TSTP Solution File: SEU140+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n010.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 12:38:40 EDT 2022
% Result : Theorem 0.91s 1.09s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 141
% Syntax : Number of formulae : 739 ( 366 unt; 0 def)
% Number of atoms : 1321 (1092 equ)
% Maximal formula atoms : 20 ( 1 avg)
% Number of connectives : 1121 ( 539 ~; 524 |; 35 &)
% ( 19 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 1354 ( 43 sgn 145 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_xboole_0,axiom,
! [A,B] : set_union2(A,B) = set_union2(B,A) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
fof(d3_xboole_0,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ) ).
fof(d4_xboole_0,axiom,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ) ).
fof(d7_xboole_0,axiom,
! [A,B] :
( disjoint(A,B)
<=> set_intersection2(A,B) = empty_set ) ).
fof(idempotence_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,A) = A ).
fof(l32_xboole_1,lemma,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ) ).
fof(t17_xboole_1,lemma,
! [A,B] : subset(set_intersection2(A,B),A) ).
fof(t1_boole,axiom,
! [A] : set_union2(A,empty_set) = A ).
fof(t2_boole,axiom,
! [A] : set_intersection2(A,empty_set) = empty_set ).
fof(t36_xboole_1,lemma,
! [A,B] : subset(set_difference(A,B),A) ).
fof(t37_xboole_1,lemma,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ) ).
fof(t39_xboole_1,lemma,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
fof(t3_boole,axiom,
! [A] : set_difference(A,empty_set) = A ).
fof(t3_xboole_0,lemma,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ) ).
fof(t3_xboole_1,lemma,
! [A] :
( subset(A,empty_set)
=> A = empty_set ) ).
fof(t40_xboole_1,lemma,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
fof(t48_xboole_1,lemma,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
fof(t63_xboole_1,conjecture,
! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
inference(strip,[],[t63_xboole_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ! [A,B] :
( ~ disjoint(A,B)
| ! [C] :
( ~ in(C,A)
| ~ in(C,B) ) )
& ! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ) ),
inference(canonicalize,[],[t3_xboole_0]) ).
fof(normalize_0_1,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( ( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),A) )
& ( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),B) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] :
( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),A) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(canonicalize,[],[d3_xboole_0]) ).
fof(normalize_0_6,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,A) )
& ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,B) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D_1(A,B,C),A)
| in(skolemFOFtoCNF_D_1(A,B,C),C) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D_1(A,B,C),B)
| in(skolemFOFtoCNF_D_1(A,B,C),C) )
& ( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) )
& ( ~ in(skolemFOFtoCNF_D_1(A,B,C),A)
| ~ in(skolemFOFtoCNF_D_1(A,B,C),B)
| ~ in(skolemFOFtoCNF_D_1(A,B,C),C)
| C = set_intersection2(A,B) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,B) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[t39_xboole_1]) ).
fof(normalize_0_10,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[t48_xboole_1]) ).
fof(normalize_0_12,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[commutativity_k2_xboole_0]) ).
fof(normalize_0_14,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_16,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
? [A,B,C] :
( ~ disjoint(A,C)
& disjoint(B,C)
& subset(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_18,plain,
( ~ disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4)
& disjoint(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)
& subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B] :
( set_difference(A,B) != empty_set
<=> ~ subset(A,B) ),
inference(canonicalize,[],[t37_xboole_1]) ).
fof(normalize_0_21,plain,
! [A,B] :
( set_difference(A,B) != empty_set
<=> ~ subset(A,B) ),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A,B] :
( ( set_difference(A,B) != empty_set
| subset(A,B) )
& ( ~ subset(A,B)
| set_difference(A,B) = empty_set ) ),
inference(clausify,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [A,B] :
( ~ subset(A,B)
| set_difference(A,B) = empty_set ),
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [A] : set_union2(A,empty_set) = A,
inference(canonicalize,[],[t1_boole]) ).
fof(normalize_0_25,plain,
! [A] : set_union2(A,empty_set) = A,
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[t40_xboole_1]) ).
fof(normalize_0_27,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [A] : set_difference(A,empty_set) = A,
inference(canonicalize,[],[t3_boole]) ).
fof(normalize_0_29,plain,
! [A] : set_difference(A,empty_set) = A,
inference(specialize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[t2_boole]) ).
fof(normalize_0_31,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [A] : set_intersection2(A,A) = A,
inference(canonicalize,[],[idempotence_k3_xboole_0]) ).
fof(normalize_0_33,plain,
! [A] : set_intersection2(A,A) = A,
inference(specialize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(canonicalize,[],[t17_xboole_1]) ).
fof(normalize_0_35,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(specialize,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
! [A,B] : subset(set_difference(A,B),A),
inference(canonicalize,[],[t36_xboole_1]) ).
fof(normalize_0_37,plain,
! [A,B] : subset(set_difference(A,B),A),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [A,B] :
( set_intersection2(A,B) != empty_set
<=> ~ disjoint(A,B) ),
inference(canonicalize,[],[d7_xboole_0]) ).
fof(normalize_0_39,plain,
! [A,B] :
( set_intersection2(A,B) != empty_set
<=> ~ disjoint(A,B) ),
inference(specialize,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
! [A,B] :
( ( set_intersection2(A,B) != empty_set
| disjoint(A,B) )
& ( ~ disjoint(A,B)
| set_intersection2(A,B) = empty_set ) ),
inference(clausify,[],[normalize_0_39]) ).
fof(normalize_0_41,plain,
! [A,B] :
( set_intersection2(A,B) != empty_set
| disjoint(A,B) ),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
! [A] :
( ~ subset(A,empty_set)
| A = empty_set ),
inference(canonicalize,[],[t3_xboole_1]) ).
fof(normalize_0_43,plain,
! [A] :
( ~ subset(A,empty_set)
| A = empty_set ),
inference(specialize,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
! [A,B] :
( ~ disjoint(A,B)
| set_intersection2(A,B) = empty_set ),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_45,plain,
! [A,B] :
( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),B) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_46,plain,
! [A,B,C] :
( C != set_difference(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( ~ in(D,B)
& in(D,A) ) ) ),
inference(canonicalize,[],[d4_xboole_0]) ).
fof(normalize_0_47,plain,
! [A,B,C] :
( C != set_difference(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( ~ in(D,B)
& in(D,A) ) ) ),
inference(specialize,[],[normalize_0_46]) ).
fof(normalize_0_48,plain,
! [A,B,C,D] :
( ( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) )
& ( C != set_difference(A,B)
| ~ in(D,C)
| in(D,A) )
& ( ~ in(skolemFOFtoCNF_D_2(A,B,C),B)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D_2(A,B,C),C) )
& ( C = set_difference(A,B)
| in(skolemFOFtoCNF_D_2(A,B,C),A)
| in(skolemFOFtoCNF_D_2(A,B,C),C) )
& ( C != set_difference(A,B)
| ~ in(D,A)
| in(D,B)
| in(D,C) )
& ( ~ in(skolemFOFtoCNF_D_2(A,B,C),A)
| ~ in(skolemFOFtoCNF_D_2(A,B,C),C)
| C = set_difference(A,B)
| in(skolemFOFtoCNF_D_2(A,B,C),B) ) ),
inference(clausify,[],[normalize_0_47]) ).
fof(normalize_0_49,plain,
! [A,B,C,D] :
( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) ),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
disjoint(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_51,plain,
~ disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),
inference(conjunct,[],[normalize_0_18]) ).
cnf(refute_0_0,plain,
( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),A) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_1,plain,
( disjoint(skolemFOFtoCNF_A_2,B)
| in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B),skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_2,plain,
( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,B) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_3,plain,
( set_intersection2(A,B) != set_intersection2(A,B)
| ~ in(D,set_intersection2(A,B))
| in(D,B) ),
inference(subst,[],[refute_0_2:[bind(C,$fot(set_intersection2(A,B)))]]) ).
cnf(refute_0_4,plain,
set_intersection2(A,B) = set_intersection2(A,B),
introduced(tautology,[refl,[$fot(set_intersection2(A,B))]]) ).
cnf(refute_0_5,plain,
( ~ in(D,set_intersection2(A,B))
| in(D,B) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(A,B)) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ in(X_336,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| in(X_336,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(X_336))]]) ).
cnf(refute_0_7,plain,
set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
set_union2(set_difference(X_39,B),set_difference(X_39,set_difference(X_39,B))) = set_union2(set_difference(X_39,B),X_39),
inference(subst,[],[refute_0_7:[bind(A,$fot(set_difference(X_39,B))),bind(B,$fot(X_39))]]) ).
cnf(refute_0_9,plain,
set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
set_difference(X_39,set_difference(X_39,B)) = set_intersection2(X_39,B),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_39))]]) ).
cnf(refute_0_11,plain,
( set_difference(X_39,set_difference(X_39,B)) != set_intersection2(X_39,B)
| set_union2(set_difference(X_39,B),set_difference(X_39,set_difference(X_39,B))) != set_union2(set_difference(X_39,B),X_39)
| set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(set_difference(X_39,B),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_39,B),set_difference(X_39,set_difference(X_39,B))),set_union2(set_difference(X_39,B),X_39)) ),[0,1],$fot(set_intersection2(X_39,B))]]) ).
cnf(refute_0_12,plain,
( set_union2(set_difference(X_39,B),set_difference(X_39,set_difference(X_39,B))) != set_union2(set_difference(X_39,B),X_39)
| set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(set_difference(X_39,B),X_39) ),
inference(resolve,[$cnf( $equal(set_difference(X_39,set_difference(X_39,B)),set_intersection2(X_39,B)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(set_difference(X_39,B),X_39),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_39,B),set_difference(X_39,set_difference(X_39,B))),set_union2(set_difference(X_39,B),X_39)) )],[refute_0_8,refute_0_12]) ).
cnf(refute_0_14,plain,
set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_15,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_16,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( set_union2(A,B) != set_union2(B,A)
| set_union2(B,A) = set_union2(A,B) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(A,B))),bind(Y,$fot(set_union2(B,A)))]]) ).
cnf(refute_0_19,plain,
set_union2(B,A) = set_union2(A,B),
inference(resolve,[$cnf( $equal(set_union2(A,B),set_union2(B,A)) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
set_union2(set_difference(X_39,B),X_39) = set_union2(X_39,set_difference(X_39,B)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_39)),bind(B,$fot(set_difference(X_39,B)))]]) ).
cnf(refute_0_21,plain,
( set_union2(set_difference(X_39,B),X_39) != set_union2(X_39,set_difference(X_39,B))
| set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) != set_union2(set_difference(X_39,B),X_39)
| set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(X_39,set_difference(X_39,B)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_39,B),set_intersection2(X_39,B)),set_union2(set_difference(X_39,B),X_39)) ),[1],$fot(set_union2(X_39,set_difference(X_39,B)))]]) ).
cnf(refute_0_22,plain,
( set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) != set_union2(set_difference(X_39,B),X_39)
| set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(X_39,set_difference(X_39,B)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_39,B),X_39),set_union2(X_39,set_difference(X_39,B))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
set_union2(set_difference(X_39,B),set_intersection2(X_39,B)) = set_union2(X_39,set_difference(X_39,B)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_39,B),set_intersection2(X_39,B)),set_union2(set_difference(X_39,B),X_39)) )],[refute_0_13,refute_0_22]) ).
cnf(refute_0_24,plain,
set_union2(set_difference(X_125,X_124),set_intersection2(X_125,X_124)) = set_union2(X_125,set_difference(X_125,X_124)),
inference(subst,[],[refute_0_23:[bind(B,$fot(X_124)),bind(X_39,$fot(X_125))]]) ).
cnf(refute_0_25,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_26,plain,
set_intersection2(X_124,X_125) = set_intersection2(X_125,X_124),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_124)),bind(B,$fot(X_125))]]) ).
cnf(refute_0_27,plain,
( set_intersection2(X_124,X_125) != set_intersection2(X_125,X_124)
| set_intersection2(X_125,X_124) = set_intersection2(X_124,X_125) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_124,X_125))),bind(Y,$fot(set_intersection2(X_125,X_124)))]]) ).
cnf(refute_0_28,plain,
set_intersection2(X_125,X_124) = set_intersection2(X_124,X_125),
inference(resolve,[$cnf( $equal(set_intersection2(X_124,X_125),set_intersection2(X_125,X_124)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
( set_intersection2(X_125,X_124) != set_intersection2(X_124,X_125)
| set_union2(set_difference(X_125,X_124),set_intersection2(X_125,X_124)) != set_union2(X_125,set_difference(X_125,X_124))
| set_union2(set_difference(X_125,X_124),set_intersection2(X_124,X_125)) = set_union2(X_125,set_difference(X_125,X_124)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_125,X_124),set_intersection2(X_125,X_124)),set_union2(X_125,set_difference(X_125,X_124))) ),[0,1],$fot(set_intersection2(X_124,X_125))]]) ).
cnf(refute_0_30,plain,
( set_union2(set_difference(X_125,X_124),set_intersection2(X_125,X_124)) != set_union2(X_125,set_difference(X_125,X_124))
| set_union2(set_difference(X_125,X_124),set_intersection2(X_124,X_125)) = set_union2(X_125,set_difference(X_125,X_124)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_125,X_124),set_intersection2(X_124,X_125)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
set_union2(set_difference(X_125,X_124),set_intersection2(X_124,X_125)) = set_union2(X_125,set_difference(X_125,X_124)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,X_124),set_intersection2(X_125,X_124)),set_union2(X_125,set_difference(X_125,X_124))) )],[refute_0_24,refute_0_30]) ).
cnf(refute_0_32,plain,
set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_31:[bind(X_124,$fot(skolemFOFtoCNF_B_1)),bind(X_125,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_33,plain,
subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_34,plain,
( ~ subset(A,B)
| set_difference(A,B) = empty_set ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_35,plain,
( ~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = empty_set ),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_36,plain,
set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = empty_set,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
( set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != empty_set
| set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) ),[0,0],$fot(empty_set)]]) ).
cnf(refute_0_38,plain,
( set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) )],[refute_0_32,refute_0_38]) ).
cnf(refute_0_40,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_24,X_39))) = set_union2(set_intersection2(X_24,X_39),X_39),
inference(subst,[],[refute_0_7:[bind(A,$fot(set_intersection2(X_24,X_39))),bind(B,$fot(X_39))]]) ).
cnf(refute_0_41,plain,
set_difference(A,set_difference(A,set_difference(A,X_24))) = set_intersection2(A,set_difference(A,X_24)),
inference(subst,[],[refute_0_9:[bind(B,$fot(set_difference(A,X_24)))]]) ).
cnf(refute_0_42,plain,
set_difference(A,set_difference(A,X_24)) = set_intersection2(A,X_24),
inference(subst,[],[refute_0_9:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_43,plain,
( set_difference(A,set_difference(A,X_24)) != set_intersection2(A,X_24)
| set_difference(A,set_difference(A,set_difference(A,X_24))) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,set_intersection2(A,X_24)) = set_intersection2(A,set_difference(A,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_difference(A,X_24))),set_intersection2(A,set_difference(A,X_24))) ),[0,1],$fot(set_intersection2(A,X_24))]]) ).
cnf(refute_0_44,plain,
( set_difference(A,set_difference(A,set_difference(A,X_24))) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,set_intersection2(A,X_24)) = set_intersection2(A,set_difference(A,X_24)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,X_24)),set_intersection2(A,X_24)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
set_difference(A,set_intersection2(A,X_24)) = set_intersection2(A,set_difference(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_difference(A,X_24))),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
set_intersection2(A,X_24) = set_intersection2(X_24,A),
inference(subst,[],[refute_0_25:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_47,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_intersection2(A,X_24) != set_intersection2(X_24,A)
| set_difference(A,set_intersection2(X_24,A)) = set_intersection2(A,set_difference(A,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) ),[0,1],$fot(set_intersection2(X_24,A))]]) ).
cnf(refute_0_48,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,set_intersection2(X_24,A)) = set_intersection2(A,set_difference(A,X_24)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,X_24),set_intersection2(X_24,A)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
set_difference(A,set_intersection2(X_24,A)) = set_intersection2(A,set_difference(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_intersection2(A,set_difference(A,X_24)) = set_difference(A,set_intersection2(A,X_24)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(A,set_intersection2(A,X_24)))),bind(Y,$fot(set_intersection2(A,set_difference(A,X_24))))]]) ).
cnf(refute_0_51,plain,
set_intersection2(A,set_difference(A,X_24)) = set_difference(A,set_intersection2(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
( set_difference(A,set_intersection2(X_24,A)) != set_intersection2(A,set_difference(A,X_24))
| set_intersection2(A,set_difference(A,X_24)) != set_difference(A,set_intersection2(A,X_24))
| set_difference(A,set_intersection2(X_24,A)) = set_difference(A,set_intersection2(A,X_24)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(A,set_intersection2(X_24,A)),set_difference(A,set_intersection2(A,X_24))) ),[0],$fot(set_intersection2(A,set_difference(A,X_24)))]]) ).
cnf(refute_0_53,plain,
( set_difference(A,set_intersection2(X_24,A)) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,set_intersection2(X_24,A)) = set_difference(A,set_intersection2(A,X_24)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,set_difference(A,X_24)),set_difference(A,set_intersection2(A,X_24))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
set_difference(A,set_intersection2(X_24,A)) = set_difference(A,set_intersection2(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(X_24,A)),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
set_difference(X_39,set_intersection2(X_24,X_39)) = set_difference(X_39,set_intersection2(X_39,X_24)),
inference(subst,[],[refute_0_54:[bind(A,$fot(X_39))]]) ).
cnf(refute_0_56,plain,
( set_difference(X_39,set_intersection2(X_24,X_39)) != set_difference(X_39,set_intersection2(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_24,X_39))) != set_union2(set_intersection2(X_24,X_39),X_39)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_24,X_39))),set_union2(set_intersection2(X_24,X_39),X_39)) ),[0,1],$fot(set_difference(X_39,set_intersection2(X_39,X_24)))]]) ).
cnf(refute_0_57,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_24,X_39))) != set_union2(set_intersection2(X_24,X_39),X_39)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),X_39) ),
inference(resolve,[$cnf( $equal(set_difference(X_39,set_intersection2(X_24,X_39)),set_difference(X_39,set_intersection2(X_39,X_24))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),X_39),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_24,X_39))),set_union2(set_intersection2(X_24,X_39),X_39)) )],[refute_0_40,refute_0_57]) ).
cnf(refute_0_59,plain,
set_union2(set_intersection2(X_24,X_39),X_39) = set_union2(X_39,set_intersection2(X_24,X_39)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_39)),bind(B,$fot(set_intersection2(X_24,X_39)))]]) ).
cnf(refute_0_60,plain,
( set_union2(set_intersection2(X_24,X_39),X_39) != set_union2(X_39,set_intersection2(X_24,X_39))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(set_intersection2(X_24,X_39),X_39)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_intersection2(X_24,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(set_intersection2(X_24,X_39),X_39)) ),[1],$fot(set_union2(X_39,set_intersection2(X_24,X_39)))]]) ).
cnf(refute_0_61,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(set_intersection2(X_24,X_39),X_39)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_intersection2(X_24,X_39)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),X_39),set_union2(X_39,set_intersection2(X_24,X_39))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_intersection2(X_24,X_39)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(set_intersection2(X_24,X_39),X_39)) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))),
inference(subst,[],[refute_0_62:[bind(X_24,$fot(X_158)),bind(X_39,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_64,plain,
set_difference(A,set_difference(A,set_intersection2(X_34,A))) = set_intersection2(A,set_intersection2(X_34,A)),
inference(subst,[],[refute_0_9:[bind(B,$fot(set_intersection2(X_34,A)))]]) ).
cnf(refute_0_65,plain,
set_difference(A,set_intersection2(X_34,A)) = set_difference(A,set_intersection2(A,X_34)),
inference(subst,[],[refute_0_54:[bind(X_24,$fot(X_34))]]) ).
cnf(refute_0_66,plain,
( set_difference(A,set_difference(A,set_intersection2(X_34,A))) != set_intersection2(A,set_intersection2(X_34,A))
| set_difference(A,set_intersection2(X_34,A)) != set_difference(A,set_intersection2(A,X_34))
| set_difference(A,set_difference(A,set_intersection2(A,X_34))) = set_intersection2(A,set_intersection2(X_34,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(X_34,A))),set_intersection2(A,set_intersection2(X_34,A))) ),[0,1],$fot(set_difference(A,set_intersection2(A,X_34)))]]) ).
cnf(refute_0_67,plain,
( set_difference(A,set_difference(A,set_intersection2(X_34,A))) != set_intersection2(A,set_intersection2(X_34,A))
| set_difference(A,set_difference(A,set_intersection2(A,X_34))) = set_intersection2(A,set_intersection2(X_34,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(X_34,A)),set_difference(A,set_intersection2(A,X_34))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
set_difference(A,set_difference(A,set_intersection2(A,X_34))) = set_intersection2(A,set_intersection2(X_34,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(X_34,A))),set_intersection2(A,set_intersection2(X_34,A))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
set_difference(A,set_difference(A,set_intersection2(A,X_34))) = set_intersection2(A,set_intersection2(A,X_34)),
inference(subst,[],[refute_0_9:[bind(B,$fot(set_intersection2(A,X_34)))]]) ).
cnf(refute_0_70,plain,
( set_difference(A,set_difference(A,set_intersection2(A,X_34))) != set_intersection2(A,set_intersection2(A,X_34))
| set_difference(A,set_difference(A,set_intersection2(A,X_34))) != set_intersection2(A,set_intersection2(X_34,A))
| set_intersection2(A,set_intersection2(A,X_34)) = set_intersection2(A,set_intersection2(X_34,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_34))),set_intersection2(A,set_intersection2(X_34,A))) ),[0],$fot(set_intersection2(A,set_intersection2(A,X_34)))]]) ).
cnf(refute_0_71,plain,
( set_difference(A,set_difference(A,set_intersection2(A,X_34))) != set_intersection2(A,set_intersection2(X_34,A))
| set_intersection2(A,set_intersection2(A,X_34)) = set_intersection2(A,set_intersection2(X_34,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_34))),set_intersection2(A,set_intersection2(A,X_34))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
set_intersection2(A,set_intersection2(A,X_34)) = set_intersection2(A,set_intersection2(X_34,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_34))),set_intersection2(A,set_intersection2(X_34,A))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
set_intersection2(X_158,set_intersection2(X_158,X_34)) = set_intersection2(X_158,set_intersection2(X_34,X_158)),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_158))]]) ).
cnf(refute_0_74,plain,
( set_intersection2(X_158,set_intersection2(X_158,X_34)) != set_intersection2(X_158,set_intersection2(X_34,X_158))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))) ),[1,1],$fot(set_intersection2(X_158,set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_75,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_intersection2(X_158,set_intersection2(X_34,X_158))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))) )],[refute_0_63,refute_0_75]) ).
cnf(refute_0_77,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),[0],$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))))]]) ).
cnf(refute_0_78,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34)))) )],[refute_0_63,refute_0_77]) ).
cnf(refute_0_79,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_158,X_34),set_intersection2(set_intersection2(X_158,X_34),X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_76,refute_0_78]) ).
cnf(refute_0_80,plain,
set_union2(A,empty_set) = A,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_81,plain,
set_union2(A,empty_set) = set_union2(empty_set,A),
inference(subst,[],[refute_0_14:[bind(B,$fot(empty_set))]]) ).
cnf(refute_0_82,plain,
( set_union2(A,empty_set) != A
| set_union2(A,empty_set) != set_union2(empty_set,A)
| set_union2(empty_set,A) = A ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(A,empty_set),A) ),[0],$fot(set_union2(empty_set,A))]]) ).
cnf(refute_0_83,plain,
( set_union2(A,empty_set) != A
| set_union2(empty_set,A) = A ),
inference(resolve,[$cnf( $equal(set_union2(A,empty_set),set_union2(empty_set,A)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
set_union2(empty_set,A) = A,
inference(resolve,[$cnf( $equal(set_union2(A,empty_set),A) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
set_union2(empty_set,set_intersection2(X_158,X_34)) = set_intersection2(X_158,X_34),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_86,plain,
set_difference(set_union2(X_40,B),set_difference(set_union2(X_40,B),B)) = set_intersection2(set_union2(X_40,B),B),
inference(subst,[],[refute_0_9:[bind(A,$fot(set_union2(X_40,B)))]]) ).
cnf(refute_0_87,plain,
set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_88,plain,
set_difference(set_union2(X_40,B),B) = set_difference(X_40,B),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_89,plain,
( set_difference(set_union2(X_40,B),B) != set_difference(X_40,B)
| set_difference(set_union2(X_40,B),set_difference(set_union2(X_40,B),B)) != set_intersection2(set_union2(X_40,B),B)
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(set_union2(X_40,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(set_union2(X_40,B),B)),set_intersection2(set_union2(X_40,B),B)) ),[0,1],$fot(set_difference(X_40,B))]]) ).
cnf(refute_0_90,plain,
( set_difference(set_union2(X_40,B),set_difference(set_union2(X_40,B),B)) != set_intersection2(set_union2(X_40,B),B)
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(set_union2(X_40,B),B) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,B),B),set_difference(X_40,B)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(set_union2(X_40,B),B),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(set_union2(X_40,B),B)),set_intersection2(set_union2(X_40,B),B)) )],[refute_0_86,refute_0_90]) ).
cnf(refute_0_92,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| set_intersection2(B,A) = set_intersection2(A,B) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(A,B))),bind(Y,$fot(set_intersection2(B,A)))]]) ).
cnf(refute_0_93,plain,
set_intersection2(B,A) = set_intersection2(A,B),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_25,refute_0_92]) ).
cnf(refute_0_94,plain,
set_intersection2(set_union2(X_40,B),B) = set_intersection2(B,set_union2(X_40,B)),
inference(subst,[],[refute_0_93:[bind(A,$fot(B)),bind(B,$fot(set_union2(X_40,B)))]]) ).
cnf(refute_0_95,plain,
( set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_intersection2(set_union2(X_40,B),B)
| set_intersection2(set_union2(X_40,B),B) != set_intersection2(B,set_union2(X_40,B))
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(B,set_union2(X_40,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_intersection2(B,set_union2(X_40,B))) ),[0],$fot(set_intersection2(set_union2(X_40,B),B))]]) ).
cnf(refute_0_96,plain,
( set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_intersection2(set_union2(X_40,B),B)
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(B,set_union2(X_40,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(X_40,B),B),set_intersection2(B,set_union2(X_40,B))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_intersection2(B,set_union2(X_40,B)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_intersection2(set_union2(X_40,B),B)) )],[refute_0_91,refute_0_96]) ).
cnf(refute_0_98,plain,
set_difference(set_union2(B,X_42),set_difference(set_union2(B,X_42),B)) = set_intersection2(set_union2(B,X_42),B),
inference(subst,[],[refute_0_9:[bind(A,$fot(set_union2(B,X_42)))]]) ).
cnf(refute_0_99,plain,
set_difference(set_union2(X_40,X_41),X_41) = set_difference(X_40,X_41),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_40)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_100,plain,
set_union2(X_41,X_40) = set_union2(X_40,X_41),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_41)),bind(B,$fot(X_40))]]) ).
cnf(refute_0_101,plain,
( set_union2(X_41,X_40) != set_union2(X_40,X_41)
| set_union2(X_40,X_41) = set_union2(X_41,X_40) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_41,X_40))),bind(Y,$fot(set_union2(X_40,X_41)))]]) ).
cnf(refute_0_102,plain,
set_union2(X_40,X_41) = set_union2(X_41,X_40),
inference(resolve,[$cnf( $equal(set_union2(X_41,X_40),set_union2(X_40,X_41)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( set_difference(set_union2(X_40,X_41),X_41) != set_difference(X_40,X_41)
| set_union2(X_40,X_41) != set_union2(X_41,X_40)
| set_difference(set_union2(X_41,X_40),X_41) = set_difference(X_40,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_40,X_41),X_41),set_difference(X_40,X_41)) ),[0,0],$fot(set_union2(X_41,X_40))]]) ).
cnf(refute_0_104,plain,
( set_difference(set_union2(X_40,X_41),X_41) != set_difference(X_40,X_41)
| set_difference(set_union2(X_41,X_40),X_41) = set_difference(X_40,X_41) ),
inference(resolve,[$cnf( $equal(set_union2(X_40,X_41),set_union2(X_41,X_40)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
set_difference(set_union2(X_41,X_40),X_41) = set_difference(X_40,X_41),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,X_41),X_41),set_difference(X_40,X_41)) )],[refute_0_99,refute_0_104]) ).
cnf(refute_0_106,plain,
set_difference(set_union2(B,X_42),B) = set_difference(X_42,B),
inference(subst,[],[refute_0_105:[bind(X_40,$fot(X_42)),bind(X_41,$fot(B))]]) ).
cnf(refute_0_107,plain,
( set_difference(set_union2(B,X_42),B) != set_difference(X_42,B)
| set_difference(set_union2(B,X_42),set_difference(set_union2(B,X_42),B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(set_union2(B,X_42),set_difference(X_42,B)) = set_intersection2(set_union2(B,X_42),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(B,X_42),set_difference(set_union2(B,X_42),B)),set_intersection2(set_union2(B,X_42),B)) ),[0,1],$fot(set_difference(X_42,B))]]) ).
cnf(refute_0_108,plain,
( set_difference(set_union2(B,X_42),set_difference(set_union2(B,X_42),B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(set_union2(B,X_42),set_difference(X_42,B)) = set_intersection2(set_union2(B,X_42),B) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_42),B),set_difference(X_42,B)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
set_difference(set_union2(B,X_42),set_difference(X_42,B)) = set_intersection2(set_union2(B,X_42),B),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_42),set_difference(set_union2(B,X_42),B)),set_intersection2(set_union2(B,X_42),B)) )],[refute_0_98,refute_0_108]) ).
cnf(refute_0_110,plain,
set_difference(set_union2(X_40,set_difference(B,X_40)),set_difference(B,X_40)) = set_difference(X_40,set_difference(B,X_40)),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_40)),bind(B,$fot(set_difference(B,X_40)))]]) ).
cnf(refute_0_111,plain,
set_union2(X_40,set_difference(B,X_40)) = set_union2(X_40,B),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_112,plain,
( set_difference(set_union2(X_40,set_difference(B,X_40)),set_difference(B,X_40)) != set_difference(X_40,set_difference(B,X_40))
| set_union2(X_40,set_difference(B,X_40)) != set_union2(X_40,B)
| set_difference(set_union2(X_40,B),set_difference(B,X_40)) = set_difference(X_40,set_difference(B,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_40,set_difference(B,X_40)),set_difference(B,X_40)),set_difference(X_40,set_difference(B,X_40))) ),[0,0],$fot(set_union2(X_40,B))]]) ).
cnf(refute_0_113,plain,
( set_difference(set_union2(X_40,set_difference(B,X_40)),set_difference(B,X_40)) != set_difference(X_40,set_difference(B,X_40))
| set_difference(set_union2(X_40,B),set_difference(B,X_40)) = set_difference(X_40,set_difference(B,X_40)) ),
inference(resolve,[$cnf( $equal(set_union2(X_40,set_difference(B,X_40)),set_union2(X_40,B)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
set_difference(set_union2(X_40,B),set_difference(B,X_40)) = set_difference(X_40,set_difference(B,X_40)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,set_difference(B,X_40)),set_difference(B,X_40)),set_difference(X_40,set_difference(B,X_40))) )],[refute_0_110,refute_0_113]) ).
cnf(refute_0_115,plain,
set_difference(set_union2(B,X_42),set_difference(X_42,B)) = set_difference(B,set_difference(X_42,B)),
inference(subst,[],[refute_0_114:[bind(B,$fot(X_42)),bind(X_40,$fot(B))]]) ).
cnf(refute_0_116,plain,
( set_difference(set_union2(B,X_42),set_difference(X_42,B)) != set_difference(B,set_difference(X_42,B))
| set_difference(set_union2(B,X_42),set_difference(X_42,B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(B,set_difference(X_42,B)) = set_intersection2(set_union2(B,X_42),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(B,X_42),set_difference(X_42,B)),set_intersection2(set_union2(B,X_42),B)) ),[0],$fot(set_difference(B,set_difference(X_42,B)))]]) ).
cnf(refute_0_117,plain,
( set_difference(set_union2(B,X_42),set_difference(X_42,B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(B,set_difference(X_42,B)) = set_intersection2(set_union2(B,X_42),B) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_42),set_difference(X_42,B)),set_difference(B,set_difference(X_42,B))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
set_intersection2(set_union2(B,X_42),B) = set_intersection2(B,set_union2(B,X_42)),
inference(subst,[],[refute_0_93:[bind(A,$fot(B)),bind(B,$fot(set_union2(B,X_42)))]]) ).
cnf(refute_0_119,plain,
( set_difference(B,set_difference(X_42,B)) != set_intersection2(set_union2(B,X_42),B)
| set_intersection2(set_union2(B,X_42),B) != set_intersection2(B,set_union2(B,X_42))
| set_difference(B,set_difference(X_42,B)) = set_intersection2(B,set_union2(B,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(B,set_difference(X_42,B)),set_intersection2(B,set_union2(B,X_42))) ),[0],$fot(set_intersection2(set_union2(B,X_42),B))]]) ).
cnf(refute_0_120,plain,
( set_difference(B,set_difference(X_42,B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(B,set_difference(X_42,B)) = set_intersection2(B,set_union2(B,X_42)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(B,X_42),B),set_intersection2(B,set_union2(B,X_42))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
( set_difference(set_union2(B,X_42),set_difference(X_42,B)) != set_intersection2(set_union2(B,X_42),B)
| set_difference(B,set_difference(X_42,B)) = set_intersection2(B,set_union2(B,X_42)) ),
inference(resolve,[$cnf( $equal(set_difference(B,set_difference(X_42,B)),set_intersection2(set_union2(B,X_42),B)) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
set_difference(B,set_difference(X_42,B)) = set_intersection2(B,set_union2(B,X_42)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_42),set_difference(X_42,B)),set_intersection2(set_union2(B,X_42),B)) )],[refute_0_109,refute_0_121]) ).
cnf(refute_0_123,plain,
set_difference(X_49,set_difference(X_50,X_49)) = set_intersection2(X_49,set_union2(X_49,X_50)),
inference(subst,[],[refute_0_122:[bind(B,$fot(X_49)),bind(X_42,$fot(X_50))]]) ).
cnf(refute_0_124,plain,
set_union2(X_50,X_49) = set_union2(X_49,X_50),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_50)),bind(B,$fot(X_49))]]) ).
cnf(refute_0_125,plain,
( set_union2(X_50,X_49) != set_union2(X_49,X_50)
| set_union2(X_49,X_50) = set_union2(X_50,X_49) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_50,X_49))),bind(Y,$fot(set_union2(X_49,X_50)))]]) ).
cnf(refute_0_126,plain,
set_union2(X_49,X_50) = set_union2(X_50,X_49),
inference(resolve,[$cnf( $equal(set_union2(X_50,X_49),set_union2(X_49,X_50)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( set_difference(X_49,set_difference(X_50,X_49)) != set_intersection2(X_49,set_union2(X_49,X_50))
| set_union2(X_49,X_50) != set_union2(X_50,X_49)
| set_difference(X_49,set_difference(X_50,X_49)) = set_intersection2(X_49,set_union2(X_50,X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_49,set_difference(X_50,X_49)),set_intersection2(X_49,set_union2(X_49,X_50))) ),[1,1],$fot(set_union2(X_50,X_49))]]) ).
cnf(refute_0_128,plain,
( set_difference(X_49,set_difference(X_50,X_49)) != set_intersection2(X_49,set_union2(X_49,X_50))
| set_difference(X_49,set_difference(X_50,X_49)) = set_intersection2(X_49,set_union2(X_50,X_49)) ),
inference(resolve,[$cnf( $equal(set_union2(X_49,X_50),set_union2(X_50,X_49)) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
set_difference(X_49,set_difference(X_50,X_49)) = set_intersection2(X_49,set_union2(X_50,X_49)),
inference(resolve,[$cnf( $equal(set_difference(X_49,set_difference(X_50,X_49)),set_intersection2(X_49,set_union2(X_49,X_50))) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
( set_difference(X_49,set_difference(X_50,X_49)) != set_intersection2(X_49,set_union2(X_50,X_49))
| set_intersection2(X_49,set_union2(X_50,X_49)) = set_difference(X_49,set_difference(X_50,X_49)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(X_49,set_difference(X_50,X_49)))),bind(Y,$fot(set_intersection2(X_49,set_union2(X_50,X_49))))]]) ).
cnf(refute_0_131,plain,
set_intersection2(X_49,set_union2(X_50,X_49)) = set_difference(X_49,set_difference(X_50,X_49)),
inference(resolve,[$cnf( $equal(set_difference(X_49,set_difference(X_50,X_49)),set_intersection2(X_49,set_union2(X_50,X_49))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
set_intersection2(B,set_union2(X_40,B)) = set_difference(B,set_difference(X_40,B)),
inference(subst,[],[refute_0_131:[bind(X_49,$fot(B)),bind(X_50,$fot(X_40))]]) ).
cnf(refute_0_133,plain,
( set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_intersection2(B,set_union2(X_40,B))
| set_intersection2(B,set_union2(X_40,B)) != set_difference(B,set_difference(X_40,B))
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_difference(B,set_difference(X_40,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_difference(B,set_difference(X_40,B))) ),[0],$fot(set_intersection2(B,set_union2(X_40,B)))]]) ).
cnf(refute_0_134,plain,
( set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_intersection2(B,set_union2(X_40,B))
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_difference(B,set_difference(X_40,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(B,set_union2(X_40,B)),set_difference(B,set_difference(X_40,B))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
set_difference(set_union2(X_40,B),set_difference(X_40,B)) = set_difference(B,set_difference(X_40,B)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_intersection2(B,set_union2(X_40,B))) )],[refute_0_97,refute_0_134]) ).
cnf(refute_0_136,plain,
set_difference(set_union2(X_141,set_union2(X_40,X_141)),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))),
inference(subst,[],[refute_0_135:[bind(B,$fot(set_union2(X_40,X_141))),bind(X_40,$fot(X_141))]]) ).
cnf(refute_0_137,plain,
set_union2(A,set_difference(set_union2(X_40,A),A)) = set_union2(A,set_union2(X_40,A)),
inference(subst,[],[refute_0_7:[bind(B,$fot(set_union2(X_40,A)))]]) ).
cnf(refute_0_138,plain,
set_difference(set_union2(X_40,A),A) = set_difference(X_40,A),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_40)),bind(B,$fot(A))]]) ).
cnf(refute_0_139,plain,
( set_difference(set_union2(X_40,A),A) != set_difference(X_40,A)
| set_union2(A,set_difference(set_union2(X_40,A),A)) != set_union2(A,set_union2(X_40,A))
| set_union2(A,set_difference(X_40,A)) = set_union2(A,set_union2(X_40,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(A,set_difference(set_union2(X_40,A),A)),set_union2(A,set_union2(X_40,A))) ),[0,1],$fot(set_difference(X_40,A))]]) ).
cnf(refute_0_140,plain,
( set_union2(A,set_difference(set_union2(X_40,A),A)) != set_union2(A,set_union2(X_40,A))
| set_union2(A,set_difference(X_40,A)) = set_union2(A,set_union2(X_40,A)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,A),A),set_difference(X_40,A)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
set_union2(A,set_difference(X_40,A)) = set_union2(A,set_union2(X_40,A)),
inference(resolve,[$cnf( $equal(set_union2(A,set_difference(set_union2(X_40,A),A)),set_union2(A,set_union2(X_40,A))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
set_union2(A,set_difference(X_40,A)) = set_union2(A,X_40),
inference(subst,[],[refute_0_7:[bind(B,$fot(X_40))]]) ).
cnf(refute_0_143,plain,
( set_union2(A,set_difference(X_40,A)) != set_union2(A,X_40)
| set_union2(A,set_difference(X_40,A)) != set_union2(A,set_union2(X_40,A))
| set_union2(A,X_40) = set_union2(A,set_union2(X_40,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(A,set_difference(X_40,A)),set_union2(A,set_union2(X_40,A))) ),[0],$fot(set_union2(A,X_40))]]) ).
cnf(refute_0_144,plain,
( set_union2(A,set_difference(X_40,A)) != set_union2(A,set_union2(X_40,A))
| set_union2(A,X_40) = set_union2(A,set_union2(X_40,A)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_difference(X_40,A)),set_union2(A,X_40)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
set_union2(A,X_40) = set_union2(A,set_union2(X_40,A)),
inference(resolve,[$cnf( $equal(set_union2(A,set_difference(X_40,A)),set_union2(A,set_union2(X_40,A))) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
set_union2(X_141,X_40) = set_union2(X_141,set_union2(X_40,X_141)),
inference(subst,[],[refute_0_145:[bind(A,$fot(X_141))]]) ).
cnf(refute_0_147,plain,
( set_union2(X_141,X_40) != set_union2(X_141,set_union2(X_40,X_141))
| set_union2(X_141,set_union2(X_40,X_141)) = set_union2(X_141,X_40) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_141,X_40))),bind(Y,$fot(set_union2(X_141,set_union2(X_40,X_141))))]]) ).
cnf(refute_0_148,plain,
set_union2(X_141,set_union2(X_40,X_141)) = set_union2(X_141,X_40),
inference(resolve,[$cnf( $equal(set_union2(X_141,X_40),set_union2(X_141,set_union2(X_40,X_141))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( set_difference(set_union2(X_141,set_union2(X_40,X_141)),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))
| set_union2(X_141,set_union2(X_40,X_141)) != set_union2(X_141,X_40)
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_141,set_union2(X_40,X_141)),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))) ),[0,0],$fot(set_union2(X_141,X_40))]]) ).
cnf(refute_0_150,plain,
( set_difference(set_union2(X_141,set_union2(X_40,X_141)),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))) ),
inference(resolve,[$cnf( $equal(set_union2(X_141,set_union2(X_40,X_141)),set_union2(X_141,X_40)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,set_union2(X_40,X_141)),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))) )],[refute_0_136,refute_0_150]) ).
cnf(refute_0_152,plain,
set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) = set_intersection2(set_union2(X_111,X_50),set_union2(X_50,set_union2(X_111,X_50))),
inference(subst,[],[refute_0_129:[bind(X_49,$fot(set_union2(X_111,X_50)))]]) ).
cnf(refute_0_153,plain,
set_union2(X_50,X_111) = set_union2(X_50,set_union2(X_111,X_50)),
inference(subst,[],[refute_0_145:[bind(A,$fot(X_50)),bind(X_40,$fot(X_111))]]) ).
cnf(refute_0_154,plain,
( set_union2(X_50,X_111) != set_union2(X_50,set_union2(X_111,X_50))
| set_union2(X_50,set_union2(X_111,X_50)) = set_union2(X_50,X_111) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_50,X_111))),bind(Y,$fot(set_union2(X_50,set_union2(X_111,X_50))))]]) ).
cnf(refute_0_155,plain,
set_union2(X_50,set_union2(X_111,X_50)) = set_union2(X_50,X_111),
inference(resolve,[$cnf( $equal(set_union2(X_50,X_111),set_union2(X_50,set_union2(X_111,X_50))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) != set_intersection2(set_union2(X_111,X_50),set_union2(X_50,set_union2(X_111,X_50)))
| set_union2(X_50,set_union2(X_111,X_50)) != set_union2(X_50,X_111)
| set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) = set_intersection2(set_union2(X_111,X_50),set_union2(X_50,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))),set_intersection2(set_union2(X_111,X_50),set_union2(X_50,set_union2(X_111,X_50)))) ),[1,1],$fot(set_union2(X_50,X_111))]]) ).
cnf(refute_0_157,plain,
( set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) != set_intersection2(set_union2(X_111,X_50),set_union2(X_50,set_union2(X_111,X_50)))
| set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) = set_intersection2(set_union2(X_111,X_50),set_union2(X_50,X_111)) ),
inference(resolve,[$cnf( $equal(set_union2(X_50,set_union2(X_111,X_50)),set_union2(X_50,X_111)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))) = set_intersection2(set_union2(X_111,X_50),set_union2(X_50,X_111)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_111,X_50),set_difference(X_50,set_union2(X_111,X_50))),set_intersection2(set_union2(X_111,X_50),set_union2(X_50,set_union2(X_111,X_50)))) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)),
inference(subst,[],[refute_0_158:[bind(X_111,$fot(X_40)),bind(X_50,$fot(X_141))]]) ).
cnf(refute_0_160,plain,
( set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))
| set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) ),[0],$fot(set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))))]]) ).
cnf(refute_0_161,plain,
( set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141))),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_40,X_141),set_difference(X_141,set_union2(X_40,X_141)))) )],[refute_0_151,refute_0_161]) ).
cnf(refute_0_163,plain,
set_difference(A,empty_set) = A,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_164,plain,
set_difference(set_union2(X_141,X_40),empty_set) = set_union2(X_141,X_40),
inference(subst,[],[refute_0_163:[bind(A,$fot(set_union2(X_141,X_40)))]]) ).
cnf(refute_0_165,plain,
set_difference(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)) = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)),
inference(subst,[],[refute_0_87:[bind(A,$fot(set_union2(X_166,X_167))),bind(B,$fot(set_union2(X_167,X_166)))]]) ).
cnf(refute_0_166,plain,
set_union2(set_union2(X_111,X_40),X_40) = set_union2(set_union2(X_111,X_40),set_union2(X_40,set_union2(X_111,X_40))),
inference(subst,[],[refute_0_145:[bind(A,$fot(set_union2(X_111,X_40)))]]) ).
cnf(refute_0_167,plain,
set_union2(X_40,X_111) = set_union2(X_40,set_union2(X_111,X_40)),
inference(subst,[],[refute_0_145:[bind(A,$fot(X_40)),bind(X_40,$fot(X_111))]]) ).
cnf(refute_0_168,plain,
( set_union2(X_40,X_111) != set_union2(X_40,set_union2(X_111,X_40))
| set_union2(X_40,set_union2(X_111,X_40)) = set_union2(X_40,X_111) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_40,X_111))),bind(Y,$fot(set_union2(X_40,set_union2(X_111,X_40))))]]) ).
cnf(refute_0_169,plain,
set_union2(X_40,set_union2(X_111,X_40)) = set_union2(X_40,X_111),
inference(resolve,[$cnf( $equal(set_union2(X_40,X_111),set_union2(X_40,set_union2(X_111,X_40))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( set_union2(X_40,set_union2(X_111,X_40)) != set_union2(X_40,X_111)
| set_union2(set_union2(X_111,X_40),X_40) != set_union2(set_union2(X_111,X_40),set_union2(X_40,set_union2(X_111,X_40)))
| set_union2(set_union2(X_111,X_40),X_40) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(set_union2(X_111,X_40),set_union2(X_40,set_union2(X_111,X_40)))) ),[1,1],$fot(set_union2(X_40,X_111))]]) ).
cnf(refute_0_171,plain,
( set_union2(set_union2(X_111,X_40),X_40) != set_union2(set_union2(X_111,X_40),set_union2(X_40,set_union2(X_111,X_40)))
| set_union2(set_union2(X_111,X_40),X_40) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)) ),
inference(resolve,[$cnf( $equal(set_union2(X_40,set_union2(X_111,X_40)),set_union2(X_40,X_111)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
set_union2(set_union2(X_111,X_40),X_40) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(set_union2(X_111,X_40),set_union2(X_40,set_union2(X_111,X_40)))) )],[refute_0_166,refute_0_171]) ).
cnf(refute_0_173,plain,
set_union2(set_union2(X_111,X_40),X_40) = set_union2(X_40,set_union2(X_111,X_40)),
inference(subst,[],[refute_0_19:[bind(A,$fot(X_40)),bind(B,$fot(set_union2(X_111,X_40)))]]) ).
cnf(refute_0_174,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_175,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_17,refute_0_174]) ).
cnf(refute_0_176,plain,
( set_union2(X_40,set_union2(X_111,X_40)) != set_union2(X_40,X_111)
| set_union2(set_union2(X_111,X_40),X_40) != set_union2(X_40,set_union2(X_111,X_40))
| set_union2(set_union2(X_111,X_40),X_40) = set_union2(X_40,X_111) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_union2(X_111,X_40),X_40))),bind(Y,$fot(set_union2(X_40,set_union2(X_111,X_40)))),bind(Z,$fot(set_union2(X_40,X_111)))]]) ).
cnf(refute_0_177,plain,
( set_union2(X_40,set_union2(X_111,X_40)) != set_union2(X_40,X_111)
| set_union2(set_union2(X_111,X_40),X_40) = set_union2(X_40,X_111) ),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(X_40,set_union2(X_111,X_40))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
set_union2(set_union2(X_111,X_40),X_40) = set_union2(X_40,X_111),
inference(resolve,[$cnf( $equal(set_union2(X_40,set_union2(X_111,X_40)),set_union2(X_40,X_111)) )],[refute_0_169,refute_0_177]) ).
cnf(refute_0_179,plain,
( set_union2(set_union2(X_111,X_40),X_40) != set_union2(X_40,X_111)
| set_union2(set_union2(X_111,X_40),X_40) != set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111))
| set_union2(X_40,X_111) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111))) ),[0],$fot(set_union2(X_40,X_111))]]) ).
cnf(refute_0_180,plain,
( set_union2(set_union2(X_111,X_40),X_40) != set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111))
| set_union2(X_40,X_111) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)) ),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(X_40,X_111)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
set_union2(X_40,X_111) = set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111)),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_111,X_40),X_40),set_union2(set_union2(X_111,X_40),set_union2(X_40,X_111))) )],[refute_0_172,refute_0_180]) ).
cnf(refute_0_182,plain,
set_union2(X_167,X_166) = set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),
inference(subst,[],[refute_0_181:[bind(X_111,$fot(X_166)),bind(X_40,$fot(X_167))]]) ).
cnf(refute_0_183,plain,
( set_union2(X_167,X_166) != set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166))
| set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)) = set_union2(X_167,X_166) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_167,X_166))),bind(Y,$fot(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166))))]]) ).
cnf(refute_0_184,plain,
set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)) = set_union2(X_167,X_166),
inference(resolve,[$cnf( $equal(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( set_difference(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)) != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)) != set_union2(X_167,X_166)
| set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) ),[0,0],$fot(set_union2(X_167,X_166))]]) ).
cnf(refute_0_186,plain,
( set_difference(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)) != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) )],[refute_0_165,refute_0_186]) ).
cnf(refute_0_188,plain,
set_difference(X_23,set_difference(X_23,empty_set)) = set_intersection2(X_23,empty_set),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_23)),bind(B,$fot(empty_set))]]) ).
cnf(refute_0_189,plain,
set_difference(X_23,empty_set) = X_23,
inference(subst,[],[refute_0_163:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_190,plain,
( set_difference(X_23,empty_set) != X_23
| set_difference(X_23,set_difference(X_23,empty_set)) != set_intersection2(X_23,empty_set)
| set_difference(X_23,X_23) = set_intersection2(X_23,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_23,set_difference(X_23,empty_set)),set_intersection2(X_23,empty_set)) ),[0,1],$fot(X_23)]]) ).
cnf(refute_0_191,plain,
( set_difference(X_23,set_difference(X_23,empty_set)) != set_intersection2(X_23,empty_set)
| set_difference(X_23,X_23) = set_intersection2(X_23,empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(X_23,empty_set),X_23) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
set_difference(X_23,X_23) = set_intersection2(X_23,empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_23,set_difference(X_23,empty_set)),set_intersection2(X_23,empty_set)) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_194,plain,
set_intersection2(X_23,empty_set) = empty_set,
inference(subst,[],[refute_0_193:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_195,plain,
( set_difference(X_23,X_23) != set_intersection2(X_23,empty_set)
| set_intersection2(X_23,empty_set) != empty_set
| set_difference(X_23,X_23) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_23,X_23),empty_set) ),[0],$fot(set_intersection2(X_23,empty_set))]]) ).
cnf(refute_0_196,plain,
( set_difference(X_23,X_23) != set_intersection2(X_23,empty_set)
| set_difference(X_23,X_23) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(X_23,empty_set),empty_set) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
set_difference(X_23,X_23) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(X_23,X_23),set_intersection2(X_23,empty_set)) )],[refute_0_192,refute_0_196]) ).
cnf(refute_0_198,plain,
set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) = empty_set,
inference(subst,[],[refute_0_197:[bind(X_23,$fot(set_union2(X_167,X_166)))]]) ).
cnf(refute_0_199,plain,
( set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) != empty_set
| set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| empty_set = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_200,plain,
( set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| empty_set = set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)),empty_set) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
set_difference(set_union2(A,set_union2(X_111,A)),set_union2(X_111,A)) = set_difference(A,set_union2(X_111,A)),
inference(subst,[],[refute_0_87:[bind(B,$fot(set_union2(X_111,A)))]]) ).
cnf(refute_0_202,plain,
set_union2(A,X_111) = set_union2(A,set_union2(X_111,A)),
inference(subst,[],[refute_0_145:[bind(X_40,$fot(X_111))]]) ).
cnf(refute_0_203,plain,
( set_union2(A,X_111) != set_union2(A,set_union2(X_111,A))
| set_union2(A,set_union2(X_111,A)) = set_union2(A,X_111) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(A,X_111))),bind(Y,$fot(set_union2(A,set_union2(X_111,A))))]]) ).
cnf(refute_0_204,plain,
set_union2(A,set_union2(X_111,A)) = set_union2(A,X_111),
inference(resolve,[$cnf( $equal(set_union2(A,X_111),set_union2(A,set_union2(X_111,A))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
( set_difference(set_union2(A,set_union2(X_111,A)),set_union2(X_111,A)) != set_difference(A,set_union2(X_111,A))
| set_union2(A,set_union2(X_111,A)) != set_union2(A,X_111)
| set_difference(set_union2(A,X_111),set_union2(X_111,A)) = set_difference(A,set_union2(X_111,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,set_union2(X_111,A)),set_union2(X_111,A)),set_difference(A,set_union2(X_111,A))) ),[0,0],$fot(set_union2(A,X_111))]]) ).
cnf(refute_0_206,plain,
( set_difference(set_union2(A,set_union2(X_111,A)),set_union2(X_111,A)) != set_difference(A,set_union2(X_111,A))
| set_difference(set_union2(A,X_111),set_union2(X_111,A)) = set_difference(A,set_union2(X_111,A)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_union2(X_111,A)),set_union2(A,X_111)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
set_difference(set_union2(A,X_111),set_union2(X_111,A)) = set_difference(A,set_union2(X_111,A)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,set_union2(X_111,A)),set_union2(X_111,A)),set_difference(A,set_union2(X_111,A))) )],[refute_0_201,refute_0_206]) ).
cnf(refute_0_208,plain,
set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) = set_difference(X_166,set_union2(X_167,X_166)),
inference(subst,[],[refute_0_207:[bind(A,$fot(X_166)),bind(X_111,$fot(X_167))]]) ).
cnf(refute_0_209,plain,
( empty_set != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) != set_difference(X_166,set_union2(X_167,X_166))
| empty_set = set_difference(X_166,set_union2(X_167,X_166)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(empty_set,set_difference(X_166,set_union2(X_167,X_166))) ),[0],$fot(set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)))]]) ).
cnf(refute_0_210,plain,
( empty_set != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| empty_set = set_difference(X_166,set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_difference(X_166,set_union2(X_167,X_166))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
( set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)) != set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))
| empty_set = set_difference(X_166,set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(empty_set,set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) )],[refute_0_200,refute_0_210]) ).
cnf(refute_0_212,plain,
empty_set = set_difference(X_166,set_union2(X_167,X_166)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_union2(X_167,X_166)),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) )],[refute_0_187,refute_0_211]) ).
cnf(refute_0_213,plain,
( empty_set != set_difference(X_166,set_union2(X_167,X_166))
| set_difference(X_166,set_union2(X_167,X_166)) = empty_set ),
inference(subst,[],[refute_0_17:[bind(X,$fot(empty_set)),bind(Y,$fot(set_difference(X_166,set_union2(X_167,X_166))))]]) ).
cnf(refute_0_214,plain,
set_difference(X_166,set_union2(X_167,X_166)) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_difference(X_166,set_union2(X_167,X_166))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
set_difference(X_141,set_union2(X_40,X_141)) = empty_set,
inference(subst,[],[refute_0_214:[bind(X_166,$fot(X_141)),bind(X_167,$fot(X_40))]]) ).
cnf(refute_0_216,plain,
set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),
introduced(tautology,[refl,[$fot(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))))]]) ).
cnf(refute_0_217,plain,
( set_difference(X_141,set_union2(X_40,X_141)) != empty_set
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141)))
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_141,X_40),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141)))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_218,plain,
( set_difference(X_141,set_union2(X_40,X_141)) != empty_set
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_141,X_40),empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_difference(set_union2(X_141,X_40),empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_141,set_union2(X_40,X_141)),empty_set) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( set_difference(set_union2(X_141,X_40),empty_set) != set_union2(X_141,X_40)
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_difference(set_union2(X_141,X_40),empty_set)
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_union2(X_141,X_40) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))))),bind(Y,$fot(set_difference(set_union2(X_141,X_40),empty_set))),bind(Z,$fot(set_union2(X_141,X_40)))]]) ).
cnf(refute_0_221,plain,
( set_difference(set_union2(X_141,X_40),empty_set) != set_union2(X_141,X_40)
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_union2(X_141,X_40) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_difference(set_union2(X_141,X_40),empty_set)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) = set_union2(X_141,X_40),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),empty_set),set_union2(X_141,X_40)) )],[refute_0_164,refute_0_221]) ).
cnf(refute_0_223,plain,
( set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_union2(X_141,X_40)
| set_union2(X_141,X_40) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) ),[0],$fot(set_union2(X_141,X_40))]]) ).
cnf(refute_0_224,plain,
( set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_union2(X_141,X_40) = set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_union2(X_141,X_40)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166))),
inference(subst,[],[refute_0_129:[bind(X_49,$fot(set_union2(X_167,X_166))),bind(X_50,$fot(set_union2(X_166,X_167)))]]) ).
cnf(refute_0_226,plain,
( set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)))
| set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)) != set_union2(X_167,X_166)
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)))) ),[1,1],$fot(set_union2(X_167,X_166))]]) ).
cnf(refute_0_227,plain,
( set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_union2(X_167,X_166)) )],[refute_0_184,refute_0_226]) ).
cnf(refute_0_228,plain,
set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(set_union2(X_166,X_167),set_union2(X_167,X_166)))) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)),
inference(subst,[],[refute_0_158:[bind(X_111,$fot(X_167)),bind(X_50,$fot(X_166))]]) ).
cnf(refute_0_230,plain,
set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),
introduced(tautology,[refl,[$fot(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))))]]) ).
cnf(refute_0_231,plain,
( set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) != set_difference(X_166,set_union2(X_167,X_166))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)))) ),[1,1],$fot(set_difference(X_166,set_union2(X_167,X_166)))]]) ).
cnf(refute_0_232,plain,
( set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)) != set_difference(X_166,set_union2(X_167,X_166))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166)),set_difference(X_166,set_union2(X_167,X_166))) )],[refute_0_208,refute_0_232]) ).
cnf(refute_0_234,plain,
( set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166)))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))))),bind(Y,$fot(set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))))),bind(Z,$fot(set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))))]]) ).
cnf(refute_0_235,plain,
( set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) = set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(X_166,set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))) )],[refute_0_229,refute_0_235]) ).
cnf(refute_0_237,plain,
( set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))
| set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))
| set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))) ),[0],$fot(set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)))]]) ).
cnf(refute_0_238,plain,
( set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))
| set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
set_intersection2(A,A) = A,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_240,plain,
set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) = set_union2(X_167,X_166),
inference(subst,[],[refute_0_239:[bind(A,$fot(set_union2(X_167,X_166)))]]) ).
cnf(refute_0_241,plain,
( set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) != set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))
| set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)) != set_union2(X_167,X_166)
| set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_union2(X_167,X_166) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)),set_union2(X_167,X_166)) ),[0],$fot(set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)))]]) ).
cnf(refute_0_242,plain,
( set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) != set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))
| set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_union2(X_167,X_166) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166)),set_union2(X_167,X_166)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))) != set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))
| set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_union2(X_167,X_166) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)),set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))) )],[refute_0_238,refute_0_242]) ).
cnf(refute_0_244,plain,
set_intersection2(set_union2(X_167,X_166),set_union2(X_166,X_167)) = set_union2(X_167,X_166),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_167,X_166),set_difference(set_union2(X_166,X_167),set_union2(X_167,X_166))),set_intersection2(set_union2(X_167,X_166),set_union2(X_167,X_166))) )],[refute_0_228,refute_0_243]) ).
cnf(refute_0_245,plain,
set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) = set_union2(X_40,X_141),
inference(subst,[],[refute_0_244:[bind(X_166,$fot(X_141)),bind(X_167,$fot(X_40))]]) ).
cnf(refute_0_246,plain,
( set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)) != set_union2(X_40,X_141)
| set_union2(X_141,X_40) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_union2(X_141,X_40) = set_union2(X_40,X_141) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_141,X_40),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) ),[1],$fot(set_union2(X_40,X_141))]]) ).
cnf(refute_0_247,plain,
( set_union2(X_141,X_40) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_union2(X_141,X_40) = set_union2(X_40,X_141) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40)),set_union2(X_40,X_141)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))) != set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))
| set_union2(X_141,X_40) = set_union2(X_40,X_141) ),
inference(resolve,[$cnf( $equal(set_union2(X_141,X_40),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) )],[refute_0_224,refute_0_247]) ).
cnf(refute_0_249,plain,
set_union2(X_141,X_40) = set_union2(X_40,X_141),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_141,X_40),set_difference(X_141,set_union2(X_40,X_141))),set_intersection2(set_union2(X_40,X_141),set_union2(X_141,X_40))) )],[refute_0_162,refute_0_248]) ).
cnf(refute_0_250,plain,
( set_union2(X_141,X_40) != set_union2(X_40,X_141)
| set_union2(X_40,X_141) = set_union2(X_141,X_40) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_141,X_40))),bind(Y,$fot(set_union2(X_40,X_141)))]]) ).
cnf(refute_0_251,plain,
set_union2(X_40,X_141) = set_union2(X_141,X_40),
inference(resolve,[$cnf( $equal(set_union2(X_141,X_40),set_union2(X_40,X_141)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
set_union2(set_intersection2(X_158,X_34),empty_set) = set_union2(empty_set,set_intersection2(X_158,X_34)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_253,plain,
( set_union2(empty_set,set_intersection2(X_158,X_34)) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),empty_set) != set_union2(empty_set,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,X_34),empty_set) = set_intersection2(X_158,X_34) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,X_34),empty_set))),bind(Y,$fot(set_union2(empty_set,set_intersection2(X_158,X_34)))),bind(Z,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_254,plain,
( set_union2(empty_set,set_intersection2(X_158,X_34)) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),empty_set) = set_intersection2(X_158,X_34) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),empty_set),set_union2(empty_set,set_intersection2(X_158,X_34))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
set_union2(set_intersection2(X_158,X_34),empty_set) = set_intersection2(X_158,X_34),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(X_158,X_34)),set_intersection2(X_158,X_34)) )],[refute_0_85,refute_0_254]) ).
cnf(refute_0_256,plain,
subset(set_intersection2(A,B),A),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_257,plain,
subset(set_intersection2(X_263,B),X_263),
inference(subst,[],[refute_0_256:[bind(A,$fot(X_263))]]) ).
cnf(refute_0_258,plain,
( ~ subset(set_intersection2(X_263,B),X_263)
| set_difference(set_intersection2(X_263,B),X_263) = empty_set ),
inference(subst,[],[refute_0_34:[bind(A,$fot(set_intersection2(X_263,B))),bind(B,$fot(X_263))]]) ).
cnf(refute_0_259,plain,
set_difference(set_intersection2(X_263,B),X_263) = empty_set,
inference(resolve,[$cnf( subset(set_intersection2(X_263,B),X_263) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
set_difference(set_intersection2(X_158,X_34),X_158) = empty_set,
inference(subst,[],[refute_0_259:[bind(B,$fot(X_34)),bind(X_263,$fot(X_158))]]) ).
cnf(refute_0_261,plain,
set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)))]]) ).
cnf(refute_0_262,plain,
( set_difference(set_intersection2(X_158,X_34),X_158) != empty_set
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) != set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158))
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_union2(set_intersection2(X_158,X_34),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_263,plain,
( set_difference(set_intersection2(X_158,X_34),X_158) != empty_set
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_union2(set_intersection2(X_158,X_34),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_union2(set_intersection2(X_158,X_34),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_158,X_34),X_158),empty_set) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( set_union2(set_intersection2(X_158,X_34),empty_set) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) != set_union2(set_intersection2(X_158,X_34),empty_set)
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_intersection2(X_158,X_34) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)))),bind(Y,$fot(set_union2(set_intersection2(X_158,X_34),empty_set))),bind(Z,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_266,plain,
( set_union2(set_intersection2(X_158,X_34),empty_set) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_intersection2(X_158,X_34) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),set_union2(set_intersection2(X_158,X_34),empty_set)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) = set_intersection2(X_158,X_34),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),empty_set),set_intersection2(X_158,X_34)) )],[refute_0_255,refute_0_266]) ).
cnf(refute_0_268,plain,
set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)) = set_union2(X_39,set_difference(X_39,X_24)),
inference(subst,[],[refute_0_31:[bind(X_124,$fot(X_24)),bind(X_125,$fot(X_39))]]) ).
cnf(refute_0_269,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) = set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(set_difference(X_39,X_24))),bind(X_40,$fot(set_intersection2(X_24,X_39)))]]) ).
cnf(refute_0_270,plain,
( set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)) != set_union2(X_39,set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) != set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) = set_union2(X_39,set_difference(X_39,X_24)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)))),bind(Y,$fot(set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)))),bind(Z,$fot(set_union2(X_39,set_difference(X_39,X_24))))]]) ).
cnf(refute_0_271,plain,
( set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)) != set_union2(X_39,set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) = set_union2(X_39,set_difference(X_39,X_24)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)),set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) = set_union2(X_39,set_difference(X_39,X_24)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_39,X_24),set_intersection2(X_24,X_39)),set_union2(X_39,set_difference(X_39,X_24))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
set_union2(set_difference(set_difference(X_130,X_24),X_130),set_intersection2(X_130,set_difference(X_130,X_24))) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),
inference(subst,[],[refute_0_31:[bind(X_124,$fot(X_130)),bind(X_125,$fot(set_difference(X_130,X_24)))]]) ).
cnf(refute_0_274,plain,
set_difference(X_130,set_intersection2(X_130,X_24)) = set_intersection2(X_130,set_difference(X_130,X_24)),
inference(subst,[],[refute_0_45:[bind(A,$fot(X_130))]]) ).
cnf(refute_0_275,plain,
( set_difference(X_130,set_intersection2(X_130,X_24)) != set_intersection2(X_130,set_difference(X_130,X_24))
| set_intersection2(X_130,set_difference(X_130,X_24)) = set_difference(X_130,set_intersection2(X_130,X_24)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(X_130,set_intersection2(X_130,X_24)))),bind(Y,$fot(set_intersection2(X_130,set_difference(X_130,X_24))))]]) ).
cnf(refute_0_276,plain,
set_intersection2(X_130,set_difference(X_130,X_24)) = set_difference(X_130,set_intersection2(X_130,X_24)),
inference(resolve,[$cnf( $equal(set_difference(X_130,set_intersection2(X_130,X_24)),set_intersection2(X_130,set_difference(X_130,X_24))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
( set_intersection2(X_130,set_difference(X_130,X_24)) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(set_difference(X_130,X_24),X_130),set_intersection2(X_130,set_difference(X_130,X_24))) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(set_difference(X_130,X_24),X_130),set_intersection2(X_130,set_difference(X_130,X_24))),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) ),[0,1],$fot(set_difference(X_130,set_intersection2(X_130,X_24)))]]) ).
cnf(refute_0_278,plain,
( set_union2(set_difference(set_difference(X_130,X_24),X_130),set_intersection2(X_130,set_difference(X_130,X_24))) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_130,set_difference(X_130,X_24)),set_difference(X_130,set_intersection2(X_130,X_24))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(set_difference(X_130,X_24),X_130),set_intersection2(X_130,set_difference(X_130,X_24))),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_273,refute_0_278]) ).
cnf(refute_0_280,plain,
set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) = set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),
inference(subst,[],[refute_0_19:[bind(A,$fot(set_difference(X_130,set_intersection2(X_130,X_24)))),bind(B,$fot(set_difference(set_difference(X_130,X_24),X_130)))]]) ).
cnf(refute_0_281,plain,
( set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) != set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) ),[0],$fot(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)))]]) ).
cnf(refute_0_282,plain,
( set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))),set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(set_difference(X_130,X_24),X_130),set_difference(X_130,set_intersection2(X_130,X_24))),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))) = set_difference(X_130,set_intersection2(X_130,X_24)),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_difference(X_130,set_intersection2(X_130,X_24))))]]) ).
cnf(refute_0_285,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) = set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_difference(X_130,set_intersection2(X_130,X_24))))]]) ).
cnf(refute_0_286,plain,
( set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) != set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24)))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) = set_difference(X_130,set_intersection2(X_130,X_24)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set))),bind(Y,$fot(set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))))),bind(Z,$fot(set_difference(X_130,set_intersection2(X_130,X_24))))]]) ).
cnf(refute_0_287,plain,
( set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) = set_difference(X_130,set_intersection2(X_130,X_24)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set),set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) = set_difference(X_130,set_intersection2(X_130,X_24)),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_difference(X_130,set_intersection2(X_130,X_24))),set_difference(X_130,set_intersection2(X_130,X_24))) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
subset(set_difference(A,B),A),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_290,plain,
subset(set_difference(X_263,B),X_263),
inference(subst,[],[refute_0_289:[bind(A,$fot(X_263))]]) ).
cnf(refute_0_291,plain,
( ~ subset(set_difference(X_263,B),X_263)
| set_difference(set_difference(X_263,B),X_263) = empty_set ),
inference(subst,[],[refute_0_34:[bind(A,$fot(set_difference(X_263,B))),bind(B,$fot(X_263))]]) ).
cnf(refute_0_292,plain,
set_difference(set_difference(X_263,B),X_263) = empty_set,
inference(resolve,[$cnf( subset(set_difference(X_263,B),X_263) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
set_difference(set_difference(X_130,X_24),X_130) = empty_set,
inference(subst,[],[refute_0_292:[bind(B,$fot(X_24)),bind(X_263,$fot(X_130))]]) ).
cnf(refute_0_294,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),
introduced(tautology,[refl,[$fot(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)))]]) ).
cnf(refute_0_295,plain,
( set_difference(set_difference(X_130,X_24),X_130) != empty_set
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_296,plain,
( set_difference(set_difference(X_130,X_24),X_130) != empty_set
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_difference(X_130,X_24),X_130),empty_set) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
( set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set)
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,set_intersection2(X_130,X_24)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)))),bind(Y,$fot(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set))),bind(Z,$fot(set_difference(X_130,set_intersection2(X_130,X_24))))]]) ).
cnf(refute_0_299,plain,
( set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,set_intersection2(X_130,X_24)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set)) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,set_intersection2(X_130,X_24)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),empty_set),set_difference(X_130,set_intersection2(X_130,X_24))) )],[refute_0_288,refute_0_299]) ).
cnf(refute_0_301,plain,
( set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_difference(X_130,set_intersection2(X_130,X_24))
| set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_difference(X_130,set_intersection2(X_130,X_24)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) ),[0],$fot(set_difference(X_130,set_intersection2(X_130,X_24)))]]) ).
cnf(refute_0_302,plain,
( set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_difference(X_130,set_intersection2(X_130,X_24)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_difference(X_130,set_intersection2(X_130,X_24))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
set_union2(empty_set,set_difference(X_130,X_24)) = set_difference(X_130,X_24),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_difference(X_130,X_24)))]]) ).
cnf(refute_0_304,plain,
set_union2(set_difference(X_130,X_24),empty_set) = set_union2(empty_set,set_difference(X_130,X_24)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_difference(X_130,X_24)))]]) ).
cnf(refute_0_305,plain,
( set_union2(empty_set,set_difference(X_130,X_24)) != set_difference(X_130,X_24)
| set_union2(set_difference(X_130,X_24),empty_set) != set_union2(empty_set,set_difference(X_130,X_24))
| set_union2(set_difference(X_130,X_24),empty_set) = set_difference(X_130,X_24) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_130,X_24),empty_set))),bind(Y,$fot(set_union2(empty_set,set_difference(X_130,X_24)))),bind(Z,$fot(set_difference(X_130,X_24)))]]) ).
cnf(refute_0_306,plain,
( set_union2(empty_set,set_difference(X_130,X_24)) != set_difference(X_130,X_24)
| set_union2(set_difference(X_130,X_24),empty_set) = set_difference(X_130,X_24) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,X_24),empty_set),set_union2(empty_set,set_difference(X_130,X_24))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
set_union2(set_difference(X_130,X_24),empty_set) = set_difference(X_130,X_24),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_difference(X_130,X_24)),set_difference(X_130,X_24)) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),
introduced(tautology,[refl,[$fot(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)))]]) ).
cnf(refute_0_309,plain,
( set_difference(set_difference(X_130,X_24),X_130) != empty_set
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_310,plain,
( set_difference(set_difference(X_130,X_24),X_130) != empty_set
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_union2(set_difference(X_130,X_24),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_difference(X_130,X_24),X_130),empty_set) )],[refute_0_293,refute_0_310]) ).
cnf(refute_0_312,plain,
( set_union2(set_difference(X_130,X_24),empty_set) != set_difference(X_130,X_24)
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,X_24),empty_set)
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,X_24) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)))),bind(Y,$fot(set_union2(set_difference(X_130,X_24),empty_set))),bind(Z,$fot(set_difference(X_130,X_24)))]]) ).
cnf(refute_0_313,plain,
( set_union2(set_difference(X_130,X_24),empty_set) != set_difference(X_130,X_24)
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,X_24) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,X_24),empty_set)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) = set_difference(X_130,X_24),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,X_24),empty_set),set_difference(X_130,X_24)) )],[refute_0_307,refute_0_313]) ).
cnf(refute_0_315,plain,
( set_difference(X_130,set_intersection2(X_130,X_24)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)) != set_difference(X_130,X_24)
| set_difference(X_130,set_intersection2(X_130,X_24)) = set_difference(X_130,X_24) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(X_130,X_24)) ),[0],$fot(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)))]]) ).
cnf(refute_0_316,plain,
( set_difference(X_130,set_intersection2(X_130,X_24)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_difference(X_130,set_intersection2(X_130,X_24)) = set_difference(X_130,X_24) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130)),set_difference(X_130,X_24)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)) != set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))
| set_difference(X_130,set_intersection2(X_130,X_24)) = set_difference(X_130,X_24) ),
inference(resolve,[$cnf( $equal(set_difference(X_130,set_intersection2(X_130,X_24)),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_302,refute_0_316]) ).
cnf(refute_0_318,plain,
set_difference(X_130,set_intersection2(X_130,X_24)) = set_difference(X_130,X_24),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_130,set_intersection2(X_130,X_24)),set_difference(set_difference(X_130,X_24),X_130)),set_union2(set_difference(X_130,X_24),set_difference(set_difference(X_130,X_24),X_130))) )],[refute_0_283,refute_0_317]) ).
cnf(refute_0_319,plain,
set_difference(X_39,set_intersection2(X_39,X_24)) = set_difference(X_39,X_24),
inference(subst,[],[refute_0_318:[bind(X_130,$fot(X_39))]]) ).
cnf(refute_0_320,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))))]]) ).
cnf(refute_0_321,plain,
( set_difference(X_39,set_intersection2(X_39,X_24)) != set_difference(X_39,X_24)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24)))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24)))) ),[1,1],$fot(set_difference(X_39,X_24))]]) ).
cnf(refute_0_322,plain,
( set_difference(X_39,set_intersection2(X_39,X_24)) != set_difference(X_39,X_24)
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)),
inference(resolve,[$cnf( $equal(set_difference(X_39,set_intersection2(X_39,X_24)),set_difference(X_39,X_24)) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) != set_union2(X_39,set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_difference(X_39,X_24)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))))),bind(Y,$fot(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)))),bind(Z,$fot(set_union2(X_39,set_difference(X_39,X_24))))]]) ).
cnf(refute_0_325,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)) != set_union2(X_39,set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_difference(X_39,X_24)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) = set_union2(X_39,set_difference(X_39,X_24)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,X_24)),set_union2(X_39,set_difference(X_39,X_24))) )],[refute_0_272,refute_0_325]) ).
cnf(refute_0_327,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(X_39,set_difference(X_39,X_24))
| set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(X_39,set_intersection2(X_24,X_39))
| set_union2(X_39,set_difference(X_39,X_24)) = set_union2(X_39,set_intersection2(X_24,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(X_39,set_intersection2(X_24,X_39))) ),[0],$fot(set_union2(X_39,set_difference(X_39,X_24)))]]) ).
cnf(refute_0_328,plain,
( set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))) != set_union2(X_39,set_intersection2(X_24,X_39))
| set_union2(X_39,set_difference(X_39,X_24)) = set_union2(X_39,set_intersection2(X_24,X_39)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(X_39,set_difference(X_39,X_24))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
set_union2(X_39,set_difference(X_39,X_24)) = set_union2(X_39,set_intersection2(X_24,X_39)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_24,X_39),set_difference(X_39,set_intersection2(X_39,X_24))),set_union2(X_39,set_intersection2(X_24,X_39))) )],[refute_0_62,refute_0_328]) ).
cnf(refute_0_330,plain,
( set_union2(X_39,set_difference(X_39,X_24)) != set_union2(X_39,set_intersection2(X_24,X_39))
| set_union2(X_39,set_intersection2(X_24,X_39)) = set_union2(X_39,set_difference(X_39,X_24)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_39,set_difference(X_39,X_24)))),bind(Y,$fot(set_union2(X_39,set_intersection2(X_24,X_39))))]]) ).
cnf(refute_0_331,plain,
set_union2(X_39,set_intersection2(X_24,X_39)) = set_union2(X_39,set_difference(X_39,X_24)),
inference(resolve,[$cnf( $equal(set_union2(X_39,set_difference(X_39,X_24)),set_union2(X_39,set_intersection2(X_24,X_39))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),
inference(subst,[],[refute_0_331:[bind(X_24,$fot(X_158)),bind(X_39,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_333,plain,
( set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_intersection2(X_158,X_34) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))))),bind(Y,$fot(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)))),bind(Z,$fot(set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_334,plain,
( set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_intersection2(X_158,X_34) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))),set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_intersection2(X_158,X_34),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_difference(set_intersection2(X_158,X_34),X_158)),set_intersection2(X_158,X_34)) )],[refute_0_267,refute_0_334]) ).
cnf(refute_0_336,plain,
( set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_intersection2(X_158,X_34)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_intersection2(X_158,X_34) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),[0],$fot(set_intersection2(X_158,X_34))]]) ).
cnf(refute_0_337,plain,
( set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_intersection2(X_158,X_34) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))),set_intersection2(X_158,X_34)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),
inference(subst,[],[refute_0_23:[bind(B,$fot(set_union2(X_50,X_125))),bind(X_39,$fot(X_125))]]) ).
cnf(refute_0_339,plain,
set_difference(X_125,set_difference(X_50,X_125)) = set_intersection2(X_125,set_union2(X_50,X_125)),
inference(subst,[],[refute_0_129:[bind(X_49,$fot(X_125))]]) ).
cnf(refute_0_340,plain,
( set_difference(X_125,set_difference(X_50,X_125)) != set_intersection2(X_125,set_union2(X_50,X_125))
| set_intersection2(X_125,set_union2(X_50,X_125)) = set_difference(X_125,set_difference(X_50,X_125)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(X_125,set_difference(X_50,X_125)))),bind(Y,$fot(set_intersection2(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_341,plain,
set_intersection2(X_125,set_union2(X_50,X_125)) = set_difference(X_125,set_difference(X_50,X_125)),
inference(resolve,[$cnf( $equal(set_difference(X_125,set_difference(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( set_intersection2(X_125,set_union2(X_50,X_125)) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) ),[0,1],$fot(set_difference(X_125,set_difference(X_50,X_125)))]]) ).
cnf(refute_0_343,plain,
( set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_intersection2(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_338,refute_0_343]) ).
cnf(refute_0_345,plain,
set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) = set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),
inference(subst,[],[refute_0_19:[bind(A,$fot(set_difference(X_125,set_difference(X_50,X_125)))),bind(B,$fot(set_difference(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_346,plain,
( set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) != set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) ),[0],$fot(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_347,plain,
( set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))),set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_union2(X_50,X_125)),set_difference(X_125,set_difference(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_344,refute_0_347]) ).
cnf(refute_0_349,plain,
set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))) = set_difference(X_125,set_difference(X_50,X_125)),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_difference(X_125,set_difference(X_50,X_125))))]]) ).
cnf(refute_0_350,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) = set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_difference(X_125,set_difference(X_50,X_125))))]]) ).
cnf(refute_0_351,plain,
( set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) != set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125)))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) = set_difference(X_125,set_difference(X_50,X_125)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set))),bind(Y,$fot(set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))))),bind(Z,$fot(set_difference(X_125,set_difference(X_50,X_125))))]]) ).
cnf(refute_0_352,plain,
( set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) = set_difference(X_125,set_difference(X_50,X_125)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set),set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) = set_difference(X_125,set_difference(X_50,X_125)),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_difference(X_125,set_difference(X_50,X_125))),set_difference(X_125,set_difference(X_50,X_125))) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
set_difference(X_125,set_union2(X_50,X_125)) = empty_set,
inference(subst,[],[refute_0_214:[bind(X_166,$fot(X_125)),bind(X_167,$fot(X_50))]]) ).
cnf(refute_0_355,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),
introduced(tautology,[refl,[$fot(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_356,plain,
( set_difference(X_125,set_union2(X_50,X_125)) != empty_set
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125)))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_357,plain,
( set_difference(X_125,set_union2(X_50,X_125)) != empty_set
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_125,set_union2(X_50,X_125)),empty_set) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set)
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_difference(X_125,set_difference(X_50,X_125)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))))),bind(Y,$fot(set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set))),bind(Z,$fot(set_difference(X_125,set_difference(X_50,X_125))))]]) ).
cnf(refute_0_360,plain,
( set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_difference(X_125,set_difference(X_50,X_125)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) = set_difference(X_125,set_difference(X_50,X_125)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),empty_set),set_difference(X_125,set_difference(X_50,X_125))) )],[refute_0_353,refute_0_360]) ).
cnf(refute_0_362,plain,
( set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_difference(X_125,set_difference(X_50,X_125))
| set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_difference(X_125,set_difference(X_50,X_125)) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) ),[0],$fot(set_difference(X_125,set_difference(X_50,X_125)))]]) ).
cnf(refute_0_363,plain,
( set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_difference(X_125,set_difference(X_50,X_125)) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_difference(X_125,set_difference(X_50,X_125))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
set_union2(X_125,empty_set) = X_125,
inference(subst,[],[refute_0_80:[bind(A,$fot(X_125))]]) ).
cnf(refute_0_365,plain,
set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),
introduced(tautology,[refl,[$fot(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_366,plain,
( set_difference(X_125,set_union2(X_50,X_125)) != empty_set
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_367,plain,
( set_difference(X_125,set_union2(X_50,X_125)) != empty_set
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = set_union2(X_125,empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_125,set_union2(X_50,X_125)),empty_set) )],[refute_0_354,refute_0_367]) ).
cnf(refute_0_369,plain,
( set_union2(X_125,empty_set) != X_125
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) != set_union2(X_125,empty_set)
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = X_125 ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))))),bind(Y,$fot(set_union2(X_125,empty_set))),bind(Z,$fot(X_125))]]) ).
cnf(refute_0_370,plain,
( set_union2(X_125,empty_set) != X_125
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = X_125 ),
inference(resolve,[$cnf( $equal(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),set_union2(X_125,empty_set)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) = X_125,
inference(resolve,[$cnf( $equal(set_union2(X_125,empty_set),X_125) )],[refute_0_364,refute_0_370]) ).
cnf(refute_0_372,plain,
( set_difference(X_125,set_difference(X_50,X_125)) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))) != X_125
| set_difference(X_125,set_difference(X_50,X_125)) = X_125 ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_125,set_difference(X_50,X_125)),X_125) ),[0],$fot(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))))]]) ).
cnf(refute_0_373,plain,
( set_difference(X_125,set_difference(X_50,X_125)) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_difference(X_125,set_difference(X_50,X_125)) = X_125 ),
inference(resolve,[$cnf( $equal(set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125))),X_125) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
( set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))) != set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))
| set_difference(X_125,set_difference(X_50,X_125)) = X_125 ),
inference(resolve,[$cnf( $equal(set_difference(X_125,set_difference(X_50,X_125)),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_363,refute_0_373]) ).
cnf(refute_0_375,plain,
set_difference(X_125,set_difference(X_50,X_125)) = X_125,
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_125,set_difference(X_50,X_125)),set_difference(X_125,set_union2(X_50,X_125))),set_union2(X_125,set_difference(X_125,set_union2(X_50,X_125)))) )],[refute_0_348,refute_0_374]) ).
cnf(refute_0_376,plain,
set_difference(B,set_difference(X_40,B)) = B,
inference(subst,[],[refute_0_375:[bind(X_125,$fot(B)),bind(X_50,$fot(X_40))]]) ).
cnf(refute_0_377,plain,
( set_difference(B,set_difference(X_40,B)) != B
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_difference(B,set_difference(X_40,B))
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_difference(B,set_difference(X_40,B))) ),[1],$fot(B)]]) ).
cnf(refute_0_378,plain,
( set_difference(set_union2(X_40,B),set_difference(X_40,B)) != set_difference(B,set_difference(X_40,B))
| set_difference(set_union2(X_40,B),set_difference(X_40,B)) = B ),
inference(resolve,[$cnf( $equal(set_difference(B,set_difference(X_40,B)),B) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
set_difference(set_union2(X_40,B),set_difference(X_40,B)) = B,
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_40,B),set_difference(X_40,B)),set_difference(B,set_difference(X_40,B))) )],[refute_0_135,refute_0_378]) ).
cnf(refute_0_380,plain,
set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))) = set_intersection2(X_233,X_232),
inference(subst,[],[refute_0_379:[bind(B,$fot(set_intersection2(X_233,X_232))),bind(X_40,$fot(set_intersection2(X_232,X_233)))]]) ).
cnf(refute_0_381,plain,
( set_intersection2(A,B) != empty_set
| disjoint(A,B) ),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_382,plain,
( set_intersection2(X_202,set_difference(X_175,X_202)) != empty_set
| disjoint(X_202,set_difference(X_175,X_202)) ),
inference(subst,[],[refute_0_381:[bind(A,$fot(X_202)),bind(B,$fot(set_difference(X_175,X_202)))]]) ).
cnf(refute_0_383,plain,
( ~ subset(A,empty_set)
| A = empty_set ),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_384,plain,
( ~ subset(set_intersection2(X_174,set_difference(X_175,X_174)),empty_set)
| set_intersection2(X_174,set_difference(X_175,X_174)) = empty_set ),
inference(subst,[],[refute_0_383:[bind(A,$fot(set_intersection2(X_174,set_difference(X_175,X_174))))]]) ).
cnf(refute_0_385,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(A,B),A) ),[0],$fot(set_intersection2(B,A))]]) ).
cnf(refute_0_386,plain,
( ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_25,refute_0_385]) ).
cnf(refute_0_387,plain,
subset(set_intersection2(B,A),A),
inference(resolve,[$cnf( subset(set_intersection2(A,B),A) )],[refute_0_256,refute_0_386]) ).
cnf(refute_0_388,plain,
subset(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,X_24)),
inference(subst,[],[refute_0_387:[bind(A,$fot(set_difference(X_32,X_24))),bind(B,$fot(X_32))]]) ).
cnf(refute_0_389,plain,
set_difference(X_32,set_intersection2(X_32,X_24)) = set_intersection2(X_32,set_difference(X_32,X_24)),
inference(subst,[],[refute_0_45:[bind(A,$fot(X_32))]]) ).
cnf(refute_0_390,plain,
( set_difference(X_32,set_intersection2(X_32,X_24)) != set_intersection2(X_32,set_difference(X_32,X_24))
| set_intersection2(X_32,set_difference(X_32,X_24)) = set_difference(X_32,set_intersection2(X_32,X_24)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(X_32,set_intersection2(X_32,X_24)))),bind(Y,$fot(set_intersection2(X_32,set_difference(X_32,X_24))))]]) ).
cnf(refute_0_391,plain,
set_intersection2(X_32,set_difference(X_32,X_24)) = set_difference(X_32,set_intersection2(X_32,X_24)),
inference(resolve,[$cnf( $equal(set_difference(X_32,set_intersection2(X_32,X_24)),set_intersection2(X_32,set_difference(X_32,X_24))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( set_intersection2(X_32,set_difference(X_32,X_24)) != set_difference(X_32,set_intersection2(X_32,X_24))
| ~ subset(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,X_24))
| subset(set_difference(X_32,set_intersection2(X_32,X_24)),set_difference(X_32,X_24)) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,X_24)) ),[0],$fot(set_difference(X_32,set_intersection2(X_32,X_24)))]]) ).
cnf(refute_0_393,plain,
( ~ subset(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,X_24))
| subset(set_difference(X_32,set_intersection2(X_32,X_24)),set_difference(X_32,X_24)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,set_intersection2(X_32,X_24))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
subset(set_difference(X_32,set_intersection2(X_32,X_24)),set_difference(X_32,X_24)),
inference(resolve,[$cnf( subset(set_intersection2(X_32,set_difference(X_32,X_24)),set_difference(X_32,X_24)) )],[refute_0_388,refute_0_393]) ).
cnf(refute_0_395,plain,
subset(set_difference(X_32,set_intersection2(X_32,set_union2(X_32,X_50))),set_difference(X_32,set_union2(X_32,X_50))),
inference(subst,[],[refute_0_394:[bind(X_24,$fot(set_union2(X_32,X_50)))]]) ).
cnf(refute_0_396,plain,
set_difference(X_32,set_difference(X_50,X_32)) = set_intersection2(X_32,set_union2(X_32,X_50)),
inference(subst,[],[refute_0_122:[bind(B,$fot(X_32)),bind(X_42,$fot(X_50))]]) ).
cnf(refute_0_397,plain,
( set_difference(X_32,set_difference(X_50,X_32)) != set_intersection2(X_32,set_union2(X_32,X_50))
| set_intersection2(X_32,set_union2(X_32,X_50)) = set_difference(X_32,set_difference(X_50,X_32)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(X_32,set_difference(X_50,X_32)))),bind(Y,$fot(set_intersection2(X_32,set_union2(X_32,X_50))))]]) ).
cnf(refute_0_398,plain,
set_intersection2(X_32,set_union2(X_32,X_50)) = set_difference(X_32,set_difference(X_50,X_32)),
inference(resolve,[$cnf( $equal(set_difference(X_32,set_difference(X_50,X_32)),set_intersection2(X_32,set_union2(X_32,X_50))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( set_intersection2(X_32,set_union2(X_32,X_50)) != set_difference(X_32,set_difference(X_50,X_32))
| ~ subset(set_difference(X_32,set_intersection2(X_32,set_union2(X_32,X_50))),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50))) ),
introduced(tautology,[equality,[$cnf( subset(set_difference(X_32,set_intersection2(X_32,set_union2(X_32,X_50))),set_difference(X_32,set_union2(X_32,X_50))) ),[0,1],$fot(set_difference(X_32,set_difference(X_50,X_32)))]]) ).
cnf(refute_0_400,plain,
( ~ subset(set_difference(X_32,set_intersection2(X_32,set_union2(X_32,X_50))),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50))) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_32,set_union2(X_32,X_50)),set_difference(X_32,set_difference(X_50,X_32))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50))),
inference(resolve,[$cnf( subset(set_difference(X_32,set_intersection2(X_32,set_union2(X_32,X_50))),set_difference(X_32,set_union2(X_32,X_50))) )],[refute_0_395,refute_0_400]) ).
cnf(refute_0_402,plain,
set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))) = set_intersection2(X_32,set_difference(X_50,X_32)),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_32)),bind(B,$fot(set_difference(X_50,X_32)))]]) ).
cnf(refute_0_403,plain,
( set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))) != set_intersection2(X_32,set_difference(X_50,X_32))
| ~ subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50))) ),
introduced(tautology,[equality,[$cnf( subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50))) ),[0],$fot(set_intersection2(X_32,set_difference(X_50,X_32)))]]) ).
cnf(refute_0_404,plain,
( ~ subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50))) ),
inference(resolve,[$cnf( $equal(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_intersection2(X_32,set_difference(X_50,X_32))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50))),
inference(resolve,[$cnf( subset(set_difference(X_32,set_difference(X_32,set_difference(X_50,X_32))),set_difference(X_32,set_union2(X_32,X_50))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
empty_set = set_difference(X_172,set_union2(X_173,X_172)),
inference(subst,[],[refute_0_212:[bind(X_166,$fot(X_172)),bind(X_167,$fot(X_173))]]) ).
cnf(refute_0_407,plain,
set_union2(X_172,X_173) = set_union2(X_173,X_172),
inference(subst,[],[refute_0_14:[bind(A,$fot(X_172)),bind(B,$fot(X_173))]]) ).
cnf(refute_0_408,plain,
( set_union2(X_172,X_173) != set_union2(X_173,X_172)
| set_union2(X_173,X_172) = set_union2(X_172,X_173) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_union2(X_172,X_173))),bind(Y,$fot(set_union2(X_173,X_172)))]]) ).
cnf(refute_0_409,plain,
set_union2(X_173,X_172) = set_union2(X_172,X_173),
inference(resolve,[$cnf( $equal(set_union2(X_172,X_173),set_union2(X_173,X_172)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
( empty_set != set_difference(X_172,set_union2(X_173,X_172))
| set_union2(X_173,X_172) != set_union2(X_172,X_173)
| empty_set = set_difference(X_172,set_union2(X_172,X_173)) ),
introduced(tautology,[equality,[$cnf( $equal(empty_set,set_difference(X_172,set_union2(X_173,X_172))) ),[1,1],$fot(set_union2(X_172,X_173))]]) ).
cnf(refute_0_411,plain,
( empty_set != set_difference(X_172,set_union2(X_173,X_172))
| empty_set = set_difference(X_172,set_union2(X_172,X_173)) ),
inference(resolve,[$cnf( $equal(set_union2(X_173,X_172),set_union2(X_172,X_173)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
empty_set = set_difference(X_172,set_union2(X_172,X_173)),
inference(resolve,[$cnf( $equal(empty_set,set_difference(X_172,set_union2(X_173,X_172))) )],[refute_0_406,refute_0_411]) ).
cnf(refute_0_413,plain,
( empty_set != set_difference(X_172,set_union2(X_172,X_173))
| set_difference(X_172,set_union2(X_172,X_173)) = empty_set ),
inference(subst,[],[refute_0_17:[bind(X,$fot(empty_set)),bind(Y,$fot(set_difference(X_172,set_union2(X_172,X_173))))]]) ).
cnf(refute_0_414,plain,
set_difference(X_172,set_union2(X_172,X_173)) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_difference(X_172,set_union2(X_172,X_173))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
set_difference(X_32,set_union2(X_32,X_50)) = empty_set,
inference(subst,[],[refute_0_414:[bind(X_172,$fot(X_32)),bind(X_173,$fot(X_50))]]) ).
cnf(refute_0_416,plain,
( set_difference(X_32,set_union2(X_32,X_50)) != empty_set
| ~ subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_intersection2(X_32,set_difference(X_50,X_32)),empty_set) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50))) ),[1],$fot(empty_set)]]) ).
cnf(refute_0_417,plain,
( ~ subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50)))
| subset(set_intersection2(X_32,set_difference(X_50,X_32)),empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(X_32,set_union2(X_32,X_50)),empty_set) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
subset(set_intersection2(X_32,set_difference(X_50,X_32)),empty_set),
inference(resolve,[$cnf( subset(set_intersection2(X_32,set_difference(X_50,X_32)),set_difference(X_32,set_union2(X_32,X_50))) )],[refute_0_405,refute_0_417]) ).
cnf(refute_0_419,plain,
subset(set_intersection2(X_174,set_difference(X_175,X_174)),empty_set),
inference(subst,[],[refute_0_418:[bind(X_32,$fot(X_174)),bind(X_50,$fot(X_175))]]) ).
cnf(refute_0_420,plain,
set_intersection2(X_174,set_difference(X_175,X_174)) = empty_set,
inference(resolve,[$cnf( subset(set_intersection2(X_174,set_difference(X_175,X_174)),empty_set) )],[refute_0_419,refute_0_384]) ).
cnf(refute_0_421,plain,
set_intersection2(X_202,set_difference(X_175,X_202)) = empty_set,
inference(subst,[],[refute_0_420:[bind(X_174,$fot(X_202))]]) ).
cnf(refute_0_422,plain,
( empty_set != empty_set
| set_intersection2(X_202,set_difference(X_175,X_202)) != empty_set
| set_intersection2(X_202,set_difference(X_175,X_202)) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(X_202,set_difference(X_175,X_202)),empty_set) ),[1],$fot(empty_set)]]) ).
cnf(refute_0_423,plain,
( empty_set != empty_set
| set_intersection2(X_202,set_difference(X_175,X_202)) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(X_202,set_difference(X_175,X_202)),empty_set) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
( empty_set != empty_set
| disjoint(X_202,set_difference(X_175,X_202)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_202,set_difference(X_175,X_202)),empty_set) )],[refute_0_423,refute_0_382]) ).
cnf(refute_0_425,plain,
empty_set = empty_set,
introduced(tautology,[refl,[$fot(empty_set)]]) ).
cnf(refute_0_426,plain,
disjoint(X_202,set_difference(X_175,X_202)),
inference(resolve,[$cnf( $equal(empty_set,empty_set) )],[refute_0_425,refute_0_424]) ).
cnf(refute_0_427,plain,
disjoint(set_difference(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))),
inference(subst,[],[refute_0_426:[bind(X_175,$fot(set_intersection2(X_130,X_131))),bind(X_202,$fot(set_difference(X_131,X_130)))]]) ).
cnf(refute_0_428,plain,
set_difference(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_difference(X_131,X_130)) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)),
inference(subst,[],[refute_0_105:[bind(X_40,$fot(set_intersection2(X_130,X_131))),bind(X_41,$fot(set_difference(X_131,X_130)))]]) ).
cnf(refute_0_429,plain,
set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)) = set_union2(X_131,set_difference(X_131,X_130)),
inference(subst,[],[refute_0_31:[bind(X_124,$fot(X_130)),bind(X_125,$fot(X_131))]]) ).
cnf(refute_0_430,plain,
( set_difference(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_difference(X_131,X_130)) != set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))
| set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)) != set_union2(X_131,set_difference(X_131,X_130))
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_difference(X_131,X_130)),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) ),[0,0],$fot(set_union2(X_131,set_difference(X_131,X_130)))]]) ).
cnf(refute_0_431,plain,
( set_difference(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_difference(X_131,X_130)) != set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_union2(X_131,set_difference(X_131,X_130))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_difference(X_131,X_130),set_intersection2(X_130,X_131)),set_difference(X_131,X_130)),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
set_difference(X_131,set_difference(X_131,X_130)) = set_intersection2(X_131,X_130),
inference(subst,[],[refute_0_9:[bind(A,$fot(X_131)),bind(B,$fot(X_130))]]) ).
cnf(refute_0_434,plain,
set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_difference(X_131,set_difference(X_131,X_130)),
inference(subst,[],[refute_0_87:[bind(A,$fot(X_131)),bind(B,$fot(set_difference(X_131,X_130)))]]) ).
cnf(refute_0_435,plain,
( set_difference(X_131,set_difference(X_131,X_130)) != set_intersection2(X_131,X_130)
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) != set_difference(X_131,set_difference(X_131,X_130))
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_intersection2(X_131,X_130) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)))),bind(Y,$fot(set_difference(X_131,set_difference(X_131,X_130)))),bind(Z,$fot(set_intersection2(X_131,X_130)))]]) ).
cnf(refute_0_436,plain,
( set_difference(X_131,set_difference(X_131,X_130)) != set_intersection2(X_131,X_130)
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_intersection2(X_131,X_130) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)),set_difference(X_131,set_difference(X_131,X_130))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) = set_intersection2(X_131,X_130),
inference(resolve,[$cnf( $equal(set_difference(X_131,set_difference(X_131,X_130)),set_intersection2(X_131,X_130)) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) != set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))
| set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) != set_intersection2(X_131,X_130)
| set_intersection2(X_131,X_130) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) ),[0],$fot(set_intersection2(X_131,X_130))]]) ).
cnf(refute_0_439,plain,
( set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)) != set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))
| set_intersection2(X_131,X_130) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)),set_intersection2(X_131,X_130)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
set_intersection2(X_131,X_130) = set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_131,set_difference(X_131,X_130)),set_difference(X_131,X_130)),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) )],[refute_0_432,refute_0_439]) ).
cnf(refute_0_441,plain,
( set_intersection2(X_131,X_130) != set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))
| set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) = set_intersection2(X_131,X_130) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_131,X_130))),bind(Y,$fot(set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))))]]) ).
cnf(refute_0_442,plain,
set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) = set_intersection2(X_131,X_130),
inference(resolve,[$cnf( $equal(set_intersection2(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)) != set_intersection2(X_131,X_130)
| ~ disjoint(set_difference(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)))
| disjoint(set_difference(X_131,X_130),set_intersection2(X_131,X_130)) ),
introduced(tautology,[equality,[$cnf( disjoint(set_difference(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) ),[1],$fot(set_intersection2(X_131,X_130))]]) ).
cnf(refute_0_444,plain,
( ~ disjoint(set_difference(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)))
| disjoint(set_difference(X_131,X_130),set_intersection2(X_131,X_130)) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130)),set_intersection2(X_131,X_130)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
disjoint(set_difference(X_131,X_130),set_intersection2(X_131,X_130)),
inference(resolve,[$cnf( disjoint(set_difference(X_131,X_130),set_difference(set_intersection2(X_130,X_131),set_difference(X_131,X_130))) )],[refute_0_427,refute_0_444]) ).
cnf(refute_0_446,plain,
disjoint(set_difference(X_207,X_206),set_intersection2(X_207,X_206)),
inference(subst,[],[refute_0_445:[bind(X_130,$fot(X_206)),bind(X_131,$fot(X_207))]]) ).
cnf(refute_0_447,plain,
set_intersection2(X_206,X_207) = set_intersection2(X_207,X_206),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_206)),bind(B,$fot(X_207))]]) ).
cnf(refute_0_448,plain,
( set_intersection2(X_206,X_207) != set_intersection2(X_207,X_206)
| set_intersection2(X_207,X_206) = set_intersection2(X_206,X_207) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_206,X_207))),bind(Y,$fot(set_intersection2(X_207,X_206)))]]) ).
cnf(refute_0_449,plain,
set_intersection2(X_207,X_206) = set_intersection2(X_206,X_207),
inference(resolve,[$cnf( $equal(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( set_intersection2(X_207,X_206) != set_intersection2(X_206,X_207)
| ~ disjoint(set_difference(X_207,X_206),set_intersection2(X_207,X_206))
| disjoint(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) ),
introduced(tautology,[equality,[$cnf( disjoint(set_difference(X_207,X_206),set_intersection2(X_207,X_206)) ),[1],$fot(set_intersection2(X_206,X_207))]]) ).
cnf(refute_0_451,plain,
( ~ disjoint(set_difference(X_207,X_206),set_intersection2(X_207,X_206))
| disjoint(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_207,X_206),set_intersection2(X_206,X_207)) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
disjoint(set_difference(X_207,X_206),set_intersection2(X_206,X_207)),
inference(resolve,[$cnf( disjoint(set_difference(X_207,X_206),set_intersection2(X_207,X_206)) )],[refute_0_446,refute_0_451]) ).
cnf(refute_0_453,plain,
( ~ disjoint(A,B)
| set_intersection2(A,B) = empty_set ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_454,plain,
( ~ disjoint(set_difference(X_207,X_206),set_intersection2(X_206,X_207))
| set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) = empty_set ),
inference(subst,[],[refute_0_453:[bind(A,$fot(set_difference(X_207,X_206))),bind(B,$fot(set_intersection2(X_206,X_207)))]]) ).
cnf(refute_0_455,plain,
set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) = empty_set,
inference(resolve,[$cnf( disjoint(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) )],[refute_0_452,refute_0_454]) ).
cnf(refute_0_456,plain,
set_difference(set_intersection2(X_154,X_155),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) = set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)),
inference(subst,[],[refute_0_9:[bind(A,$fot(set_intersection2(X_154,X_155))),bind(B,$fot(set_difference(X_155,X_154)))]]) ).
cnf(refute_0_457,plain,
set_intersection2(X_155,X_154) = set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154)),
inference(subst,[],[refute_0_440:[bind(X_130,$fot(X_154)),bind(X_131,$fot(X_155))]]) ).
cnf(refute_0_458,plain,
( set_intersection2(X_155,X_154) != set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))
| set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) = set_intersection2(X_155,X_154) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_155,X_154))),bind(Y,$fot(set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))))]]) ).
cnf(refute_0_459,plain,
set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) = set_intersection2(X_155,X_154),
inference(resolve,[$cnf( $equal(set_intersection2(X_155,X_154),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) != set_intersection2(X_155,X_154)
| set_difference(set_intersection2(X_154,X_155),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) != set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))
| set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_intersection2(X_154,X_155),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))),set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) ),[0,1],$fot(set_intersection2(X_155,X_154))]]) ).
cnf(refute_0_461,plain,
( set_difference(set_intersection2(X_154,X_155),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) != set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))
| set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154)),set_intersection2(X_155,X_154)) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,X_155),set_difference(set_intersection2(X_154,X_155),set_difference(X_155,X_154))),set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) )],[refute_0_456,refute_0_461]) ).
cnf(refute_0_463,plain,
set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) = set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)),
inference(subst,[],[refute_0_93:[bind(A,$fot(set_difference(X_155,X_154))),bind(B,$fot(set_intersection2(X_154,X_155)))]]) ).
cnf(refute_0_464,plain,
( set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) != set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))
| set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)) != set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))
| set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)),set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))) ),[0],$fot(set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)))]]) ).
cnf(refute_0_465,plain,
( set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) != set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))
| set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154)),set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) = set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)),set_intersection2(set_intersection2(X_154,X_155),set_difference(X_155,X_154))) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) != set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))
| set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)) = set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)))),bind(Y,$fot(set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))))]]) ).
cnf(refute_0_468,plain,
set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155)) = set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,X_155),set_intersection2(X_155,X_154)),set_intersection2(set_difference(X_155,X_154),set_intersection2(X_154,X_155))) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) = set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)),
inference(subst,[],[refute_0_468:[bind(X_154,$fot(X_206)),bind(X_155,$fot(X_207))]]) ).
cnf(refute_0_470,plain,
( set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) != empty_set
| set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) != set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206))
| set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)),empty_set) ),[0],$fot(set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)))]]) ).
cnf(refute_0_471,plain,
( set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)) != empty_set
| set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)),set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
set_difference(set_intersection2(X_206,X_207),set_intersection2(X_207,X_206)) = empty_set,
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(X_207,X_206),set_intersection2(X_206,X_207)),empty_set) )],[refute_0_455,refute_0_471]) ).
cnf(refute_0_473,plain,
set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)) = empty_set,
inference(subst,[],[refute_0_472:[bind(X_206,$fot(X_232)),bind(X_207,$fot(X_233))]]) ).
cnf(refute_0_474,plain,
( set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)) != empty_set
| set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))) != set_intersection2(X_233,X_232)
| set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) = set_intersection2(X_233,X_232) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))),set_intersection2(X_233,X_232)) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_475,plain,
( set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))) != set_intersection2(X_233,X_232)
| set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) = set_intersection2(X_233,X_232) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) = set_intersection2(X_233,X_232),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),set_difference(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))),set_intersection2(X_233,X_232)) )],[refute_0_380,refute_0_475]) ).
cnf(refute_0_477,plain,
set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) = set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),
inference(subst,[],[refute_0_163:[bind(A,$fot(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))))]]) ).
cnf(refute_0_478,plain,
( set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) != set_intersection2(X_233,X_232)
| set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) != set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))
| set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)) = set_intersection2(X_233,X_232) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set),set_intersection2(X_233,X_232)) ),[0],$fot(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)))]]) ).
cnf(refute_0_479,plain,
( set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set) != set_intersection2(X_233,X_232)
| set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)) = set_intersection2(X_233,X_232) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set),set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)) = set_intersection2(X_233,X_232),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_intersection2(X_232,X_233),set_intersection2(X_233,X_232)),empty_set),set_intersection2(X_233,X_232)) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) = set_intersection2(X_34,X_158),
inference(subst,[],[refute_0_480:[bind(X_232,$fot(X_158)),bind(X_233,$fot(X_34))]]) ).
cnf(refute_0_482,plain,
set_intersection2(set_intersection2(X_34,X_154),X_154) = set_difference(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_34,X_154),X_154)),
inference(subst,[],[refute_0_440:[bind(X_130,$fot(X_154)),bind(X_131,$fot(set_intersection2(X_34,X_154)))]]) ).
cnf(refute_0_483,plain,
set_intersection2(X_154,set_intersection2(X_154,X_34)) = set_intersection2(X_154,set_intersection2(X_34,X_154)),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_154))]]) ).
cnf(refute_0_484,plain,
( set_intersection2(X_154,set_intersection2(X_154,X_34)) != set_intersection2(X_154,set_intersection2(X_34,X_154))
| set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_intersection2(X_154,set_intersection2(X_154,X_34)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_154,set_intersection2(X_154,X_34)))),bind(Y,$fot(set_intersection2(X_154,set_intersection2(X_34,X_154))))]]) ).
cnf(refute_0_485,plain,
set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_intersection2(X_154,set_intersection2(X_154,X_34)),
inference(resolve,[$cnf( $equal(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_intersection2(X_154,set_intersection2(X_34,X_154))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
( set_intersection2(X_154,set_intersection2(X_34,X_154)) != set_intersection2(X_154,set_intersection2(X_154,X_34))
| set_intersection2(set_intersection2(X_34,X_154),X_154) != set_difference(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(set_intersection2(X_34,X_154),X_154) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_intersection2(X_34,X_154),X_154),set_difference(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_34,X_154),X_154))) ),[1,0],$fot(set_intersection2(X_154,set_intersection2(X_154,X_34)))]]) ).
cnf(refute_0_487,plain,
( set_intersection2(set_intersection2(X_34,X_154),X_154) != set_difference(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(set_intersection2(X_34,X_154),X_154) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_intersection2(X_154,set_intersection2(X_154,X_34))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
set_intersection2(set_intersection2(X_34,X_154),X_154) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_34,X_154),X_154),set_difference(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_482,refute_0_487]) ).
cnf(refute_0_489,plain,
set_intersection2(set_intersection2(X_34,X_154),X_154) = set_intersection2(X_154,set_intersection2(X_34,X_154)),
inference(subst,[],[refute_0_93:[bind(A,$fot(X_154)),bind(B,$fot(set_intersection2(X_34,X_154)))]]) ).
cnf(refute_0_490,plain,
( set_intersection2(set_intersection2(X_34,X_154),X_154) != set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(set_intersection2(X_34,X_154),X_154) != set_intersection2(X_154,set_intersection2(X_34,X_154))
| set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_intersection2(X_34,X_154),X_154),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) ),[0],$fot(set_intersection2(X_154,set_intersection2(X_34,X_154)))]]) ).
cnf(refute_0_491,plain,
( set_intersection2(set_intersection2(X_34,X_154),X_154) != set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_34,X_154),X_154),set_intersection2(X_154,set_intersection2(X_34,X_154))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_34,X_154),X_154),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
set_difference(set_intersection2(X_34,X_154),empty_set) = set_intersection2(X_34,X_154),
inference(subst,[],[refute_0_163:[bind(A,$fot(set_intersection2(X_34,X_154)))]]) ).
cnf(refute_0_494,plain,
subset(set_intersection2(B,X_263),X_263),
inference(subst,[],[refute_0_387:[bind(A,$fot(X_263))]]) ).
cnf(refute_0_495,plain,
( ~ subset(set_intersection2(B,X_263),X_263)
| set_difference(set_intersection2(B,X_263),X_263) = empty_set ),
inference(subst,[],[refute_0_34:[bind(A,$fot(set_intersection2(B,X_263))),bind(B,$fot(X_263))]]) ).
cnf(refute_0_496,plain,
set_difference(set_intersection2(B,X_263),X_263) = empty_set,
inference(resolve,[$cnf( subset(set_intersection2(B,X_263),X_263) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
set_difference(set_intersection2(X_34,X_154),X_154) = empty_set,
inference(subst,[],[refute_0_496:[bind(B,$fot(X_34)),bind(X_263,$fot(X_154))]]) ).
cnf(refute_0_498,plain,
set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)),
introduced(tautology,[refl,[$fot(set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)))]]) ).
cnf(refute_0_499,plain,
( set_difference(set_intersection2(X_34,X_154),X_154) != empty_set
| set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154))
| set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_500,plain,
( set_difference(set_intersection2(X_34,X_154),X_154) != empty_set
| set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_154),X_154),empty_set) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(subst,[],[refute_0_62:[bind(X_24,$fot(X_158)),bind(X_39,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_503,plain,
( set_intersection2(X_158,set_intersection2(X_158,X_34)) != set_intersection2(X_158,set_intersection2(X_34,X_158))
| set_intersection2(X_158,set_intersection2(X_34,X_158)) = set_intersection2(X_158,set_intersection2(X_158,X_34)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_158,set_intersection2(X_158,X_34)))),bind(Y,$fot(set_intersection2(X_158,set_intersection2(X_34,X_158))))]]) ).
cnf(refute_0_504,plain,
set_intersection2(X_158,set_intersection2(X_34,X_158)) = set_intersection2(X_158,set_intersection2(X_158,X_34)),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_intersection2(X_158,set_intersection2(X_34,X_158))) )],[refute_0_73,refute_0_503]) ).
cnf(refute_0_505,plain,
( set_intersection2(X_158,set_intersection2(X_34,X_158)) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),[0,0],$fot(set_intersection2(X_158,set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_506,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_intersection2(X_158,set_intersection2(X_158,X_34))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_502,refute_0_506]) ).
cnf(refute_0_508,plain,
( set_difference(A,set_intersection2(X_24,A)) != set_difference(A,set_intersection2(A,X_24))
| set_difference(A,set_intersection2(A,X_24)) = set_difference(A,set_intersection2(X_24,A)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_difference(A,set_intersection2(X_24,A)))),bind(Y,$fot(set_difference(A,set_intersection2(A,X_24))))]]) ).
cnf(refute_0_509,plain,
set_difference(A,set_intersection2(A,X_24)) = set_difference(A,set_intersection2(X_24,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(X_24,A)),set_difference(A,set_intersection2(A,X_24))) )],[refute_0_54,refute_0_508]) ).
cnf(refute_0_510,plain,
set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)) = set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(subst,[],[refute_0_509:[bind(A,$fot(set_intersection2(X_34,X_158))),bind(X_24,$fot(X_158))]]) ).
cnf(refute_0_511,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))))]]) ).
cnf(refute_0_512,plain,
( set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)) != set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)))) ),[1,1],$fot(set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))]]) ).
cnf(refute_0_513,plain,
( set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)) != set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),[0],$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))))]]) ).
cnf(refute_0_516,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(set_intersection2(X_34,X_158),X_158))),set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_507,refute_0_516]) ).
cnf(refute_0_518,plain,
set_union2(empty_set,set_intersection2(X_34,X_158)) = set_intersection2(X_34,X_158),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_519,plain,
set_union2(set_intersection2(X_34,X_158),empty_set) = set_union2(empty_set,set_intersection2(X_34,X_158)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_520,plain,
( set_union2(empty_set,set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),empty_set) != set_union2(empty_set,set_intersection2(X_34,X_158))
| set_union2(set_intersection2(X_34,X_158),empty_set) = set_intersection2(X_34,X_158) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_34,X_158),empty_set))),bind(Y,$fot(set_union2(empty_set,set_intersection2(X_34,X_158)))),bind(Z,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_521,plain,
( set_union2(empty_set,set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),empty_set) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),empty_set),set_union2(empty_set,set_intersection2(X_34,X_158))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
set_union2(set_intersection2(X_34,X_158),empty_set) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(X_34,X_158)),set_intersection2(X_34,X_158)) )],[refute_0_518,refute_0_521]) ).
cnf(refute_0_523,plain,
set_difference(set_intersection2(X_34,X_158),X_158) = empty_set,
inference(subst,[],[refute_0_496:[bind(B,$fot(X_34)),bind(X_263,$fot(X_158))]]) ).
cnf(refute_0_524,plain,
set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)))]]) ).
cnf(refute_0_525,plain,
( set_difference(set_intersection2(X_34,X_158),X_158) != empty_set
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) != set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158))
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_union2(set_intersection2(X_34,X_158),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_526,plain,
( set_difference(set_intersection2(X_34,X_158),X_158) != empty_set
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_union2(set_intersection2(X_34,X_158),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_union2(set_intersection2(X_34,X_158),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_158),X_158),empty_set) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
( set_union2(set_intersection2(X_34,X_158),empty_set) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) != set_union2(set_intersection2(X_34,X_158),empty_set)
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_intersection2(X_34,X_158) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)))),bind(Y,$fot(set_union2(set_intersection2(X_34,X_158),empty_set))),bind(Z,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_529,plain,
( set_union2(set_intersection2(X_34,X_158),empty_set) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),set_union2(set_intersection2(X_34,X_158),empty_set)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),empty_set),set_intersection2(X_34,X_158)) )],[refute_0_522,refute_0_529]) ).
cnf(refute_0_531,plain,
set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),
inference(subst,[],[refute_0_331:[bind(X_24,$fot(X_158)),bind(X_39,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_532,plain,
( set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158))
| set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))),bind(Y,$fot(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)))),bind(Z,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_533,plain,
( set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_difference(set_intersection2(X_34,X_158),X_158)),set_intersection2(X_34,X_158)) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_34,X_158) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_intersection2(X_34,X_158)) ),[0],$fot(set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))]]) ).
cnf(refute_0_536,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_intersection2(X_34,X_158)) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_union2(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_517,refute_0_536]) ).
cnf(refute_0_538,plain,
set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))) = set_intersection2(X_158,set_intersection2(X_158,X_34)),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_intersection2(X_158,set_intersection2(X_158,X_34))))]]) ).
cnf(refute_0_539,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) = set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_intersection2(X_158,set_intersection2(X_158,X_34))))]]) ).
cnf(refute_0_540,plain,
( set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) != set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34)))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) = set_intersection2(X_158,set_intersection2(X_158,X_34)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set))),bind(Y,$fot(set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))))),bind(Z,$fot(set_intersection2(X_158,set_intersection2(X_158,X_34))))]]) ).
cnf(refute_0_541,plain,
( set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) = set_intersection2(X_158,set_intersection2(X_158,X_34)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set),set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34)))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) = set_intersection2(X_158,set_intersection2(X_158,X_34)),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(X_158,set_intersection2(X_158,X_34))),set_intersection2(X_158,set_intersection2(X_158,X_34))) )],[refute_0_538,refute_0_541]) ).
cnf(refute_0_543,plain,
set_difference(A,set_intersection2(A,X_24)) = set_difference(A,X_24),
inference(subst,[],[refute_0_318:[bind(X_130,$fot(A))]]) ).
cnf(refute_0_544,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_difference(A,X_24)
| set_difference(A,set_intersection2(X_24,A)) != set_difference(A,set_intersection2(A,X_24))
| set_difference(A,set_intersection2(X_24,A)) = set_difference(A,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_intersection2(X_24,A)),set_difference(A,set_intersection2(A,X_24))) ),[1],$fot(set_difference(A,X_24))]]) ).
cnf(refute_0_545,plain,
( set_difference(A,set_intersection2(X_24,A)) != set_difference(A,set_intersection2(A,X_24))
| set_difference(A,set_intersection2(X_24,A)) = set_difference(A,X_24) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_difference(A,X_24)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
set_difference(A,set_intersection2(X_24,A)) = set_difference(A,X_24),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(X_24,A)),set_difference(A,set_intersection2(A,X_24))) )],[refute_0_54,refute_0_545]) ).
cnf(refute_0_547,plain,
set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_difference(set_intersection2(X_34,X_158),X_158),
inference(subst,[],[refute_0_546:[bind(A,$fot(set_intersection2(X_34,X_158))),bind(X_24,$fot(X_158))]]) ).
cnf(refute_0_548,plain,
( set_difference(set_intersection2(X_34,X_158),X_158) != empty_set
| set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_difference(set_intersection2(X_34,X_158),X_158)
| set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = empty_set ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))),bind(Y,$fot(set_difference(set_intersection2(X_34,X_158),X_158))),bind(Z,$fot(empty_set))]]) ).
cnf(refute_0_549,plain,
( set_difference(set_intersection2(X_34,X_158),X_158) != empty_set
| set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = empty_set ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_difference(set_intersection2(X_34,X_158),X_158)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_158),X_158),empty_set) )],[refute_0_523,refute_0_549]) ).
cnf(refute_0_551,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))))]]) ).
cnf(refute_0_552,plain,
( set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) != empty_set
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_553,plain,
( set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))) != empty_set
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158))),empty_set) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set)
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_158,set_intersection2(X_158,X_34)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))))),bind(Y,$fot(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set))),bind(Z,$fot(set_intersection2(X_158,set_intersection2(X_158,X_34))))]]) ).
cnf(refute_0_556,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_158,set_intersection2(X_158,X_34)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) = set_intersection2(X_158,set_intersection2(X_158,X_34)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),empty_set),set_intersection2(X_158,set_intersection2(X_158,X_34))) )],[refute_0_542,refute_0_556]) ).
cnf(refute_0_558,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_intersection2(X_158,set_intersection2(X_158,X_34))
| set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_intersection2(X_34,X_158)
| set_intersection2(X_158,set_intersection2(X_158,X_34)) = set_intersection2(X_34,X_158) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_intersection2(X_34,X_158)) ),[0],$fot(set_intersection2(X_158,set_intersection2(X_158,X_34)))]]) ).
cnf(refute_0_559,plain,
( set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))) != set_intersection2(X_34,X_158)
| set_intersection2(X_158,set_intersection2(X_158,X_34)) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_intersection2(X_158,set_intersection2(X_158,X_34))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
set_intersection2(X_158,set_intersection2(X_158,X_34)) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,set_intersection2(X_158,X_34)),set_difference(set_intersection2(X_34,X_158),set_intersection2(X_158,set_intersection2(X_34,X_158)))),set_intersection2(X_34,X_158)) )],[refute_0_537,refute_0_559]) ).
cnf(refute_0_561,plain,
set_intersection2(X_154,set_intersection2(X_154,X_34)) = set_intersection2(X_34,X_154),
inference(subst,[],[refute_0_560:[bind(X_158,$fot(X_154))]]) ).
cnf(refute_0_562,plain,
set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),
introduced(tautology,[refl,[$fot(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)))]]) ).
cnf(refute_0_563,plain,
( set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(X_154,set_intersection2(X_154,X_34)) != set_intersection2(X_34,X_154)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) ),[1,0],$fot(set_intersection2(X_34,X_154))]]) ).
cnf(refute_0_564,plain,
( set_intersection2(X_154,set_intersection2(X_154,X_34)) != set_intersection2(X_34,X_154)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)),
inference(resolve,[$cnf( $equal(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_intersection2(X_34,X_154)) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154))
| set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_34,X_154),empty_set)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)))),bind(Y,$fot(set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)))),bind(Z,$fot(set_difference(set_intersection2(X_34,X_154),empty_set)))]]) ).
cnf(refute_0_567,plain,
( set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_34,X_154),empty_set)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_difference(set_intersection2(X_34,X_154),empty_set),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_154),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_34,X_154),empty_set)) )],[refute_0_501,refute_0_567]) ).
cnf(refute_0_569,plain,
( set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) != set_difference(set_intersection2(X_34,X_154),empty_set)
| set_difference(set_intersection2(X_34,X_154),empty_set) != set_intersection2(X_34,X_154)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_intersection2(X_34,X_154) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)))),bind(Y,$fot(set_difference(set_intersection2(X_34,X_154),empty_set))),bind(Z,$fot(set_intersection2(X_34,X_154)))]]) ).
cnf(refute_0_570,plain,
( set_difference(set_intersection2(X_34,X_154),empty_set) != set_intersection2(X_34,X_154)
| set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_intersection2(X_34,X_154) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),set_difference(set_intersection2(X_34,X_154),empty_set)) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) = set_intersection2(X_34,X_154),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_34,X_154),empty_set),set_intersection2(X_34,X_154)) )],[refute_0_493,refute_0_570]) ).
cnf(refute_0_572,plain,
( set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)) != set_intersection2(X_34,X_154)
| set_intersection2(X_154,set_intersection2(X_34,X_154)) != set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_intersection2(X_34,X_154) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) ),[1],$fot(set_intersection2(X_34,X_154))]]) ).
cnf(refute_0_573,plain,
( set_intersection2(X_154,set_intersection2(X_34,X_154)) != set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))
| set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_intersection2(X_34,X_154) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154)),set_intersection2(X_34,X_154)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
set_intersection2(X_154,set_intersection2(X_34,X_154)) = set_intersection2(X_34,X_154),
inference(resolve,[$cnf( $equal(set_intersection2(X_154,set_intersection2(X_34,X_154)),set_difference(set_intersection2(X_154,set_intersection2(X_154,X_34)),set_difference(set_intersection2(X_34,X_154),X_154))) )],[refute_0_492,refute_0_573]) ).
cnf(refute_0_575,plain,
set_intersection2(X_158,set_intersection2(X_34,X_158)) = set_intersection2(X_34,X_158),
inference(subst,[],[refute_0_574:[bind(X_154,$fot(X_158))]]) ).
cnf(refute_0_576,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))))]]) ).
cnf(refute_0_577,plain,
( set_intersection2(X_158,set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) ),[1,1],$fot(set_intersection2(X_34,X_158))]]) ).
cnf(refute_0_578,plain,
( set_intersection2(X_158,set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,set_intersection2(X_34,X_158)),set_intersection2(X_34,X_158)) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
( set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))))),bind(Y,$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)))),bind(Z,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_581,plain,
( set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) != set_intersection2(X_34,X_158)
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)),set_intersection2(X_34,X_158)) )],[refute_0_481,refute_0_581]) ).
cnf(refute_0_583,plain,
( set_intersection2(X_158,X_34) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))) != set_intersection2(X_34,X_158)
| set_intersection2(X_158,X_34) = set_intersection2(X_34,X_158) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) ),[0],$fot(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))))]]) ).
cnf(refute_0_584,plain,
( set_intersection2(X_158,X_34) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_intersection2(X_158,X_34) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158))),set_intersection2(X_34,X_158)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
( set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))) != set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))
| set_intersection2(X_158,X_34) = set_intersection2(X_34,X_158) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,X_34),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_337,refute_0_584]) ).
cnf(refute_0_586,plain,
set_intersection2(X_158,X_34) = set_intersection2(X_34,X_158),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_158,X_34))),set_union2(set_intersection2(X_158,X_34),set_intersection2(X_158,set_intersection2(X_34,X_158)))) )],[refute_0_79,refute_0_585]) ).
cnf(refute_0_587,plain,
( set_intersection2(X_158,X_34) != set_intersection2(X_34,X_158)
| set_intersection2(X_34,X_158) = set_intersection2(X_158,X_34) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(set_intersection2(X_158,X_34))),bind(Y,$fot(set_intersection2(X_34,X_158)))]]) ).
cnf(refute_0_588,plain,
set_intersection2(X_34,X_158) = set_intersection2(X_158,X_34),
inference(resolve,[$cnf( $equal(set_intersection2(X_158,X_34),set_intersection2(X_34,X_158)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_588:[bind(X_158,$fot(skolemFOFtoCNF_A_2)),bind(X_34,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_590,plain,
set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)))]]) ).
cnf(refute_0_591,plain,
( set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)))),bind(Y,$fot(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2))),bind(Z,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_592,plain,
( set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) ),[0],$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_595,plain,
( set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
set_union2(empty_set,skolemFOFtoCNF_A_2) = skolemFOFtoCNF_A_2,
inference(subst,[],[refute_0_84:[bind(A,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_597,plain,
set_union2(skolemFOFtoCNF_A_2,empty_set) = set_union2(empty_set,skolemFOFtoCNF_A_2),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_598,plain,
( set_union2(empty_set,skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,empty_set) != set_union2(empty_set,skolemFOFtoCNF_A_2)
| set_union2(skolemFOFtoCNF_A_2,empty_set) = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(skolemFOFtoCNF_A_2,empty_set))),bind(Y,$fot(set_union2(empty_set,skolemFOFtoCNF_A_2))),bind(Z,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_599,plain,
( set_union2(empty_set,skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,empty_set) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,empty_set),set_union2(empty_set,skolemFOFtoCNF_A_2)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
set_union2(skolemFOFtoCNF_A_2,empty_set) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(empty_set,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),
introduced(tautology,[refl,[$fot(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_602,plain,
( set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != empty_set
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = set_union2(skolemFOFtoCNF_A_2,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) ),[1,1],$fot(empty_set)]]) ).
cnf(refute_0_603,plain,
( set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != empty_set
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = set_union2(skolemFOFtoCNF_A_2,empty_set) ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = set_union2(skolemFOFtoCNF_A_2,empty_set),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) )],[refute_0_36,refute_0_603]) ).
cnf(refute_0_605,plain,
( set_union2(skolemFOFtoCNF_A_2,empty_set) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) != set_union2(skolemFOFtoCNF_A_2,empty_set)
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)))),bind(Y,$fot(set_union2(skolemFOFtoCNF_A_2,empty_set))),bind(Z,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_606,plain,
( set_union2(skolemFOFtoCNF_A_2,empty_set) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),set_union2(skolemFOFtoCNF_A_2,empty_set)) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,empty_set),skolemFOFtoCNF_A_2) )],[refute_0_600,refute_0_606]) ).
cnf(refute_0_608,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) != skolemFOFtoCNF_A_2
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) ),[0],$fot(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_609,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),skolemFOFtoCNF_A_2) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
( set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)) != set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) )],[refute_0_595,refute_0_609]) ).
cnf(refute_0_611,plain,
set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)),set_union2(skolemFOFtoCNF_A_2,set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))) )],[refute_0_39,refute_0_610]) ).
cnf(refute_0_612,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_A_2
| ~ in(X_336,skolemFOFtoCNF_A_2)
| in(X_336,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
introduced(tautology,[equality,[$cnf( ~ in(X_336,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),[1],$fot(skolemFOFtoCNF_A_2)]]) ).
cnf(refute_0_613,plain,
( ~ in(X_336,skolemFOFtoCNF_A_2)
| in(X_336,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
( ~ in(X_336,skolemFOFtoCNF_A_2)
| in(X_336,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( in(X_336,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) )],[refute_0_613,refute_0_6]) ).
cnf(refute_0_615,plain,
( ~ in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B),skolemFOFtoCNF_A_2)
| in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_614:[bind(X_336,$fot(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B)))]]) ).
cnf(refute_0_616,plain,
( disjoint(skolemFOFtoCNF_A_2,B)
| in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B),skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,B),skolemFOFtoCNF_A_2) )],[refute_0_1,refute_0_615]) ).
cnf(refute_0_617,plain,
( disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4)
| in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_616:[bind(B,$fot(skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_618,plain,
( disjoint(A,B)
| in(skolemFOFtoCNF_C_2(A,B),B) ),
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_619,plain,
( disjoint(A,skolemFOFtoCNF_C_4)
| in(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4),skolemFOFtoCNF_C_4) ),
inference(subst,[],[refute_0_618:[bind(B,$fot(skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_620,plain,
( C != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,C) ),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_621,plain,
( set_difference(A,B) != set_difference(A,B)
| ~ in(D,B)
| ~ in(D,set_difference(A,B)) ),
inference(subst,[],[refute_0_620:[bind(C,$fot(set_difference(A,B)))]]) ).
cnf(refute_0_622,plain,
set_difference(A,B) = set_difference(A,B),
introduced(tautology,[refl,[$fot(set_difference(A,B))]]) ).
cnf(refute_0_623,plain,
( ~ in(D,B)
| ~ in(D,set_difference(A,B)) ),
inference(resolve,[$cnf( $equal(set_difference(A,B),set_difference(A,B)) )],[refute_0_622,refute_0_621]) ).
cnf(refute_0_624,plain,
( ~ in(X_347,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| ~ in(X_347,skolemFOFtoCNF_C_4) ),
inference(subst,[],[refute_0_623:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_4)),bind(D,$fot(X_347))]]) ).
cnf(refute_0_625,plain,
set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),
inference(subst,[],[refute_0_23:[bind(B,$fot(skolemFOFtoCNF_C_4)),bind(X_39,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_626,plain,
disjoint(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_627,plain,
( ~ disjoint(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = empty_set ),
inference(subst,[],[refute_0_453:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_628,plain,
set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = empty_set,
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
( set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) != empty_set
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_630,plain,
( set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) )],[refute_0_625,refute_0_630]) ).
cnf(refute_0_632,plain,
set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) = set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),
inference(subst,[],[refute_0_84:[bind(A,$fot(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_633,plain,
set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(empty_set)),bind(X_40,$fot(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_634,plain,
( set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) != set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) != set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set))),bind(Y,$fot(set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)))),bind(Z,$fot(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_635,plain,
( set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) != set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set),set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) = set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),
inference(resolve,[$cnf( $equal(set_union2(empty_set,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) != set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)
| set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set),set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) ),[0],$fot(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_638,plain,
( set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set),set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),empty_set),set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) )],[refute_0_631,refute_0_638]) ).
cnf(refute_0_640,plain,
set_difference(set_union2(set_difference(B,X_264),B),set_difference(set_difference(B,X_264),B)) = B,
inference(subst,[],[refute_0_379:[bind(X_40,$fot(set_difference(B,X_264)))]]) ).
cnf(refute_0_641,plain,
set_difference(set_difference(B,X_264),B) = empty_set,
inference(subst,[],[refute_0_292:[bind(B,$fot(X_264)),bind(X_263,$fot(B))]]) ).
cnf(refute_0_642,plain,
( set_difference(set_difference(B,X_264),B) != empty_set
| set_difference(set_union2(set_difference(B,X_264),B),set_difference(set_difference(B,X_264),B)) != B
| set_difference(set_union2(set_difference(B,X_264),B),empty_set) = B ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),set_difference(set_difference(B,X_264),B)),B) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_643,plain,
( set_difference(set_union2(set_difference(B,X_264),B),set_difference(set_difference(B,X_264),B)) != B
| set_difference(set_union2(set_difference(B,X_264),B),empty_set) = B ),
inference(resolve,[$cnf( $equal(set_difference(set_difference(B,X_264),B),empty_set) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
set_difference(set_union2(set_difference(B,X_264),B),empty_set) = B,
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),set_difference(set_difference(B,X_264),B)),B) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
set_union2(set_difference(B,X_264),B) = set_union2(B,set_difference(B,X_264)),
inference(subst,[],[refute_0_251:[bind(X_141,$fot(B)),bind(X_40,$fot(set_difference(B,X_264)))]]) ).
cnf(refute_0_646,plain,
set_difference(set_union2(set_difference(B,X_264),B),empty_set) = set_union2(set_difference(B,X_264),B),
inference(subst,[],[refute_0_163:[bind(A,$fot(set_union2(set_difference(B,X_264),B)))]]) ).
cnf(refute_0_647,plain,
( set_difference(set_union2(set_difference(B,X_264),B),empty_set) != set_union2(set_difference(B,X_264),B)
| set_union2(set_difference(B,X_264),B) != set_union2(B,set_difference(B,X_264))
| set_difference(set_union2(set_difference(B,X_264),B),empty_set) = set_union2(B,set_difference(B,X_264)) ),
inference(subst,[],[refute_0_175:[bind(X,$fot(set_difference(set_union2(set_difference(B,X_264),B),empty_set))),bind(Y,$fot(set_union2(set_difference(B,X_264),B))),bind(Z,$fot(set_union2(B,set_difference(B,X_264))))]]) ).
cnf(refute_0_648,plain,
( set_union2(set_difference(B,X_264),B) != set_union2(B,set_difference(B,X_264))
| set_difference(set_union2(set_difference(B,X_264),B),empty_set) = set_union2(B,set_difference(B,X_264)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),empty_set),set_union2(set_difference(B,X_264),B)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
set_difference(set_union2(set_difference(B,X_264),B),empty_set) = set_union2(B,set_difference(B,X_264)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(B,X_264),B),set_union2(B,set_difference(B,X_264))) )],[refute_0_645,refute_0_648]) ).
cnf(refute_0_650,plain,
( set_difference(set_union2(set_difference(B,X_264),B),empty_set) != B
| set_difference(set_union2(set_difference(B,X_264),B),empty_set) != set_union2(B,set_difference(B,X_264))
| set_union2(B,set_difference(B,X_264)) = B ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),empty_set),B) ),[0],$fot(set_union2(B,set_difference(B,X_264)))]]) ).
cnf(refute_0_651,plain,
( set_difference(set_union2(set_difference(B,X_264),B),empty_set) != B
| set_union2(B,set_difference(B,X_264)) = B ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),empty_set),set_union2(B,set_difference(B,X_264))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
set_union2(B,set_difference(B,X_264)) = B,
inference(resolve,[$cnf( $equal(set_difference(set_union2(set_difference(B,X_264),B),empty_set),B) )],[refute_0_644,refute_0_651]) ).
cnf(refute_0_653,plain,
set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) = skolemFOFtoCNF_B_1,
inference(subst,[],[refute_0_652:[bind(B,$fot(skolemFOFtoCNF_B_1)),bind(X_264,$fot(skolemFOFtoCNF_C_4))]]) ).
cnf(refute_0_654,plain,
( set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) != skolemFOFtoCNF_B_1
| set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = skolemFOFtoCNF_B_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1) ),[0],$fot(set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_655,plain,
( set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) != set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))
| set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = skolemFOFtoCNF_B_1 ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)),skolemFOFtoCNF_B_1) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) = skolemFOFtoCNF_B_1,
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),set_union2(skolemFOFtoCNF_B_1,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4))) )],[refute_0_639,refute_0_655]) ).
cnf(refute_0_657,plain,
( set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4) != skolemFOFtoCNF_B_1
| ~ in(X_347,skolemFOFtoCNF_B_1)
| in(X_347,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
introduced(tautology,[equality,[$cnf( ~ in(X_347,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),[1],$fot(skolemFOFtoCNF_B_1)]]) ).
cnf(refute_0_658,plain,
( ~ in(X_347,skolemFOFtoCNF_B_1)
| in(X_347,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
( ~ in(X_347,skolemFOFtoCNF_B_1)
| ~ in(X_347,skolemFOFtoCNF_C_4) ),
inference(resolve,[$cnf( in(X_347,set_difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_4)) )],[refute_0_658,refute_0_624]) ).
cnf(refute_0_660,plain,
( ~ in(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1)
| ~ in(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4),skolemFOFtoCNF_C_4) ),
inference(subst,[],[refute_0_659:[bind(X_347,$fot(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4)))]]) ).
cnf(refute_0_661,plain,
( ~ in(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1)
| disjoint(A,skolemFOFtoCNF_C_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_2(A,skolemFOFtoCNF_C_4),skolemFOFtoCNF_C_4) )],[refute_0_619,refute_0_660]) ).
cnf(refute_0_662,plain,
( ~ in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1)
| disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4) ),
inference(subst,[],[refute_0_661:[bind(A,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_663,plain,
disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),skolemFOFtoCNF_B_1) )],[refute_0_617,refute_0_662]) ).
cnf(refute_0_664,plain,
~ disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_665,plain,
$false,
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C_4) )],[refute_0_663,refute_0_664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n010.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 : Mon Jun 20 09:44:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.91/1.09 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.91/1.09
% 0.91/1.09 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.97/1.15
%------------------------------------------------------------------------------