,X_243),intersection(X_243,X_244)) = X_244,
inference(subst,[],[refute_0_96:[bind(X_11,$fot(X_244)),bind(X_12,$fot(X_243))]]) ).
cnf(refute_0_98,plain,
( union(difference(X_244,X_243),intersection(X_243,X_244)) != X_244
| union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_243,X_244)))
| union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) = union(difference(X_243,X_244),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)),union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_243,X_244)))) ),[1,1],$fot(X_244)]]) ).
cnf(refute_0_99,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_243,X_244)))
| union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) = union(difference(X_243,X_244),X_244) ),
inference(resolve,[$cnf( $equal(union(difference(X_244,X_243),intersection(X_243,X_244)),X_244) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) = union(difference(X_243,X_244),X_244),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)),union(difference(X_243,X_244),union(difference(X_244,X_243),intersection(X_243,X_244)))) )],[refute_0_88,refute_0_99]) ).
cnf(refute_0_101,plain,
union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) = union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)),
inference(subst,[],[refute_0_59:[bind(X_18,$fot(intersection(X_243,X_244)))]]) ).
cnf(refute_0_102,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(difference(X_243,X_244),X_244)
| union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(intersection(X_243,X_244),symmetric_difference(X_244,X_243))
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)),union(difference(X_243,X_244),X_244)) ),[0],$fot(union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)))]]) ).
cnf(refute_0_103,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(difference(X_243,X_244),X_244) ),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)),union(intersection(X_243,X_244),symmetric_difference(X_244,X_243))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( union(difference(X_243,X_244),X_244) != union(X_244,difference(X_243,X_244))
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
introduced(tautology,[equality,[$cnf( $equal(union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)),union(difference(X_243,X_244),X_244)) ),[1],$fot(union(X_244,difference(X_243,X_244)))]]) ).
cnf(refute_0_105,plain,
( union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(union(difference(X_243,X_244),X_244),union(X_244,difference(X_243,X_244))) )],[refute_0_63,refute_0_104]) ).
cnf(refute_0_106,plain,
( union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)) != union(difference(X_243,X_244),X_244)
| union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)) ),
inference(resolve,[$cnf( $equal(union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)),union(difference(X_243,X_244),X_244)) )],[refute_0_103,refute_0_105]) ).
cnf(refute_0_107,plain,
union(intersection(X_243,X_244),symmetric_difference(X_244,X_243)) = union(X_244,difference(X_243,X_244)),
inference(resolve,[$cnf( $equal(union(symmetric_difference(X_243,X_244),intersection(X_243,X_244)),union(difference(X_243,X_244),X_244)) )],[refute_0_100,refute_0_106]) ).
cnf(refute_0_108,plain,
union(intersection(B,C),symmetric_difference(C,B)) = union(C,difference(B,C)),
inference(subst,[],[refute_0_107:[bind(X_243,$fot(B)),bind(X_244,$fot(C))]]) ).
cnf(refute_0_109,plain,
( union(B,difference(C,B)) != union(intersection(B,C),symmetric_difference(C,B))
| union(intersection(B,C),symmetric_difference(C,B)) != union(C,difference(B,C))
| union(B,difference(C,B)) = union(C,difference(B,C)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(B,difference(C,B)),union(C,difference(B,C))) ),[0],$fot(union(intersection(B,C),symmetric_difference(C,B)))]]) ).
cnf(refute_0_110,plain,
( union(B,difference(C,B)) != union(intersection(B,C),symmetric_difference(C,B))
| union(B,difference(C,B)) = union(C,difference(B,C)) ),
inference(resolve,[$cnf( $equal(union(intersection(B,C),symmetric_difference(C,B)),union(C,difference(B,C))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
union(B,difference(C,B)) = union(C,difference(B,C)),
inference(resolve,[$cnf( $equal(union(B,difference(C,B)),union(intersection(B,C),symmetric_difference(C,B))) )],[refute_0_87,refute_0_110]) ).
cnf(refute_0_112,plain,
union(X_17,difference(X_252,X_17)) = union(X_252,difference(X_17,X_252)),
inference(subst,[],[refute_0_111:[bind(B,$fot(X_17)),bind(C,$fot(X_252))]]) ).
cnf(refute_0_113,plain,
( union(X_17,difference(X_252,X_17)) != union(X_252,difference(X_17,X_252))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_17,difference(X_252,X_17)),C))) != union(X_17,difference(X_252,X_17))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,difference(X_252,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_17,difference(X_252,X_17)),C))),union(X_17,difference(X_252,X_17))) ),[0,1,1,0],$fot(union(X_252,difference(X_17,X_252)))]]) ).
cnf(refute_0_114,plain,
( union(X_17,union(difference(X_252,X_17),intersection(union(X_17,difference(X_252,X_17)),C))) != union(X_17,difference(X_252,X_17))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,difference(X_252,X_17)) ),
inference(resolve,[$cnf( $equal(union(X_17,difference(X_252,X_17)),union(X_252,difference(X_17,X_252))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,difference(X_252,X_17)),
inference(resolve,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_17,difference(X_252,X_17)),C))),union(X_17,difference(X_252,X_17))) )],[refute_0_78,refute_0_114]) ).
cnf(refute_0_116,plain,
union(X_17,union(X_252,intersection(union(X_17,X_252),C))) = union(X_17,X_252),
inference(subst,[],[refute_0_77:[bind(X_18,$fot(X_252))]]) ).
cnf(refute_0_117,plain,
union(union(X_17,intersection(X_17,C)),X_19) = union(X_17,union(intersection(X_17,C),X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(intersection(X_17,C))),bind(D,$fot(X_19))]]) ).
cnf(refute_0_118,plain,
union(X_17,intersection(X_17,C)) = X_17,
inference(subst,[],[refute_0_72:[bind(B,$fot(X_17))]]) ).
cnf(refute_0_119,plain,
( union(X_17,intersection(X_17,C)) != X_17
| union(union(X_17,intersection(X_17,C)),X_19) != union(X_17,union(intersection(X_17,C),X_19))
| union(X_17,X_19) = union(X_17,union(intersection(X_17,C),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,intersection(X_17,C)),X_19),union(X_17,union(intersection(X_17,C),X_19))) ),[0,0],$fot(X_17)]]) ).
cnf(refute_0_120,plain,
( union(union(X_17,intersection(X_17,C)),X_19) != union(X_17,union(intersection(X_17,C),X_19))
| union(X_17,X_19) = union(X_17,union(intersection(X_17,C),X_19)) ),
inference(resolve,[$cnf( $equal(union(X_17,intersection(X_17,C)),X_17) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
union(X_17,X_19) = union(X_17,union(intersection(X_17,C),X_19)),
inference(resolve,[$cnf( $equal(union(union(X_17,intersection(X_17,C)),X_19),union(X_17,union(intersection(X_17,C),X_19))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
union(C,X_19) = union(C,union(intersection(C,C),X_19)),
inference(subst,[],[refute_0_121:[bind(X_17,$fot(C))]]) ).
cnf(refute_0_123,plain,
( ~ member(skolemFOFtoCNF_D_1(B,C),C)
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_124,plain,
( ~ member(skolemFOFtoCNF_D_1(X_27,intersection(X_27,X_27)),intersection(X_27,X_27))
| subset(X_27,intersection(X_27,X_27)) ),
inference(subst,[],[refute_0_123:[bind(B,$fot(X_27)),bind(C,$fot(intersection(X_27,X_27)))]]) ).
cnf(refute_0_125,plain,
( member(skolemFOFtoCNF_D_1(B,C),B)
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_126,plain,
( member(skolemFOFtoCNF_D_1(X_24,C),X_24)
| subset(X_24,C) ),
inference(subst,[],[refute_0_125:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_127,plain,
( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_128,plain,
( ~ member(skolemFOFtoCNF_D_1(X_24,C),X_24)
| member(skolemFOFtoCNF_D_1(X_24,C),intersection(X_24,X_24)) ),
inference(subst,[],[refute_0_127:[bind(B,$fot(X_24)),bind(C,$fot(X_24)),bind(D,$fot(skolemFOFtoCNF_D_1(X_24,C)))]]) ).
cnf(refute_0_129,plain,
( member(skolemFOFtoCNF_D_1(X_24,C),intersection(X_24,X_24))
| subset(X_24,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_24,C),X_24) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
( member(skolemFOFtoCNF_D_1(X_27,intersection(X_27,X_27)),intersection(X_27,X_27))
| subset(X_27,intersection(X_27,X_27)) ),
inference(subst,[],[refute_0_129:[bind(C,$fot(intersection(X_27,X_27))),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_131,plain,
subset(X_27,intersection(X_27,X_27)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_27,intersection(X_27,X_27)),intersection(X_27,X_27)) )],[refute_0_130,refute_0_124]) ).
cnf(refute_0_132,plain,
subset(X_135,intersection(X_135,X_135)),
inference(subst,[],[refute_0_131:[bind(X_27,$fot(X_135))]]) ).
cnf(refute_0_133,plain,
( ~ member(skolemFOFtoCNF_D_1(X_42,union(X_42,X_43)),union(X_42,X_43))
| subset(X_42,union(X_42,X_43)) ),
inference(subst,[],[refute_0_123:[bind(B,$fot(X_42)),bind(C,$fot(union(X_42,X_43)))]]) ).
cnf(refute_0_134,plain,
( member(skolemFOFtoCNF_D_1(X_29,C),X_29)
| subset(X_29,C) ),
inference(subst,[],[refute_0_125:[bind(B,$fot(X_29))]]) ).
cnf(refute_0_135,plain,
( ~ member(D,B)
| member(D,union(B,C)) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_136,plain,
( ~ member(skolemFOFtoCNF_D_1(X_29,C),X_29)
| member(skolemFOFtoCNF_D_1(X_29,C),union(X_29,X_30)) ),
inference(subst,[],[refute_0_135:[bind(B,$fot(X_29)),bind(C,$fot(X_30)),bind(D,$fot(skolemFOFtoCNF_D_1(X_29,C)))]]) ).
cnf(refute_0_137,plain,
( member(skolemFOFtoCNF_D_1(X_29,C),union(X_29,X_30))
| subset(X_29,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_29,C),X_29) )],[refute_0_134,refute_0_136]) ).
cnf(refute_0_138,plain,
( member(skolemFOFtoCNF_D_1(X_42,union(X_42,X_43)),union(X_42,X_43))
| subset(X_42,union(X_42,X_43)) ),
inference(subst,[],[refute_0_137:[bind(C,$fot(union(X_42,X_43))),bind(X_29,$fot(X_42)),bind(X_30,$fot(X_43))]]) ).
cnf(refute_0_139,plain,
subset(X_42,union(X_42,X_43)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_42,union(X_42,X_43)),union(X_42,X_43)) )],[refute_0_138,refute_0_133]) ).
cnf(refute_0_140,plain,
subset(X_44,union(X_44,X_45)),
inference(subst,[],[refute_0_139:[bind(X_42,$fot(X_44)),bind(X_43,$fot(X_45))]]) ).
cnf(refute_0_141,plain,
union(X_45,X_44) = union(X_44,X_45),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_45)),bind(C,$fot(X_44))]]) ).
cnf(refute_0_142,plain,
( union(X_45,X_44) != union(X_44,X_45)
| union(X_44,X_45) = union(X_45,X_44) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_45,X_44))),bind(Y,$fot(union(X_44,X_45)))]]) ).
cnf(refute_0_143,plain,
union(X_44,X_45) = union(X_45,X_44),
inference(resolve,[$cnf( $equal(union(X_45,X_44),union(X_44,X_45)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
( union(X_44,X_45) != union(X_45,X_44)
| ~ subset(X_44,union(X_44,X_45))
| subset(X_44,union(X_45,X_44)) ),
introduced(tautology,[equality,[$cnf( subset(X_44,union(X_44,X_45)) ),[1],$fot(union(X_45,X_44))]]) ).
cnf(refute_0_145,plain,
( ~ subset(X_44,union(X_44,X_45))
| subset(X_44,union(X_45,X_44)) ),
inference(resolve,[$cnf( $equal(union(X_44,X_45),union(X_45,X_44)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
subset(X_44,union(X_45,X_44)),
inference(resolve,[$cnf( subset(X_44,union(X_44,X_45)) )],[refute_0_140,refute_0_145]) ).
cnf(refute_0_147,plain,
subset(intersection(B,C),union(difference(B,C),intersection(B,C))),
inference(subst,[],[refute_0_146:[bind(X_44,$fot(intersection(B,C))),bind(X_45,$fot(difference(B,C)))]]) ).
cnf(refute_0_148,plain,
( union(difference(B,C),intersection(B,C)) != B
| ~ subset(intersection(B,C),union(difference(B,C),intersection(B,C)))
| subset(intersection(B,C),B) ),
introduced(tautology,[equality,[$cnf( subset(intersection(B,C),union(difference(B,C),intersection(B,C))) ),[1],$fot(B)]]) ).
cnf(refute_0_149,plain,
( ~ subset(intersection(B,C),union(difference(B,C),intersection(B,C)))
| subset(intersection(B,C),B) ),
inference(resolve,[$cnf( $equal(union(difference(B,C),intersection(B,C)),B) )],[refute_0_24,refute_0_148]) ).
cnf(refute_0_150,plain,
subset(intersection(B,C),B),
inference(resolve,[$cnf( subset(intersection(B,C),union(difference(B,C),intersection(B,C))) )],[refute_0_147,refute_0_149]) ).
cnf(refute_0_151,plain,
subset(intersection(X_89,C),X_89),
inference(subst,[],[refute_0_150:[bind(B,$fot(X_89))]]) ).
cnf(refute_0_152,plain,
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_153,plain,
( ~ subset(X_89,intersection(X_89,C))
| ~ subset(intersection(X_89,C),X_89)
| intersection(X_89,C) = X_89 ),
inference(subst,[],[refute_0_152:[bind(B,$fot(intersection(X_89,C))),bind(C,$fot(X_89))]]) ).
cnf(refute_0_154,plain,
( ~ subset(X_89,intersection(X_89,C))
| intersection(X_89,C) = X_89 ),
inference(resolve,[$cnf( subset(intersection(X_89,C),X_89) )],[refute_0_151,refute_0_153]) ).
cnf(refute_0_155,plain,
( ~ subset(X_135,intersection(X_135,X_135))
| intersection(X_135,X_135) = X_135 ),
inference(subst,[],[refute_0_154:[bind(C,$fot(X_135)),bind(X_89,$fot(X_135))]]) ).
cnf(refute_0_156,plain,
intersection(X_135,X_135) = X_135,
inference(resolve,[$cnf( subset(X_135,intersection(X_135,X_135)) )],[refute_0_132,refute_0_155]) ).
cnf(refute_0_157,plain,
intersection(C,C) = C,
inference(subst,[],[refute_0_156:[bind(X_135,$fot(C))]]) ).
cnf(refute_0_158,plain,
( intersection(C,C) != C
| union(C,X_19) != union(C,union(intersection(C,C),X_19))
| union(C,X_19) = union(C,union(C,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(C,X_19),union(C,union(intersection(C,C),X_19))) ),[1,1,0],$fot(C)]]) ).
cnf(refute_0_159,plain,
( union(C,X_19) != union(C,union(intersection(C,C),X_19))
| union(C,X_19) = union(C,union(C,X_19)) ),
inference(resolve,[$cnf( $equal(intersection(C,C),C) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
union(C,X_19) = union(C,union(C,X_19)),
inference(resolve,[$cnf( $equal(union(C,X_19),union(C,union(intersection(C,C),X_19))) )],[refute_0_122,refute_0_159]) ).
cnf(refute_0_161,plain,
union(C,difference(X_252,C)) = union(C,union(C,difference(X_252,C))),
inference(subst,[],[refute_0_160:[bind(X_19,$fot(difference(X_252,C)))]]) ).
cnf(refute_0_162,plain,
union(C,difference(X_252,C)) = union(X_252,difference(C,X_252)),
inference(subst,[],[refute_0_111:[bind(B,$fot(C)),bind(C,$fot(X_252))]]) ).
cnf(refute_0_163,plain,
( union(C,difference(X_252,C)) != union(C,union(C,difference(X_252,C)))
| union(C,difference(X_252,C)) != union(X_252,difference(C,X_252))
| union(C,difference(X_252,C)) = union(C,union(X_252,difference(C,X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(union(C,difference(X_252,C)),union(C,union(C,difference(X_252,C)))) ),[1,1],$fot(union(X_252,difference(C,X_252)))]]) ).
cnf(refute_0_164,plain,
( union(C,difference(X_252,C)) != union(C,union(C,difference(X_252,C)))
| union(C,difference(X_252,C)) = union(C,union(X_252,difference(C,X_252))) ),
inference(resolve,[$cnf( $equal(union(C,difference(X_252,C)),union(X_252,difference(C,X_252))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
union(C,difference(X_252,C)) = union(C,union(X_252,difference(C,X_252))),
inference(resolve,[$cnf( $equal(union(C,difference(X_252,C)),union(C,union(C,difference(X_252,C)))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
union(X_18,X_17) = union(X_17,X_18),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_18)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_167,plain,
( union(X_18,X_17) != union(X_17,X_18)
| union(X_17,X_18) = union(X_18,X_17) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_18,X_17))),bind(Y,$fot(union(X_17,X_18)))]]) ).
cnf(refute_0_168,plain,
union(X_17,X_18) = union(X_18,X_17),
inference(resolve,[$cnf( $equal(union(X_18,X_17),union(X_17,X_18)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( union(X_17,X_18) != union(X_18,X_17)
| union(union(X_17,X_18),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_18,X_17),X_19) = union(X_17,union(X_18,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_18,X_19))) ),[0,0],$fot(union(X_18,X_17))]]) ).
cnf(refute_0_170,plain,
( union(union(X_17,X_18),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_18,X_17),X_19) = union(X_17,union(X_18,X_19)) ),
inference(resolve,[$cnf( $equal(union(X_17,X_18),union(X_18,X_17)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
union(union(X_18,X_17),X_19) = union(X_17,union(X_18,X_19)),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),X_19),union(X_17,union(X_18,X_19))) )],[refute_0_29,refute_0_170]) ).
cnf(refute_0_172,plain,
union(union(X_18,X_17),X_19) = union(X_18,union(X_17,X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_18)),bind(C,$fot(X_17)),bind(D,$fot(X_19))]]) ).
cnf(refute_0_173,plain,
( union(union(X_18,X_17),X_19) != union(X_17,union(X_18,X_19))
| union(union(X_18,X_17),X_19) != union(X_18,union(X_17,X_19))
| union(X_18,union(X_17,X_19)) = union(X_17,union(X_18,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_18,X_17),X_19),union(X_17,union(X_18,X_19))) ),[0],$fot(union(X_18,union(X_17,X_19)))]]) ).
cnf(refute_0_174,plain,
( union(union(X_18,X_17),X_19) != union(X_17,union(X_18,X_19))
| union(X_18,union(X_17,X_19)) = union(X_17,union(X_18,X_19)) ),
inference(resolve,[$cnf( $equal(union(union(X_18,X_17),X_19),union(X_18,union(X_17,X_19))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
union(X_18,union(X_17,X_19)) = union(X_17,union(X_18,X_19)),
inference(resolve,[$cnf( $equal(union(union(X_18,X_17),X_19),union(X_17,union(X_18,X_19))) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
union(X_18,union(X_17,difference(X_18,X_141))) = union(X_17,union(X_18,difference(X_18,X_141))),
inference(subst,[],[refute_0_175:[bind(X_19,$fot(difference(X_18,X_141)))]]) ).
cnf(refute_0_177,plain,
union(union(X_17,intersection(C,X_17)),X_19) = union(X_17,union(intersection(C,X_17),X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(intersection(C,X_17))),bind(D,$fot(X_19))]]) ).
cnf(refute_0_178,plain,
( intersection(B,C) != intersection(C,B)
| union(B,intersection(B,C)) != B
| union(B,intersection(C,B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(union(B,intersection(B,C)),B) ),[0,1],$fot(intersection(C,B))]]) ).
cnf(refute_0_179,plain,
( union(B,intersection(B,C)) != B
| union(B,intersection(C,B)) = B ),
inference(resolve,[$cnf( $equal(intersection(B,C),intersection(C,B)) )],[refute_0_90,refute_0_178]) ).
cnf(refute_0_180,plain,
union(B,intersection(C,B)) = B,
inference(resolve,[$cnf( $equal(union(B,intersection(B,C)),B) )],[refute_0_72,refute_0_179]) ).
cnf(refute_0_181,plain,
union(X_17,intersection(C,X_17)) = X_17,
inference(subst,[],[refute_0_180:[bind(B,$fot(X_17))]]) ).
cnf(refute_0_182,plain,
( union(X_17,intersection(C,X_17)) != X_17
| union(union(X_17,intersection(C,X_17)),X_19) != union(X_17,union(intersection(C,X_17),X_19))
| union(X_17,X_19) = union(X_17,union(intersection(C,X_17),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(X_17,intersection(C,X_17)),X_19),union(X_17,union(intersection(C,X_17),X_19))) ),[0,0],$fot(X_17)]]) ).
cnf(refute_0_183,plain,
( union(union(X_17,intersection(C,X_17)),X_19) != union(X_17,union(intersection(C,X_17),X_19))
| union(X_17,X_19) = union(X_17,union(intersection(C,X_17),X_19)) ),
inference(resolve,[$cnf( $equal(union(X_17,intersection(C,X_17)),X_17) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
union(X_17,X_19) = union(X_17,union(intersection(C,X_17),X_19)),
inference(resolve,[$cnf( $equal(union(union(X_17,intersection(C,X_17)),X_19),union(X_17,union(intersection(C,X_17),X_19))) )],[refute_0_177,refute_0_183]) ).
cnf(refute_0_185,plain,
union(difference(X_11,X_12),intersection(X_12,X_11)) = union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))),
inference(subst,[],[refute_0_184:[bind(C,$fot(X_67)),bind(X_17,$fot(difference(X_11,X_12))),bind(X_19,$fot(intersection(X_12,X_11)))]]) ).
cnf(refute_0_186,plain,
( union(difference(X_11,X_12),intersection(X_12,X_11)) != X_11
| union(difference(X_11,X_12),intersection(X_12,X_11)) != union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))
| X_11 = union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_12,X_11)),union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))) ),[0],$fot(X_11)]]) ).
cnf(refute_0_187,plain,
( union(difference(X_11,X_12),intersection(X_12,X_11)) != union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))
| X_11 = union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_12,X_11)),X_11) )],[refute_0_96,refute_0_186]) ).
cnf(refute_0_188,plain,
X_11 = union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_12,X_11)),union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
union(intersection(X_67,difference(X_11,X_12)),X_11) = union(X_11,intersection(X_67,difference(X_11,X_12))),
inference(subst,[],[refute_0_6:[bind(B,$fot(X_11)),bind(C,$fot(intersection(X_67,difference(X_11,X_12))))]]) ).
cnf(refute_0_190,plain,
union(B,union(X_17,X_18)) = union(union(X_17,X_18),B),
inference(subst,[],[refute_0_1:[bind(C,$fot(union(X_17,X_18)))]]) ).
cnf(refute_0_191,plain,
union(union(X_17,X_18),B) = union(X_17,union(X_18,B)),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(X_18)),bind(D,$fot(B))]]) ).
cnf(refute_0_192,plain,
( union(B,union(X_17,X_18)) != union(union(X_17,X_18),B)
| union(union(X_17,X_18),B) != union(X_17,union(X_18,B))
| union(B,union(X_17,X_18)) = union(X_17,union(X_18,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(B,union(X_17,X_18)),union(X_17,union(X_18,B))) ),[0],$fot(union(union(X_17,X_18),B))]]) ).
cnf(refute_0_193,plain,
( union(B,union(X_17,X_18)) != union(union(X_17,X_18),B)
| union(B,union(X_17,X_18)) = union(X_17,union(X_18,B)) ),
inference(resolve,[$cnf( $equal(union(union(X_17,X_18),B),union(X_17,union(X_18,B))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
union(B,union(X_17,X_18)) = union(X_17,union(X_18,B)),
inference(resolve,[$cnf( $equal(union(B,union(X_17,X_18)),union(union(X_17,X_18),B)) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) = union(X_62,union(difference(X_11,X_12),intersection(X_12,X_11))),
inference(subst,[],[refute_0_194:[bind(B,$fot(intersection(X_12,X_11))),bind(X_17,$fot(X_62)),bind(X_18,$fot(difference(X_11,X_12)))]]) ).
cnf(refute_0_196,plain,
( union(difference(X_11,X_12),intersection(X_12,X_11)) != X_11
| union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) != union(X_62,union(difference(X_11,X_12),intersection(X_12,X_11)))
| union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) = union(X_62,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))),union(X_62,union(difference(X_11,X_12),intersection(X_12,X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_197,plain,
( union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) != union(X_62,union(difference(X_11,X_12),intersection(X_12,X_11)))
| union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) = union(X_62,X_11) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_12,X_11)),X_11) )],[refute_0_96,refute_0_196]) ).
cnf(refute_0_198,plain,
union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) = union(X_62,X_11),
inference(resolve,[$cnf( $equal(union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))),union(X_62,union(difference(X_11,X_12),intersection(X_12,X_11)))) )],[refute_0_195,refute_0_197]) ).
cnf(refute_0_199,plain,
union(X_61,union(X_62,X_63)) = union(X_62,union(X_63,X_61)),
inference(subst,[],[refute_0_194:[bind(B,$fot(X_61)),bind(X_17,$fot(X_62)),bind(X_18,$fot(X_63))]]) ).
cnf(refute_0_200,plain,
union(X_63,X_62) = union(X_62,X_63),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_63)),bind(C,$fot(X_62))]]) ).
cnf(refute_0_201,plain,
( union(X_63,X_62) != union(X_62,X_63)
| union(X_62,X_63) = union(X_63,X_62) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_63,X_62))),bind(Y,$fot(union(X_62,X_63)))]]) ).
cnf(refute_0_202,plain,
union(X_62,X_63) = union(X_63,X_62),
inference(resolve,[$cnf( $equal(union(X_63,X_62),union(X_62,X_63)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( union(X_61,union(X_62,X_63)) != union(X_62,union(X_63,X_61))
| union(X_62,X_63) != union(X_63,X_62)
| union(X_61,union(X_63,X_62)) = union(X_62,union(X_63,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_61,union(X_62,X_63)),union(X_62,union(X_63,X_61))) ),[0,1],$fot(union(X_63,X_62))]]) ).
cnf(refute_0_204,plain,
( union(X_61,union(X_62,X_63)) != union(X_62,union(X_63,X_61))
| union(X_61,union(X_63,X_62)) = union(X_62,union(X_63,X_61)) ),
inference(resolve,[$cnf( $equal(union(X_62,X_63),union(X_63,X_62)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
union(X_61,union(X_63,X_62)) = union(X_62,union(X_63,X_61)),
inference(resolve,[$cnf( $equal(union(X_61,union(X_62,X_63)),union(X_62,union(X_63,X_61))) )],[refute_0_199,refute_0_204]) ).
cnf(refute_0_206,plain,
( union(X_61,union(X_63,X_62)) != union(X_62,union(X_63,X_61))
| union(X_62,union(X_63,X_61)) = union(X_61,union(X_63,X_62)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_61,union(X_63,X_62)))),bind(Y,$fot(union(X_62,union(X_63,X_61))))]]) ).
cnf(refute_0_207,plain,
union(X_62,union(X_63,X_61)) = union(X_61,union(X_63,X_62)),
inference(resolve,[$cnf( $equal(union(X_61,union(X_63,X_62)),union(X_62,union(X_63,X_61))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) = union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11))),
inference(subst,[],[refute_0_207:[bind(X_61,$fot(difference(X_11,X_12))),bind(X_62,$fot(intersection(X_12,X_11))),bind(X_63,$fot(X_62))]]) ).
cnf(refute_0_209,plain,
( union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) != union(X_62,X_11)
| union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) != union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11)))
| union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11))) = union(X_62,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))),union(X_62,X_11)) ),[0],$fot(union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11))))]]) ).
cnf(refute_0_210,plain,
( union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))) != union(X_62,X_11)
| union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11))) = union(X_62,X_11) ),
inference(resolve,[$cnf( $equal(union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))),union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11)))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
union(difference(X_11,X_12),union(X_62,intersection(X_12,X_11))) = union(X_62,X_11),
inference(resolve,[$cnf( $equal(union(intersection(X_12,X_11),union(X_62,difference(X_11,X_12))),union(X_62,X_11)) )],[refute_0_198,refute_0_210]) ).
cnf(refute_0_212,plain,
union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) = union(intersection(X_67,difference(X_11,X_12)),X_11),
inference(subst,[],[refute_0_211:[bind(X_62,$fot(intersection(X_67,difference(X_11,X_12))))]]) ).
cnf(refute_0_213,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_214,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_213]) ).
cnf(refute_0_215,plain,
( union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) != union(intersection(X_67,difference(X_11,X_12)),X_11)
| union(intersection(X_67,difference(X_11,X_12)),X_11) != union(X_11,intersection(X_67,difference(X_11,X_12)))
| union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) = union(X_11,intersection(X_67,difference(X_11,X_12))) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))))),bind(Y,$fot(union(intersection(X_67,difference(X_11,X_12)),X_11))),bind(Z,$fot(union(X_11,intersection(X_67,difference(X_11,X_12)))))]]) ).
cnf(refute_0_216,plain,
( union(intersection(X_67,difference(X_11,X_12)),X_11) != union(X_11,intersection(X_67,difference(X_11,X_12)))
| union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) = union(X_11,intersection(X_67,difference(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))),union(intersection(X_67,difference(X_11,X_12)),X_11)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) = union(X_11,intersection(X_67,difference(X_11,X_12))),
inference(resolve,[$cnf( $equal(union(intersection(X_67,difference(X_11,X_12)),X_11),union(X_11,intersection(X_67,difference(X_11,X_12)))) )],[refute_0_189,refute_0_216]) ).
cnf(refute_0_218,plain,
( X_11 != union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))
| union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))) != union(X_11,intersection(X_67,difference(X_11,X_12)))
| X_11 = union(X_11,intersection(X_67,difference(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_11,union(X_11,intersection(X_67,difference(X_11,X_12)))) ),[0],$fot(union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))))]]) ).
cnf(refute_0_219,plain,
( X_11 != union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))
| X_11 = union(X_11,intersection(X_67,difference(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11))),union(X_11,intersection(X_67,difference(X_11,X_12)))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
X_11 = union(X_11,intersection(X_67,difference(X_11,X_12))),
inference(resolve,[$cnf( $equal(X_11,union(difference(X_11,X_12),union(intersection(X_67,difference(X_11,X_12)),intersection(X_12,X_11)))) )],[refute_0_188,refute_0_219]) ).
cnf(refute_0_221,plain,
X_11 = union(X_11,intersection(difference(X_11,X_12),difference(X_11,X_12))),
inference(subst,[],[refute_0_220:[bind(X_67,$fot(difference(X_11,X_12)))]]) ).
cnf(refute_0_222,plain,
intersection(difference(X_11,X_12),difference(X_11,X_12)) = difference(X_11,X_12),
inference(subst,[],[refute_0_156:[bind(X_135,$fot(difference(X_11,X_12)))]]) ).
cnf(refute_0_223,plain,
( X_11 != union(X_11,intersection(difference(X_11,X_12),difference(X_11,X_12)))
| intersection(difference(X_11,X_12),difference(X_11,X_12)) != difference(X_11,X_12)
| X_11 = union(X_11,difference(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(X_11,union(X_11,intersection(difference(X_11,X_12),difference(X_11,X_12)))) ),[1,1],$fot(difference(X_11,X_12))]]) ).
cnf(refute_0_224,plain,
( X_11 != union(X_11,intersection(difference(X_11,X_12),difference(X_11,X_12)))
| X_11 = union(X_11,difference(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(intersection(difference(X_11,X_12),difference(X_11,X_12)),difference(X_11,X_12)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
X_11 = union(X_11,difference(X_11,X_12)),
inference(resolve,[$cnf( $equal(X_11,union(X_11,intersection(difference(X_11,X_12),difference(X_11,X_12)))) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
X_18 = union(X_18,difference(X_18,X_141)),
inference(subst,[],[refute_0_225:[bind(X_11,$fot(X_18)),bind(X_12,$fot(X_141))]]) ).
cnf(refute_0_227,plain,
( X_18 != union(X_18,difference(X_18,X_141))
| union(X_18,difference(X_18,X_141)) = X_18 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_18)),bind(Y,$fot(union(X_18,difference(X_18,X_141))))]]) ).
cnf(refute_0_228,plain,
union(X_18,difference(X_18,X_141)) = X_18,
inference(resolve,[$cnf( $equal(X_18,union(X_18,difference(X_18,X_141))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( union(X_18,difference(X_18,X_141)) != X_18
| union(X_18,union(X_17,difference(X_18,X_141))) != union(X_17,union(X_18,difference(X_18,X_141)))
| union(X_18,union(X_17,difference(X_18,X_141))) = union(X_17,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_18,union(X_17,difference(X_18,X_141))),union(X_17,union(X_18,difference(X_18,X_141)))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_230,plain,
( union(X_18,union(X_17,difference(X_18,X_141))) != union(X_17,union(X_18,difference(X_18,X_141)))
| union(X_18,union(X_17,difference(X_18,X_141))) = union(X_17,X_18) ),
inference(resolve,[$cnf( $equal(union(X_18,difference(X_18,X_141)),X_18) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
union(X_18,union(X_17,difference(X_18,X_141))) = union(X_17,X_18),
inference(resolve,[$cnf( $equal(union(X_18,union(X_17,difference(X_18,X_141))),union(X_17,union(X_18,difference(X_18,X_141)))) )],[refute_0_176,refute_0_230]) ).
cnf(refute_0_232,plain,
union(C,union(X_252,difference(C,X_252))) = union(X_252,C),
inference(subst,[],[refute_0_231:[bind(X_141,$fot(X_252)),bind(X_17,$fot(X_252)),bind(X_18,$fot(C))]]) ).
cnf(refute_0_233,plain,
( union(C,difference(X_252,C)) != union(C,union(X_252,difference(C,X_252)))
| union(C,union(X_252,difference(C,X_252))) != union(X_252,C)
| union(C,difference(X_252,C)) = union(X_252,C) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(C,difference(X_252,C)),union(X_252,C)) ),[0],$fot(union(C,union(X_252,difference(C,X_252))))]]) ).
cnf(refute_0_234,plain,
( union(C,difference(X_252,C)) != union(C,union(X_252,difference(C,X_252)))
| union(C,difference(X_252,C)) = union(X_252,C) ),
inference(resolve,[$cnf( $equal(union(C,union(X_252,difference(C,X_252))),union(X_252,C)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
union(C,difference(X_252,C)) = union(X_252,C),
inference(resolve,[$cnf( $equal(union(C,difference(X_252,C)),union(C,union(X_252,difference(C,X_252)))) )],[refute_0_165,refute_0_234]) ).
cnf(refute_0_236,plain,
union(X_252,difference(X_17,X_252)) = union(X_17,X_252),
inference(subst,[],[refute_0_235:[bind(C,$fot(X_252)),bind(X_252,$fot(X_17))]]) ).
cnf(refute_0_237,plain,
intersection(union(X_252,difference(X_17,X_252)),C) = intersection(union(X_252,difference(X_17,X_252)),C),
introduced(tautology,[refl,[$fot(intersection(union(X_252,difference(X_17,X_252)),C))]]) ).
cnf(refute_0_238,plain,
( intersection(union(X_252,difference(X_17,X_252)),C) != intersection(union(X_252,difference(X_17,X_252)),C)
| union(X_252,difference(X_17,X_252)) != union(X_17,X_252)
| intersection(union(X_252,difference(X_17,X_252)),C) = intersection(union(X_17,X_252),C) ),
introduced(tautology,[equality,[$cnf( $equal(intersection(union(X_252,difference(X_17,X_252)),C),intersection(union(X_252,difference(X_17,X_252)),C)) ),[1,0],$fot(union(X_17,X_252))]]) ).
cnf(refute_0_239,plain,
( union(X_252,difference(X_17,X_252)) != union(X_17,X_252)
| intersection(union(X_252,difference(X_17,X_252)),C) = intersection(union(X_17,X_252),C) ),
inference(resolve,[$cnf( $equal(intersection(union(X_252,difference(X_17,X_252)),C),intersection(union(X_252,difference(X_17,X_252)),C)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
intersection(union(X_252,difference(X_17,X_252)),C) = intersection(union(X_17,X_252),C),
inference(resolve,[$cnf( $equal(union(X_252,difference(X_17,X_252)),union(X_17,X_252)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) = union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)),
introduced(tautology,[refl,[$fot(union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))]]) ).
cnf(refute_0_242,plain,
( intersection(union(X_252,difference(X_17,X_252)),C) != intersection(union(X_17,X_252),C)
| union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) != union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))
| union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) = union(X_252,intersection(union(X_17,X_252),C)) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)),union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) ),[1,1],$fot(intersection(union(X_17,X_252),C))]]) ).
cnf(refute_0_243,plain,
( intersection(union(X_252,difference(X_17,X_252)),C) != intersection(union(X_17,X_252),C)
| union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) = union(X_252,intersection(union(X_17,X_252),C)) ),
inference(resolve,[$cnf( $equal(union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)),union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) = union(X_252,intersection(union(X_17,X_252),C)),
inference(resolve,[$cnf( $equal(intersection(union(X_252,difference(X_17,X_252)),C),intersection(union(X_17,X_252),C)) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),
introduced(tautology,[refl,[$fot(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))))]]) ).
cnf(refute_0_246,plain,
( union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) != union(X_252,intersection(union(X_17,X_252),C))
| union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_17,X_252),C))) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))) ),[1,1],$fot(union(X_252,intersection(union(X_17,X_252),C)))]]) ).
cnf(refute_0_247,plain,
( union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)) != union(X_252,intersection(union(X_17,X_252),C))
| union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_17,X_252),C))) ),
inference(resolve,[$cnf( $equal(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_17,X_252),C))),
inference(resolve,[$cnf( $equal(union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)),union(X_252,intersection(union(X_17,X_252),C))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( union(X_17,union(X_252,intersection(union(X_17,X_252),C))) != union(X_17,X_252)
| union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,union(X_252,intersection(union(X_17,X_252),C)))
| union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))))),bind(Y,$fot(union(X_17,union(X_252,intersection(union(X_17,X_252),C))))),bind(Z,$fot(union(X_17,X_252)))]]) ).
cnf(refute_0_250,plain,
( union(X_17,union(X_252,intersection(union(X_17,X_252),C))) != union(X_17,X_252)
| union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252) ),
inference(resolve,[$cnf( $equal(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,union(X_252,intersection(union(X_17,X_252),C)))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252),
inference(resolve,[$cnf( $equal(union(X_17,union(X_252,intersection(union(X_17,X_252),C))),union(X_17,X_252)) )],[refute_0_116,refute_0_250]) ).
cnf(refute_0_252,plain,
union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),
inference(subst,[],[refute_0_11:[bind(B,$fot(X_17)),bind(C,$fot(X_252)),bind(D,$fot(intersection(union(X_252,difference(X_17,X_252)),C)))]]) ).
cnf(refute_0_253,plain,
union(union(difference(X_11,X_12),intersection(X_12,X_11)),X_19) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)),
inference(subst,[],[refute_0_11:[bind(B,$fot(difference(X_11,X_12))),bind(C,$fot(intersection(X_12,X_11))),bind(D,$fot(X_19))]]) ).
cnf(refute_0_254,plain,
( union(difference(X_11,X_12),intersection(X_12,X_11)) != X_11
| union(union(difference(X_11,X_12),intersection(X_12,X_11)),X_19) != union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))
| union(X_11,X_19) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(union(union(difference(X_11,X_12),intersection(X_12,X_11)),X_19),union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))) ),[0,0],$fot(X_11)]]) ).
cnf(refute_0_255,plain,
( union(union(difference(X_11,X_12),intersection(X_12,X_11)),X_19) != union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))
| union(X_11,X_19) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),intersection(X_12,X_11)),X_11) )],[refute_0_96,refute_0_254]) ).
cnf(refute_0_256,plain,
union(X_11,X_19) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)),
inference(resolve,[$cnf( $equal(union(union(difference(X_11,X_12),intersection(X_12,X_11)),X_19),union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))) )],[refute_0_253,refute_0_255]) ).
cnf(refute_0_257,plain,
union(X_11,difference(X_252,intersection(X_12,X_11))) = union(difference(X_11,X_12),union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11)))),
inference(subst,[],[refute_0_256:[bind(X_19,$fot(difference(X_252,intersection(X_12,X_11))))]]) ).
cnf(refute_0_258,plain,
union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))) = union(X_252,difference(intersection(X_12,X_11),X_252)),
inference(subst,[],[refute_0_111:[bind(B,$fot(intersection(X_12,X_11))),bind(C,$fot(X_252))]]) ).
cnf(refute_0_259,plain,
( union(X_11,difference(X_252,intersection(X_12,X_11))) != union(difference(X_11,X_12),union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))))
| union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))) != union(X_252,difference(intersection(X_12,X_11),X_252))
| union(X_11,difference(X_252,intersection(X_12,X_11))) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_11,difference(X_252,intersection(X_12,X_11))),union(difference(X_11,X_12),union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))))) ),[1,1],$fot(union(X_252,difference(intersection(X_12,X_11),X_252)))]]) ).
cnf(refute_0_260,plain,
( union(X_11,difference(X_252,intersection(X_12,X_11))) != union(difference(X_11,X_12),union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))))
| union(X_11,difference(X_252,intersection(X_12,X_11))) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) ),
inference(resolve,[$cnf( $equal(union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))),union(X_252,difference(intersection(X_12,X_11),X_252))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
union(X_11,difference(X_252,intersection(X_12,X_11))) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),
inference(resolve,[$cnf( $equal(union(X_11,difference(X_252,intersection(X_12,X_11))),union(difference(X_11,X_12),union(intersection(X_12,X_11),difference(X_252,intersection(X_12,X_11))))) )],[refute_0_257,refute_0_260]) ).
cnf(refute_0_262,plain,
union(X_17,difference(X_252,intersection(C,X_17))) = union(X_17,union(intersection(C,X_17),difference(X_252,intersection(C,X_17)))),
inference(subst,[],[refute_0_184:[bind(X_19,$fot(difference(X_252,intersection(C,X_17))))]]) ).
cnf(refute_0_263,plain,
union(intersection(C,X_17),difference(X_252,intersection(C,X_17))) = union(X_252,difference(intersection(C,X_17),X_252)),
inference(subst,[],[refute_0_111:[bind(B,$fot(intersection(C,X_17))),bind(C,$fot(X_252))]]) ).
cnf(refute_0_264,plain,
( union(X_17,difference(X_252,intersection(C,X_17))) != union(X_17,union(intersection(C,X_17),difference(X_252,intersection(C,X_17))))
| union(intersection(C,X_17),difference(X_252,intersection(C,X_17))) != union(X_252,difference(intersection(C,X_17),X_252))
| union(X_17,difference(X_252,intersection(C,X_17))) = union(X_17,union(X_252,difference(intersection(C,X_17),X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_17,difference(X_252,intersection(C,X_17))),union(X_17,union(intersection(C,X_17),difference(X_252,intersection(C,X_17))))) ),[1,1],$fot(union(X_252,difference(intersection(C,X_17),X_252)))]]) ).
cnf(refute_0_265,plain,
( union(X_17,difference(X_252,intersection(C,X_17))) != union(X_17,union(intersection(C,X_17),difference(X_252,intersection(C,X_17))))
| union(X_17,difference(X_252,intersection(C,X_17))) = union(X_17,union(X_252,difference(intersection(C,X_17),X_252))) ),
inference(resolve,[$cnf( $equal(union(intersection(C,X_17),difference(X_252,intersection(C,X_17))),union(X_252,difference(intersection(C,X_17),X_252))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
union(X_17,difference(X_252,intersection(C,X_17))) = union(X_17,union(X_252,difference(intersection(C,X_17),X_252))),
inference(resolve,[$cnf( $equal(union(X_17,difference(X_252,intersection(C,X_17))),union(X_17,union(intersection(C,X_17),difference(X_252,intersection(C,X_17))))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) = union(X_17,union(X_18,difference(intersection(X_229,X_18),X_230))),
inference(subst,[],[refute_0_175:[bind(X_19,$fot(difference(intersection(X_229,X_18),X_230)))]]) ).
cnf(refute_0_268,plain,
union(X_17,difference(intersection(C,X_17),X_141)) = union(X_17,union(intersection(C,X_17),difference(intersection(C,X_17),X_141))),
inference(subst,[],[refute_0_184:[bind(X_19,$fot(difference(intersection(C,X_17),X_141)))]]) ).
cnf(refute_0_269,plain,
intersection(C,X_17) = union(intersection(C,X_17),difference(intersection(C,X_17),X_141)),
inference(subst,[],[refute_0_225:[bind(X_11,$fot(intersection(C,X_17))),bind(X_12,$fot(X_141))]]) ).
cnf(refute_0_270,plain,
( intersection(C,X_17) != union(intersection(C,X_17),difference(intersection(C,X_17),X_141))
| union(intersection(C,X_17),difference(intersection(C,X_17),X_141)) = intersection(C,X_17) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(intersection(C,X_17))),bind(Y,$fot(union(intersection(C,X_17),difference(intersection(C,X_17),X_141))))]]) ).
cnf(refute_0_271,plain,
union(intersection(C,X_17),difference(intersection(C,X_17),X_141)) = intersection(C,X_17),
inference(resolve,[$cnf( $equal(intersection(C,X_17),union(intersection(C,X_17),difference(intersection(C,X_17),X_141))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( union(X_17,difference(intersection(C,X_17),X_141)) != union(X_17,union(intersection(C,X_17),difference(intersection(C,X_17),X_141)))
| union(intersection(C,X_17),difference(intersection(C,X_17),X_141)) != intersection(C,X_17)
| union(X_17,difference(intersection(C,X_17),X_141)) = union(X_17,intersection(C,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_17,difference(intersection(C,X_17),X_141)),union(X_17,union(intersection(C,X_17),difference(intersection(C,X_17),X_141)))) ),[1,1],$fot(intersection(C,X_17))]]) ).
cnf(refute_0_273,plain,
( union(X_17,difference(intersection(C,X_17),X_141)) != union(X_17,union(intersection(C,X_17),difference(intersection(C,X_17),X_141)))
| union(X_17,difference(intersection(C,X_17),X_141)) = union(X_17,intersection(C,X_17)) ),
inference(resolve,[$cnf( $equal(union(intersection(C,X_17),difference(intersection(C,X_17),X_141)),intersection(C,X_17)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
union(X_17,difference(intersection(C,X_17),X_141)) = union(X_17,intersection(C,X_17)),
inference(resolve,[$cnf( $equal(union(X_17,difference(intersection(C,X_17),X_141)),union(X_17,union(intersection(C,X_17),difference(intersection(C,X_17),X_141)))) )],[refute_0_268,refute_0_273]) ).
cnf(refute_0_275,plain,
( union(X_17,difference(intersection(C,X_17),X_141)) != union(X_17,intersection(C,X_17))
| union(X_17,intersection(C,X_17)) != X_17
| union(X_17,difference(intersection(C,X_17),X_141)) = X_17 ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(X_17,difference(intersection(C,X_17),X_141)),X_17) ),[0],$fot(union(X_17,intersection(C,X_17)))]]) ).
cnf(refute_0_276,plain,
( union(X_17,difference(intersection(C,X_17),X_141)) != union(X_17,intersection(C,X_17))
| union(X_17,difference(intersection(C,X_17),X_141)) = X_17 ),
inference(resolve,[$cnf( $equal(union(X_17,intersection(C,X_17)),X_17) )],[refute_0_181,refute_0_275]) ).
cnf(refute_0_277,plain,
union(X_17,difference(intersection(C,X_17),X_141)) = X_17,
inference(resolve,[$cnf( $equal(union(X_17,difference(intersection(C,X_17),X_141)),union(X_17,intersection(C,X_17))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
union(X_18,difference(intersection(X_229,X_18),X_230)) = X_18,
inference(subst,[],[refute_0_277:[bind(C,$fot(X_229)),bind(X_141,$fot(X_230)),bind(X_17,$fot(X_18))]]) ).
cnf(refute_0_279,plain,
( union(X_18,difference(intersection(X_229,X_18),X_230)) != X_18
| union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) != union(X_17,union(X_18,difference(intersection(X_229,X_18),X_230)))
| union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) = union(X_17,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))),union(X_17,union(X_18,difference(intersection(X_229,X_18),X_230)))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_280,plain,
( union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) != union(X_17,union(X_18,difference(intersection(X_229,X_18),X_230)))
| union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) = union(X_17,X_18) ),
inference(resolve,[$cnf( $equal(union(X_18,difference(intersection(X_229,X_18),X_230)),X_18) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))) = union(X_17,X_18),
inference(resolve,[$cnf( $equal(union(X_18,union(X_17,difference(intersection(X_229,X_18),X_230))),union(X_17,union(X_18,difference(intersection(X_229,X_18),X_230)))) )],[refute_0_267,refute_0_280]) ).
cnf(refute_0_282,plain,
union(X_17,union(X_252,difference(intersection(C,X_17),X_252))) = union(X_252,X_17),
inference(subst,[],[refute_0_281:[bind(X_17,$fot(X_252)),bind(X_18,$fot(X_17)),bind(X_229,$fot(C)),bind(X_230,$fot(X_252))]]) ).
cnf(refute_0_283,plain,
( union(X_17,difference(X_252,intersection(C,X_17))) != union(X_17,union(X_252,difference(intersection(C,X_17),X_252)))
| union(X_17,union(X_252,difference(intersection(C,X_17),X_252))) != union(X_252,X_17)
| union(X_17,difference(X_252,intersection(C,X_17))) = union(X_252,X_17) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(X_17,difference(X_252,intersection(C,X_17))),union(X_252,X_17)) ),[0],$fot(union(X_17,union(X_252,difference(intersection(C,X_17),X_252))))]]) ).
cnf(refute_0_284,plain,
( union(X_17,difference(X_252,intersection(C,X_17))) != union(X_17,union(X_252,difference(intersection(C,X_17),X_252)))
| union(X_17,difference(X_252,intersection(C,X_17))) = union(X_252,X_17) ),
inference(resolve,[$cnf( $equal(union(X_17,union(X_252,difference(intersection(C,X_17),X_252))),union(X_252,X_17)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
union(X_17,difference(X_252,intersection(C,X_17))) = union(X_252,X_17),
inference(resolve,[$cnf( $equal(union(X_17,difference(X_252,intersection(C,X_17))),union(X_17,union(X_252,difference(intersection(C,X_17),X_252)))) )],[refute_0_266,refute_0_284]) ).
cnf(refute_0_286,plain,
union(X_11,difference(X_252,intersection(X_12,X_11))) = union(X_252,X_11),
inference(subst,[],[refute_0_285:[bind(C,$fot(X_12)),bind(X_17,$fot(X_11))]]) ).
cnf(refute_0_287,plain,
( union(X_11,difference(X_252,intersection(X_12,X_11))) != union(X_252,X_11)
| union(X_11,difference(X_252,intersection(X_12,X_11))) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(X_252,X_11) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_11,difference(X_252,intersection(X_12,X_11))),union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))) ),[0],$fot(union(X_252,X_11))]]) ).
cnf(refute_0_288,plain,
( union(X_11,difference(X_252,intersection(X_12,X_11))) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(X_252,X_11) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) ),
inference(resolve,[$cnf( $equal(union(X_11,difference(X_252,intersection(X_12,X_11))),union(X_252,X_11)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
( union(X_11,X_19) != union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))
| union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)) = union(X_11,X_19) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_11,X_19))),bind(Y,$fot(union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))))]]) ).
cnf(refute_0_290,plain,
union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19)) = union(X_11,X_19),
inference(resolve,[$cnf( $equal(union(X_11,X_19),union(difference(X_11,X_12),union(intersection(X_12,X_11),X_19))) )],[refute_0_256,refute_0_289]) ).
cnf(refute_0_291,plain,
union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)) = union(X_11,X_252),
inference(subst,[],[refute_0_290:[bind(X_19,$fot(X_252))]]) ).
cnf(refute_0_292,plain,
union(X_252,difference(intersection(X_12,X_11),X_252)) = union(intersection(X_12,X_11),X_252),
inference(subst,[],[refute_0_235:[bind(C,$fot(X_252)),bind(X_252,$fot(intersection(X_12,X_11)))]]) ).
cnf(refute_0_293,plain,
union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),
introduced(tautology,[refl,[$fot(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))))]]) ).
cnf(refute_0_294,plain,
( union(X_252,difference(intersection(X_12,X_11),X_252)) != union(intersection(X_12,X_11),X_252)
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))) ),[1,1],$fot(union(intersection(X_12,X_11),X_252))]]) ).
cnf(refute_0_295,plain,
( union(X_252,difference(intersection(X_12,X_11),X_252)) != union(intersection(X_12,X_11),X_252)
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)),
inference(resolve,[$cnf( $equal(union(X_252,difference(intersection(X_12,X_11),X_252)),union(intersection(X_12,X_11),X_252)) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
( union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) != union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252))
| union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)) != union(X_11,X_252)
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(X_11,X_252) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))))),bind(Y,$fot(union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)))),bind(Z,$fot(union(X_11,X_252)))]]) ).
cnf(refute_0_298,plain,
( union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)) != union(X_11,X_252)
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(X_11,X_252) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) = union(X_11,X_252),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(intersection(X_12,X_11),X_252)),union(X_11,X_252)) )],[refute_0_291,refute_0_298]) ).
cnf(refute_0_300,plain,
( union(X_252,X_11) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))) != union(X_11,X_252)
| union(X_252,X_11) = union(X_11,X_252) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(X_252,X_11),union(X_11,X_252)) ),[0],$fot(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))))]]) ).
cnf(refute_0_301,plain,
( union(X_252,X_11) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(X_252,X_11) = union(X_11,X_252) ),
inference(resolve,[$cnf( $equal(union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252))),union(X_11,X_252)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( union(X_11,difference(X_252,intersection(X_12,X_11))) != union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))
| union(X_252,X_11) = union(X_11,X_252) ),
inference(resolve,[$cnf( $equal(union(X_252,X_11),union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))) )],[refute_0_288,refute_0_301]) ).
cnf(refute_0_303,plain,
union(X_252,X_11) = union(X_11,X_252),
inference(resolve,[$cnf( $equal(union(X_11,difference(X_252,intersection(X_12,X_11))),union(difference(X_11,X_12),union(X_252,difference(intersection(X_12,X_11),X_252)))) )],[refute_0_261,refute_0_302]) ).
cnf(refute_0_304,plain,
( union(X_252,X_11) != union(X_11,X_252)
| union(X_11,X_252) = union(X_252,X_11) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_252,X_11))),bind(Y,$fot(union(X_11,X_252)))]]) ).
cnf(refute_0_305,plain,
union(X_11,X_252) = union(X_252,X_11),
inference(resolve,[$cnf( $equal(union(X_252,X_11),union(X_11,X_252)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) = union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)),
inference(subst,[],[refute_0_305:[bind(X_11,$fot(intersection(union(X_252,difference(X_17,X_252)),C))),bind(X_252,$fot(union(X_17,X_252)))]]) ).
cnf(refute_0_307,plain,
( union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) != union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C))
| union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)))),bind(Y,$fot(union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)))),bind(Z,$fot(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))))]]) ).
cnf(refute_0_308,plain,
( union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) ),
inference(resolve,[$cnf( $equal(union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)),union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),
inference(resolve,[$cnf( $equal(union(union(X_17,X_252),intersection(union(X_252,difference(X_17,X_252)),C)),union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))) )],[refute_0_252,refute_0_308]) ).
cnf(refute_0_310,plain,
union(B,union(X_17,difference(X_252,X_17))) = union(X_17,union(difference(X_252,X_17),B)),
inference(subst,[],[refute_0_194:[bind(X_18,$fot(difference(X_252,X_17)))]]) ).
cnf(refute_0_311,plain,
( union(B,union(X_17,difference(X_252,X_17))) != union(X_17,union(difference(X_252,X_17),B))
| union(X_17,difference(X_252,X_17)) != union(X_252,difference(X_17,X_252))
| union(B,union(X_252,difference(X_17,X_252))) = union(X_17,union(difference(X_252,X_17),B)) ),
introduced(tautology,[equality,[$cnf( $equal(union(B,union(X_17,difference(X_252,X_17))),union(X_17,union(difference(X_252,X_17),B))) ),[0,1],$fot(union(X_252,difference(X_17,X_252)))]]) ).
cnf(refute_0_312,plain,
( union(B,union(X_17,difference(X_252,X_17))) != union(X_17,union(difference(X_252,X_17),B))
| union(B,union(X_252,difference(X_17,X_252))) = union(X_17,union(difference(X_252,X_17),B)) ),
inference(resolve,[$cnf( $equal(union(X_17,difference(X_252,X_17)),union(X_252,difference(X_17,X_252))) )],[refute_0_112,refute_0_311]) ).
cnf(refute_0_313,plain,
union(B,union(X_252,difference(X_17,X_252))) = union(X_17,union(difference(X_252,X_17),B)),
inference(resolve,[$cnf( $equal(union(B,union(X_17,difference(X_252,X_17))),union(X_17,union(difference(X_252,X_17),B))) )],[refute_0_310,refute_0_312]) ).
cnf(refute_0_314,plain,
union(B,union(X_252,difference(X_17,X_252))) = union(B,union(X_252,difference(X_17,X_252))),
introduced(tautology,[refl,[$fot(union(B,union(X_252,difference(X_17,X_252))))]]) ).
cnf(refute_0_315,plain,
( union(B,union(X_252,difference(X_17,X_252))) != union(B,union(X_252,difference(X_17,X_252)))
| union(X_252,difference(X_17,X_252)) != union(X_17,X_252)
| union(B,union(X_252,difference(X_17,X_252))) = union(B,union(X_17,X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(union(B,union(X_252,difference(X_17,X_252))),union(B,union(X_252,difference(X_17,X_252)))) ),[1,1],$fot(union(X_17,X_252))]]) ).
cnf(refute_0_316,plain,
( union(X_252,difference(X_17,X_252)) != union(X_17,X_252)
| union(B,union(X_252,difference(X_17,X_252))) = union(B,union(X_17,X_252)) ),
inference(resolve,[$cnf( $equal(union(B,union(X_252,difference(X_17,X_252))),union(B,union(X_252,difference(X_17,X_252)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
union(B,union(X_252,difference(X_17,X_252))) = union(B,union(X_17,X_252)),
inference(resolve,[$cnf( $equal(union(X_252,difference(X_17,X_252)),union(X_17,X_252)) )],[refute_0_236,refute_0_316]) ).
cnf(refute_0_318,plain,
( union(B,union(X_252,difference(X_17,X_252))) != union(B,union(X_17,X_252))
| union(B,union(X_252,difference(X_17,X_252))) != union(X_17,union(difference(X_252,X_17),B))
| union(B,union(X_17,X_252)) = union(X_17,union(difference(X_252,X_17),B)) ),
introduced(tautology,[equality,[$cnf( $equal(union(B,union(X_252,difference(X_17,X_252))),union(X_17,union(difference(X_252,X_17),B))) ),[0],$fot(union(B,union(X_17,X_252)))]]) ).
cnf(refute_0_319,plain,
( union(B,union(X_252,difference(X_17,X_252))) != union(X_17,union(difference(X_252,X_17),B))
| union(B,union(X_17,X_252)) = union(X_17,union(difference(X_252,X_17),B)) ),
inference(resolve,[$cnf( $equal(union(B,union(X_252,difference(X_17,X_252))),union(B,union(X_17,X_252))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
union(B,union(X_17,X_252)) = union(X_17,union(difference(X_252,X_17),B)),
inference(resolve,[$cnf( $equal(union(B,union(X_252,difference(X_17,X_252))),union(X_17,union(difference(X_252,X_17),B))) )],[refute_0_313,refute_0_319]) ).
cnf(refute_0_321,plain,
( union(B,union(X_17,X_252)) != union(X_17,union(difference(X_252,X_17),B))
| union(X_17,union(difference(X_252,X_17),B)) = union(B,union(X_17,X_252)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(B,union(X_17,X_252)))),bind(Y,$fot(union(X_17,union(difference(X_252,X_17),B))))]]) ).
cnf(refute_0_322,plain,
union(X_17,union(difference(X_252,X_17),B)) = union(B,union(X_17,X_252)),
inference(resolve,[$cnf( $equal(union(B,union(X_17,X_252)),union(X_17,union(difference(X_252,X_17),B))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)),
inference(subst,[],[refute_0_322:[bind(B,$fot(intersection(union(X_252,difference(X_17,X_252)),C)))]]) ).
cnf(refute_0_324,plain,
( union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252))
| union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))))),bind(Y,$fot(union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)))),bind(Z,$fot(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))))]]) ).
cnf(refute_0_325,plain,
( union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) ),
inference(resolve,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))),union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),
inference(resolve,[$cnf( $equal(union(intersection(union(X_252,difference(X_17,X_252)),C),union(X_17,X_252)),union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))) )],[refute_0_309,refute_0_325]) ).
cnf(refute_0_327,plain,
( union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,X_252)
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))))),bind(Y,$fot(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))))),bind(Z,$fot(union(X_17,X_252)))]]) ).
cnf(refute_0_328,plain,
( union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,X_252)
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252) ),
inference(resolve,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C)))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) = union(X_17,X_252),
inference(resolve,[$cnf( $equal(union(X_17,union(X_252,intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,X_252)) )],[refute_0_251,refute_0_328]) ).
cnf(refute_0_330,plain,
( union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,X_252)
| union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,difference(X_252,X_17))
| union(X_17,X_252) = union(X_17,difference(X_252,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,difference(X_252,X_17))) ),[0],$fot(union(X_17,X_252))]]) ).
cnf(refute_0_331,plain,
( union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,difference(X_252,X_17))
| union(X_17,X_252) = union(X_17,difference(X_252,X_17)) ),
inference(resolve,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,X_252)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
union(X_17,difference(X_252,X_17)) = union(X_252,X_17),
inference(subst,[],[refute_0_235:[bind(C,$fot(X_17))]]) ).
cnf(refute_0_333,plain,
( union(X_17,X_252) != union(X_17,difference(X_252,X_17))
| union(X_17,difference(X_252,X_17)) != union(X_252,X_17)
| union(X_17,X_252) = union(X_252,X_17) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(X_17,X_252),union(X_252,X_17)) ),[0],$fot(union(X_17,difference(X_252,X_17)))]]) ).
cnf(refute_0_334,plain,
( union(X_17,X_252) != union(X_17,difference(X_252,X_17))
| union(X_17,X_252) = union(X_252,X_17) ),
inference(resolve,[$cnf( $equal(union(X_17,difference(X_252,X_17)),union(X_252,X_17)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))) != union(X_17,difference(X_252,X_17))
| union(X_17,X_252) = union(X_252,X_17) ),
inference(resolve,[$cnf( $equal(union(X_17,X_252),union(X_17,difference(X_252,X_17))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
union(X_17,X_252) = union(X_252,X_17),
inference(resolve,[$cnf( $equal(union(X_17,union(difference(X_252,X_17),intersection(union(X_252,difference(X_17,X_252)),C))),union(X_17,difference(X_252,X_17))) )],[refute_0_115,refute_0_335]) ).
cnf(refute_0_337,plain,
( union(X_17,X_252) != union(X_252,X_17)
| union(X_252,X_17) = union(X_17,X_252) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(union(X_17,X_252))),bind(Y,$fot(union(X_252,X_17)))]]) ).
cnf(refute_0_338,plain,
union(X_252,X_17) = union(X_17,X_252),
inference(resolve,[$cnf( $equal(union(X_17,X_252),union(X_252,X_17)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
union(skolemFOFtoCNF_C,skolemFOFtoCNF_B) = union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_338:[bind(X_17,$fot(skolemFOFtoCNF_B)),bind(X_252,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_340,plain,
union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) = union(skolemFOFtoCNF_C,skolemFOFtoCNF_B),
inference(subst,[],[refute_0_235:[bind(C,$fot(skolemFOFtoCNF_B)),bind(X_252,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_341,plain,
( union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) != union(skolemFOFtoCNF_C,skolemFOFtoCNF_B)
| union(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) = union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_214:[bind(X,$fot(union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)))),bind(Y,$fot(union(skolemFOFtoCNF_C,skolemFOFtoCNF_B))),bind(Z,$fot(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_342,plain,
( union(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) = union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),union(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) = union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_C,skolemFOFtoCNF_B),union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_339,refute_0_342]) ).
cnf(refute_0_344,plain,
( union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))) ),[1],$fot(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_345,plain,
( union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B)),union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(skolemFOFtoCNF_B,difference(skolemFOFtoCNF_C,skolemFOFtoCNF_B))) )],[refute_0_345,refute_0_71]) ).
cnf(refute_0_347,plain,
union(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
introduced(tautology,[refl,[$fot(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_348,plain,
$false,
inference(resolve,[$cnf( $equal(union(skolemFOFtoCNF_B,skolemFOFtoCNF_C),union(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_347,refute_0_346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET619+3 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jul 10 20:51:43 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.16/1.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.16/1.36
% 1.16/1.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.23/1.40
%------------------------------------------------------------------------------