TSTP Solution File: SEU141+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 12:38:41 EDT 2022
% Result : Theorem 0.49s 0.66s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 69
% Syntax : Number of formulae : 361 ( 200 unt; 0 def)
% Number of atoms : 584 ( 492 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 444 ( 221 ~; 201 |; 10 &)
% ( 7 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 613 ( 30 sgn 113 !; 10 ?)
% 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(d1_xboole_0,axiom,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ) ).
fof(d7_xboole_0,axiom,
! [A,B] :
( disjoint(A,B)
<=> set_intersection2(A,B) = empty_set ) ).
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(t28_xboole_1,lemma,
! [A,B] :
( subset(A,B)
=> set_intersection2(A,B) = 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(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(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(t4_xboole_0,lemma,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] : ~ in(C,set_intersection2(A,B)) )
& ~ ( ? [C] : in(C,set_intersection2(A,B))
& disjoint(A,B) ) ) ).
fof(t7_xboole_1,lemma,
! [A,B] : subset(A,set_union2(A,B)) ).
fof(t83_xboole_1,conjecture,
! [A,B] :
( disjoint(A,B)
<=> set_difference(A,B) = A ) ).
fof(subgoal_0,plain,
! [A,B] :
( disjoint(A,B)
=> set_difference(A,B) = A ),
inference(strip,[],[t83_xboole_1]) ).
fof(subgoal_1,plain,
! [A,B] :
( set_difference(A,B) = A
=> disjoint(A,B) ),
inference(strip,[],[t83_xboole_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( disjoint(A,B)
=> set_difference(A,B) = A ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[t39_xboole_1]) ).
fof(normalize_0_1,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[t48_xboole_1]) ).
fof(normalize_0_3,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[commutativity_k2_xboole_0]) ).
fof(normalize_0_5,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] : subset(A,set_union2(A,B)),
inference(canonicalize,[],[t7_xboole_1]) ).
fof(normalize_0_7,plain,
! [A,B] : subset(A,set_union2(A,B)),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[t28_xboole_1]) ).
fof(normalize_0_9,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[t40_xboole_1]) ).
fof(normalize_0_11,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_13,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A] : set_difference(A,empty_set) = A,
inference(canonicalize,[],[t3_boole]) ).
fof(normalize_0_15,plain,
! [A] : set_difference(A,empty_set) = A,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[t2_boole]) ).
fof(normalize_0_17,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B] : subset(set_difference(A,B),A),
inference(canonicalize,[],[t36_xboole_1]) ).
fof(normalize_0_19,plain,
! [A,B] : subset(set_difference(A,B),A),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(canonicalize,[],[t17_xboole_1]) ).
fof(normalize_0_21,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] : set_union2(A,empty_set) = A,
inference(canonicalize,[],[t1_boole]) ).
fof(normalize_0_23,plain,
! [A] : set_union2(A,empty_set) = A,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
? [A,B] :
( set_difference(A,B) != A
& disjoint(A,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
( set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_A_2
& disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) ),
inference(skolemize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B] :
( set_intersection2(A,B) != empty_set
<=> ~ disjoint(A,B) ),
inference(canonicalize,[],[d7_xboole_0]) ).
fof(normalize_0_28,plain,
! [A,B] :
( set_intersection2(A,B) != empty_set
<=> ~ disjoint(A,B) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,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_28]) ).
fof(normalize_0_30,plain,
! [A,B] :
( ~ disjoint(A,B)
| set_intersection2(A,B) = empty_set ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_A_2,
inference(conjunct,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
set_union2(set_difference(X_40,B),set_difference(X_40,set_difference(X_40,B))) = set_union2(set_difference(X_40,B),X_40),
inference(subst,[],[refute_0_0:[bind(A,$fot(set_difference(X_40,B))),bind(B,$fot(X_40))]]) ).
cnf(refute_0_2,plain,
set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
set_difference(X_40,set_difference(X_40,B)) = set_intersection2(X_40,B),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_40))]]) ).
cnf(refute_0_4,plain,
( set_difference(X_40,set_difference(X_40,B)) != set_intersection2(X_40,B)
| set_union2(set_difference(X_40,B),set_difference(X_40,set_difference(X_40,B))) != set_union2(set_difference(X_40,B),X_40)
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(set_difference(X_40,B),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_40,B),set_difference(X_40,set_difference(X_40,B))),set_union2(set_difference(X_40,B),X_40)) ),[0,1],$fot(set_intersection2(X_40,B))]]) ).
cnf(refute_0_5,plain,
( set_union2(set_difference(X_40,B),set_difference(X_40,set_difference(X_40,B))) != set_union2(set_difference(X_40,B),X_40)
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(set_difference(X_40,B),X_40) ),
inference(resolve,[$cnf( $equal(set_difference(X_40,set_difference(X_40,B)),set_intersection2(X_40,B)) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(set_difference(X_40,B),X_40),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_40,B),set_difference(X_40,set_difference(X_40,B))),set_union2(set_difference(X_40,B),X_40)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_8,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_9,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_10,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( set_union2(A,B) != set_union2(B,A)
| set_union2(B,A) = set_union2(A,B) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_union2(A,B))),bind(Y,$fot(set_union2(B,A)))]]) ).
cnf(refute_0_12,plain,
set_union2(B,A) = set_union2(A,B),
inference(resolve,[$cnf( $equal(set_union2(A,B),set_union2(B,A)) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
set_union2(set_difference(X_40,B),X_40) = set_union2(X_40,set_difference(X_40,B)),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_40)),bind(B,$fot(set_difference(X_40,B)))]]) ).
cnf(refute_0_14,plain,
( set_union2(set_difference(X_40,B),X_40) != set_union2(X_40,set_difference(X_40,B))
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) != set_union2(set_difference(X_40,B),X_40)
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(X_40,set_difference(X_40,B)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_40,B),set_intersection2(X_40,B)),set_union2(set_difference(X_40,B),X_40)) ),[1],$fot(set_union2(X_40,set_difference(X_40,B)))]]) ).
cnf(refute_0_15,plain,
( set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) != set_union2(set_difference(X_40,B),X_40)
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(X_40,set_difference(X_40,B)) ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_40,B),X_40),set_union2(X_40,set_difference(X_40,B))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = set_union2(X_40,set_difference(X_40,B)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_40,B),set_intersection2(X_40,B)),set_union2(set_difference(X_40,B),X_40)) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
set_union2(A,set_difference(set_intersection2(A,X_91),A)) = set_union2(A,set_intersection2(A,X_91)),
inference(subst,[],[refute_0_0:[bind(B,$fot(set_intersection2(A,X_91)))]]) ).
cnf(refute_0_18,plain,
set_difference(A,set_difference(A,set_difference(X_72,A))) = set_intersection2(A,set_difference(X_72,A)),
inference(subst,[],[refute_0_2:[bind(B,$fot(set_difference(X_72,A)))]]) ).
cnf(refute_0_19,plain,
subset(A,set_union2(A,B)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_20,plain,
( set_union2(A,B) != set_union2(B,A)
| ~ subset(A,set_union2(A,B))
| subset(A,set_union2(B,A)) ),
introduced(tautology,[equality,[$cnf( subset(A,set_union2(A,B)) ),[1],$fot(set_union2(B,A))]]) ).
cnf(refute_0_21,plain,
( ~ subset(A,set_union2(A,B))
| subset(A,set_union2(B,A)) ),
inference(resolve,[$cnf( $equal(set_union2(A,B),set_union2(B,A)) )],[refute_0_7,refute_0_20]) ).
cnf(refute_0_22,plain,
subset(A,set_union2(B,A)),
inference(resolve,[$cnf( subset(A,set_union2(A,B)) )],[refute_0_19,refute_0_21]) ).
cnf(refute_0_23,plain,
subset(X_70,set_union2(B,X_70)),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_70))]]) ).
cnf(refute_0_24,plain,
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_25,plain,
( ~ subset(X_70,set_union2(B,X_70))
| set_intersection2(X_70,set_union2(B,X_70)) = X_70 ),
inference(subst,[],[refute_0_24:[bind(A,$fot(X_70)),bind(B,$fot(set_union2(B,X_70)))]]) ).
cnf(refute_0_26,plain,
set_intersection2(X_70,set_union2(B,X_70)) = X_70,
inference(resolve,[$cnf( subset(X_70,set_union2(B,X_70)) )],[refute_0_23,refute_0_25]) ).
cnf(refute_0_27,plain,
set_difference(set_union2(X_45,B),set_difference(set_union2(X_45,B),B)) = set_intersection2(set_union2(X_45,B),B),
inference(subst,[],[refute_0_2:[bind(A,$fot(set_union2(X_45,B)))]]) ).
cnf(refute_0_28,plain,
set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_29,plain,
set_difference(set_union2(X_45,B),B) = set_difference(X_45,B),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_45))]]) ).
cnf(refute_0_30,plain,
( set_difference(set_union2(X_45,B),B) != set_difference(X_45,B)
| set_difference(set_union2(X_45,B),set_difference(set_union2(X_45,B),B)) != set_intersection2(set_union2(X_45,B),B)
| set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(set_union2(X_45,B),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_45,B),set_difference(set_union2(X_45,B),B)),set_intersection2(set_union2(X_45,B),B)) ),[0,1],$fot(set_difference(X_45,B))]]) ).
cnf(refute_0_31,plain,
( set_difference(set_union2(X_45,B),set_difference(set_union2(X_45,B),B)) != set_intersection2(set_union2(X_45,B),B)
| set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(set_union2(X_45,B),B) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_45,B),B),set_difference(X_45,B)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(set_union2(X_45,B),B),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_45,B),set_difference(set_union2(X_45,B),B)),set_intersection2(set_union2(X_45,B),B)) )],[refute_0_27,refute_0_31]) ).
cnf(refute_0_33,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_34,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| set_intersection2(B,A) = set_intersection2(A,B) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_intersection2(A,B))),bind(Y,$fot(set_intersection2(B,A)))]]) ).
cnf(refute_0_35,plain,
set_intersection2(B,A) = set_intersection2(A,B),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
set_intersection2(set_union2(X_45,B),B) = set_intersection2(B,set_union2(X_45,B)),
inference(subst,[],[refute_0_35:[bind(A,$fot(B)),bind(B,$fot(set_union2(X_45,B)))]]) ).
cnf(refute_0_37,plain,
( set_difference(set_union2(X_45,B),set_difference(X_45,B)) != set_intersection2(set_union2(X_45,B),B)
| set_intersection2(set_union2(X_45,B),B) != set_intersection2(B,set_union2(X_45,B))
| set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(B,set_union2(X_45,B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_union2(X_45,B),set_difference(X_45,B)),set_intersection2(B,set_union2(X_45,B))) ),[0],$fot(set_intersection2(set_union2(X_45,B),B))]]) ).
cnf(refute_0_38,plain,
( set_difference(set_union2(X_45,B),set_difference(X_45,B)) != set_intersection2(set_union2(X_45,B),B)
| set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(B,set_union2(X_45,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(X_45,B),B),set_intersection2(B,set_union2(X_45,B))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
set_difference(set_union2(X_45,B),set_difference(X_45,B)) = set_intersection2(B,set_union2(X_45,B)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_45,B),set_difference(X_45,B)),set_intersection2(set_union2(X_45,B),B)) )],[refute_0_32,refute_0_38]) ).
cnf(refute_0_40,plain,
set_difference(set_union2(X_48,X_47),set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)),
inference(subst,[],[refute_0_39:[bind(B,$fot(X_47)),bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_41,plain,
set_union2(X_47,X_48) = set_union2(X_48,X_47),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_47)),bind(B,$fot(X_48))]]) ).
cnf(refute_0_42,plain,
( set_union2(X_47,X_48) != set_union2(X_48,X_47)
| set_union2(X_48,X_47) = set_union2(X_47,X_48) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_union2(X_47,X_48))),bind(Y,$fot(set_union2(X_48,X_47)))]]) ).
cnf(refute_0_43,plain,
set_union2(X_48,X_47) = set_union2(X_47,X_48),
inference(resolve,[$cnf( $equal(set_union2(X_47,X_48),set_union2(X_48,X_47)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( set_difference(set_union2(X_48,X_47),set_difference(X_48,X_47)) != set_intersection2(X_47,set_union2(X_48,X_47))
| set_union2(X_48,X_47) != set_union2(X_47,X_48)
| set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_48,X_47),set_difference(X_48,X_47)),set_intersection2(X_47,set_union2(X_48,X_47))) ),[0,0],$fot(set_union2(X_47,X_48))]]) ).
cnf(refute_0_45,plain,
( set_difference(set_union2(X_48,X_47),set_difference(X_48,X_47)) != set_intersection2(X_47,set_union2(X_48,X_47))
| set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(set_union2(X_48,X_47),set_union2(X_47,X_48)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_48,X_47),set_difference(X_48,X_47)),set_intersection2(X_47,set_union2(X_48,X_47))) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
set_difference(set_union2(X_45,set_difference(B,X_45)),set_difference(B,X_45)) = set_difference(X_45,set_difference(B,X_45)),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_45)),bind(B,$fot(set_difference(B,X_45)))]]) ).
cnf(refute_0_48,plain,
set_union2(X_45,set_difference(B,X_45)) = set_union2(X_45,B),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_45))]]) ).
cnf(refute_0_49,plain,
( set_difference(set_union2(X_45,set_difference(B,X_45)),set_difference(B,X_45)) != set_difference(X_45,set_difference(B,X_45))
| set_union2(X_45,set_difference(B,X_45)) != set_union2(X_45,B)
| set_difference(set_union2(X_45,B),set_difference(B,X_45)) = set_difference(X_45,set_difference(B,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_45,set_difference(B,X_45)),set_difference(B,X_45)),set_difference(X_45,set_difference(B,X_45))) ),[0,0],$fot(set_union2(X_45,B))]]) ).
cnf(refute_0_50,plain,
( set_difference(set_union2(X_45,set_difference(B,X_45)),set_difference(B,X_45)) != set_difference(X_45,set_difference(B,X_45))
| set_difference(set_union2(X_45,B),set_difference(B,X_45)) = set_difference(X_45,set_difference(B,X_45)) ),
inference(resolve,[$cnf( $equal(set_union2(X_45,set_difference(B,X_45)),set_union2(X_45,B)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
set_difference(set_union2(X_45,B),set_difference(B,X_45)) = set_difference(X_45,set_difference(B,X_45)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_45,set_difference(B,X_45)),set_difference(B,X_45)),set_difference(X_45,set_difference(B,X_45))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) = set_difference(X_47,set_difference(X_48,X_47)),
inference(subst,[],[refute_0_51:[bind(B,$fot(X_48)),bind(X_45,$fot(X_47))]]) ).
cnf(refute_0_53,plain,
( set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) != set_difference(X_47,set_difference(X_48,X_47))
| set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) != set_intersection2(X_47,set_union2(X_48,X_47))
| set_difference(X_47,set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)),set_intersection2(X_47,set_union2(X_48,X_47))) ),[0],$fot(set_difference(X_47,set_difference(X_48,X_47)))]]) ).
cnf(refute_0_54,plain,
( set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)) != set_intersection2(X_47,set_union2(X_48,X_47))
| set_difference(X_47,set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)),set_difference(X_47,set_difference(X_48,X_47))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
set_difference(X_47,set_difference(X_48,X_47)) = set_intersection2(X_47,set_union2(X_48,X_47)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_47,X_48),set_difference(X_48,X_47)),set_intersection2(X_47,set_union2(X_48,X_47))) )],[refute_0_46,refute_0_54]) ).
cnf(refute_0_56,plain,
( set_difference(X_47,set_difference(X_48,X_47)) != set_intersection2(X_47,set_union2(X_48,X_47))
| set_intersection2(X_47,set_union2(X_48,X_47)) = set_difference(X_47,set_difference(X_48,X_47)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_difference(X_47,set_difference(X_48,X_47)))),bind(Y,$fot(set_intersection2(X_47,set_union2(X_48,X_47))))]]) ).
cnf(refute_0_57,plain,
set_intersection2(X_47,set_union2(X_48,X_47)) = set_difference(X_47,set_difference(X_48,X_47)),
inference(resolve,[$cnf( $equal(set_difference(X_47,set_difference(X_48,X_47)),set_intersection2(X_47,set_union2(X_48,X_47))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
set_intersection2(X_70,set_union2(B,X_70)) = set_difference(X_70,set_difference(B,X_70)),
inference(subst,[],[refute_0_57:[bind(X_47,$fot(X_70)),bind(X_48,$fot(B))]]) ).
cnf(refute_0_59,plain,
( set_intersection2(X_70,set_union2(B,X_70)) != X_70
| set_intersection2(X_70,set_union2(B,X_70)) != set_difference(X_70,set_difference(B,X_70))
| set_difference(X_70,set_difference(B,X_70)) = X_70 ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(X_70,set_union2(B,X_70)),X_70) ),[0],$fot(set_difference(X_70,set_difference(B,X_70)))]]) ).
cnf(refute_0_60,plain,
( set_intersection2(X_70,set_union2(B,X_70)) != X_70
| set_difference(X_70,set_difference(B,X_70)) = X_70 ),
inference(resolve,[$cnf( $equal(set_intersection2(X_70,set_union2(B,X_70)),set_difference(X_70,set_difference(B,X_70))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
set_difference(X_70,set_difference(B,X_70)) = X_70,
inference(resolve,[$cnf( $equal(set_intersection2(X_70,set_union2(B,X_70)),X_70) )],[refute_0_26,refute_0_60]) ).
cnf(refute_0_62,plain,
set_difference(A,set_difference(X_72,A)) = A,
inference(subst,[],[refute_0_61:[bind(B,$fot(X_72)),bind(X_70,$fot(A))]]) ).
cnf(refute_0_63,plain,
( set_difference(A,set_difference(A,set_difference(X_72,A))) != set_intersection2(A,set_difference(X_72,A))
| set_difference(A,set_difference(X_72,A)) != A
| set_difference(A,A) = set_intersection2(A,set_difference(X_72,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_difference(X_72,A))),set_intersection2(A,set_difference(X_72,A))) ),[0,1],$fot(A)]]) ).
cnf(refute_0_64,plain,
( set_difference(A,set_difference(A,set_difference(X_72,A))) != set_intersection2(A,set_difference(X_72,A))
| set_difference(A,A) = set_intersection2(A,set_difference(X_72,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(X_72,A)),A) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
set_difference(A,A) = set_intersection2(A,set_difference(X_72,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_difference(X_72,A))),set_intersection2(A,set_difference(X_72,A))) )],[refute_0_18,refute_0_64]) ).
cnf(refute_0_66,plain,
set_difference(X_23,set_difference(X_23,empty_set)) = set_intersection2(X_23,empty_set),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_23)),bind(B,$fot(empty_set))]]) ).
cnf(refute_0_67,plain,
set_difference(A,empty_set) = A,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_68,plain,
set_difference(X_23,empty_set) = X_23,
inference(subst,[],[refute_0_67:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_69,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_70,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( $equal(set_difference(X_23,empty_set),X_23) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
set_difference(X_23,X_23) = set_intersection2(X_23,empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_23,set_difference(X_23,empty_set)),set_intersection2(X_23,empty_set)) )],[refute_0_66,refute_0_70]) ).
cnf(refute_0_72,plain,
set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_73,plain,
set_intersection2(X_23,empty_set) = empty_set,
inference(subst,[],[refute_0_72:[bind(A,$fot(X_23))]]) ).
cnf(refute_0_74,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_75,plain,
( set_difference(X_23,X_23) != set_intersection2(X_23,empty_set)
| set_difference(X_23,X_23) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(X_23,empty_set),empty_set) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
set_difference(X_23,X_23) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(X_23,X_23),set_intersection2(X_23,empty_set)) )],[refute_0_71,refute_0_75]) ).
cnf(refute_0_77,plain,
set_difference(A,A) = empty_set,
inference(subst,[],[refute_0_76:[bind(X_23,$fot(A))]]) ).
cnf(refute_0_78,plain,
( set_difference(A,A) != empty_set
| set_difference(A,A) != set_intersection2(A,set_difference(X_72,A))
| empty_set = set_intersection2(A,set_difference(X_72,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,A),set_intersection2(A,set_difference(X_72,A))) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_79,plain,
( set_difference(A,A) != set_intersection2(A,set_difference(X_72,A))
| empty_set = set_intersection2(A,set_difference(X_72,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,A),empty_set) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
empty_set = set_intersection2(A,set_difference(X_72,A)),
inference(resolve,[$cnf( $equal(set_difference(A,A),set_intersection2(A,set_difference(X_72,A))) )],[refute_0_65,refute_0_79]) ).
cnf(refute_0_81,plain,
empty_set = set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,set_intersection2(X_79,X_72))),
inference(subst,[],[refute_0_80:[bind(A,$fot(set_intersection2(X_79,X_72)))]]) ).
cnf(refute_0_82,plain,
set_difference(A,set_difference(A,set_difference(A,X_24))) = set_intersection2(A,set_difference(A,X_24)),
inference(subst,[],[refute_0_2:[bind(B,$fot(set_difference(A,X_24)))]]) ).
cnf(refute_0_83,plain,
set_difference(A,set_difference(A,X_24)) = set_intersection2(A,X_24),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_24))]]) ).
cnf(refute_0_84,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_85,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( $equal(set_difference(A,set_difference(A,X_24)),set_intersection2(A,X_24)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
set_difference(A,set_intersection2(A,X_24)) = set_intersection2(A,set_difference(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_difference(A,X_24))),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
set_difference(X_26,set_intersection2(X_26,X_27)) = set_intersection2(X_26,set_difference(X_26,X_27)),
inference(subst,[],[refute_0_86:[bind(A,$fot(X_26)),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_88,plain,
set_intersection2(X_27,X_26) = set_intersection2(X_26,X_27),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_27)),bind(B,$fot(X_26))]]) ).
cnf(refute_0_89,plain,
( set_intersection2(X_27,X_26) != set_intersection2(X_26,X_27)
| set_intersection2(X_26,X_27) = set_intersection2(X_27,X_26) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_intersection2(X_27,X_26))),bind(Y,$fot(set_intersection2(X_26,X_27)))]]) ).
cnf(refute_0_90,plain,
set_intersection2(X_26,X_27) = set_intersection2(X_27,X_26),
inference(resolve,[$cnf( $equal(set_intersection2(X_27,X_26),set_intersection2(X_26,X_27)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
( set_difference(X_26,set_intersection2(X_26,X_27)) != set_intersection2(X_26,set_difference(X_26,X_27))
| set_intersection2(X_26,X_27) != set_intersection2(X_27,X_26)
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_intersection2(X_26,set_difference(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_26,set_intersection2(X_26,X_27)),set_intersection2(X_26,set_difference(X_26,X_27))) ),[0,1],$fot(set_intersection2(X_27,X_26))]]) ).
cnf(refute_0_92,plain,
( set_difference(X_26,set_intersection2(X_26,X_27)) != set_intersection2(X_26,set_difference(X_26,X_27))
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_intersection2(X_26,set_difference(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_26,X_27),set_intersection2(X_27,X_26)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
set_difference(X_26,set_intersection2(X_27,X_26)) = set_intersection2(X_26,set_difference(X_26,X_27)),
inference(resolve,[$cnf( $equal(set_difference(X_26,set_intersection2(X_26,X_27)),set_intersection2(X_26,set_difference(X_26,X_27))) )],[refute_0_87,refute_0_92]) ).
cnf(refute_0_94,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_intersection2(A,set_difference(A,X_24)) = set_difference(A,set_intersection2(A,X_24)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_difference(A,set_intersection2(A,X_24)))),bind(Y,$fot(set_intersection2(A,set_difference(A,X_24))))]]) ).
cnf(refute_0_95,plain,
set_intersection2(A,set_difference(A,X_24)) = set_difference(A,set_intersection2(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_86,refute_0_94]) ).
cnf(refute_0_96,plain,
set_intersection2(X_26,set_difference(X_26,X_27)) = set_difference(X_26,set_intersection2(X_26,X_27)),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_26)),bind(X_24,$fot(X_27))]]) ).
cnf(refute_0_97,plain,
( set_difference(X_26,set_intersection2(X_27,X_26)) != set_intersection2(X_26,set_difference(X_26,X_27))
| set_intersection2(X_26,set_difference(X_26,X_27)) != set_difference(X_26,set_intersection2(X_26,X_27))
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,set_intersection2(X_26,X_27)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_26,set_intersection2(X_27,X_26)),set_difference(X_26,set_intersection2(X_26,X_27))) ),[0],$fot(set_intersection2(X_26,set_difference(X_26,X_27)))]]) ).
cnf(refute_0_98,plain,
( set_difference(X_26,set_intersection2(X_27,X_26)) != set_intersection2(X_26,set_difference(X_26,X_27))
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,set_intersection2(X_26,X_27)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_26,set_difference(X_26,X_27)),set_difference(X_26,set_intersection2(X_26,X_27))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,set_intersection2(X_26,X_27)),
inference(resolve,[$cnf( $equal(set_difference(X_26,set_intersection2(X_27,X_26)),set_intersection2(X_26,set_difference(X_26,X_27))) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
subset(set_difference(A,B),A),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_101,plain,
subset(set_difference(X_71,B),X_71),
inference(subst,[],[refute_0_100:[bind(A,$fot(X_71))]]) ).
cnf(refute_0_102,plain,
( ~ subset(set_difference(X_71,B),X_71)
| set_intersection2(set_difference(X_71,B),X_71) = set_difference(X_71,B) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(set_difference(X_71,B))),bind(B,$fot(X_71))]]) ).
cnf(refute_0_103,plain,
set_intersection2(set_difference(X_71,B),X_71) = set_difference(X_71,B),
inference(resolve,[$cnf( subset(set_difference(X_71,B),X_71) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
set_intersection2(X_71,set_difference(X_71,B)) = set_difference(X_71,set_intersection2(X_71,B)),
inference(subst,[],[refute_0_95:[bind(A,$fot(X_71)),bind(X_24,$fot(B))]]) ).
cnf(refute_0_105,plain,
set_intersection2(set_difference(X_71,B),X_71) = set_intersection2(X_71,set_difference(X_71,B)),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_71)),bind(B,$fot(set_difference(X_71,B)))]]) ).
cnf(refute_0_106,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_107,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_10,refute_0_106]) ).
cnf(refute_0_108,plain,
( set_intersection2(X_71,set_difference(X_71,B)) != set_difference(X_71,set_intersection2(X_71,B))
| set_intersection2(set_difference(X_71,B),X_71) != set_intersection2(X_71,set_difference(X_71,B))
| set_intersection2(set_difference(X_71,B),X_71) = set_difference(X_71,set_intersection2(X_71,B)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(set_intersection2(set_difference(X_71,B),X_71))),bind(Y,$fot(set_intersection2(X_71,set_difference(X_71,B)))),bind(Z,$fot(set_difference(X_71,set_intersection2(X_71,B))))]]) ).
cnf(refute_0_109,plain,
( set_intersection2(X_71,set_difference(X_71,B)) != set_difference(X_71,set_intersection2(X_71,B))
| set_intersection2(set_difference(X_71,B),X_71) = set_difference(X_71,set_intersection2(X_71,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(X_71,B),X_71),set_intersection2(X_71,set_difference(X_71,B))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
set_intersection2(set_difference(X_71,B),X_71) = set_difference(X_71,set_intersection2(X_71,B)),
inference(resolve,[$cnf( $equal(set_intersection2(X_71,set_difference(X_71,B)),set_difference(X_71,set_intersection2(X_71,B))) )],[refute_0_104,refute_0_109]) ).
cnf(refute_0_111,plain,
( set_intersection2(set_difference(X_71,B),X_71) != set_difference(X_71,B)
| set_intersection2(set_difference(X_71,B),X_71) != set_difference(X_71,set_intersection2(X_71,B))
| set_difference(X_71,set_intersection2(X_71,B)) = set_difference(X_71,B) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_difference(X_71,B),X_71),set_difference(X_71,B)) ),[0],$fot(set_difference(X_71,set_intersection2(X_71,B)))]]) ).
cnf(refute_0_112,plain,
( set_intersection2(set_difference(X_71,B),X_71) != set_difference(X_71,B)
| set_difference(X_71,set_intersection2(X_71,B)) = set_difference(X_71,B) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(X_71,B),X_71),set_difference(X_71,set_intersection2(X_71,B))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
set_difference(X_71,set_intersection2(X_71,B)) = set_difference(X_71,B),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(X_71,B),X_71),set_difference(X_71,B)) )],[refute_0_103,refute_0_112]) ).
cnf(refute_0_114,plain,
set_difference(X_26,set_intersection2(X_26,X_27)) = set_difference(X_26,X_27),
inference(subst,[],[refute_0_113:[bind(B,$fot(X_27)),bind(X_71,$fot(X_26))]]) ).
cnf(refute_0_115,plain,
( set_difference(X_26,set_intersection2(X_26,X_27)) != set_difference(X_26,X_27)
| set_difference(X_26,set_intersection2(X_27,X_26)) != set_difference(X_26,set_intersection2(X_26,X_27))
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_26,set_intersection2(X_27,X_26)),set_difference(X_26,set_intersection2(X_26,X_27))) ),[1],$fot(set_difference(X_26,X_27))]]) ).
cnf(refute_0_116,plain,
( set_difference(X_26,set_intersection2(X_27,X_26)) != set_difference(X_26,set_intersection2(X_26,X_27))
| set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,X_27) ),
inference(resolve,[$cnf( $equal(set_difference(X_26,set_intersection2(X_26,X_27)),set_difference(X_26,X_27)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
set_difference(X_26,set_intersection2(X_27,X_26)) = set_difference(X_26,X_27),
inference(resolve,[$cnf( $equal(set_difference(X_26,set_intersection2(X_27,X_26)),set_difference(X_26,set_intersection2(X_26,X_27))) )],[refute_0_99,refute_0_116]) ).
cnf(refute_0_118,plain,
set_difference(X_72,set_intersection2(X_79,X_72)) = set_difference(X_72,X_79),
inference(subst,[],[refute_0_117:[bind(X_26,$fot(X_72)),bind(X_27,$fot(X_79))]]) ).
cnf(refute_0_119,plain,
( empty_set != set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,set_intersection2(X_79,X_72)))
| set_difference(X_72,set_intersection2(X_79,X_72)) != set_difference(X_72,X_79)
| empty_set = set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(empty_set,set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,set_intersection2(X_79,X_72)))) ),[1,1],$fot(set_difference(X_72,X_79))]]) ).
cnf(refute_0_120,plain,
( empty_set != set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,set_intersection2(X_79,X_72)))
| empty_set = set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)) ),
inference(resolve,[$cnf( $equal(set_difference(X_72,set_intersection2(X_79,X_72)),set_difference(X_72,X_79)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
empty_set = set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)),
inference(resolve,[$cnf( $equal(empty_set,set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,set_intersection2(X_79,X_72)))) )],[refute_0_81,refute_0_120]) ).
cnf(refute_0_122,plain,
set_difference(A,set_difference(A,set_intersection2(X_54,A))) = set_intersection2(A,set_intersection2(X_54,A)),
inference(subst,[],[refute_0_2:[bind(B,$fot(set_intersection2(X_54,A)))]]) ).
cnf(refute_0_123,plain,
set_difference(A,set_intersection2(X_54,A)) = set_difference(A,set_intersection2(A,X_54)),
inference(subst,[],[refute_0_99:[bind(X_26,$fot(A)),bind(X_27,$fot(X_54))]]) ).
cnf(refute_0_124,plain,
( set_difference(A,set_difference(A,set_intersection2(X_54,A))) != set_intersection2(A,set_intersection2(X_54,A))
| set_difference(A,set_intersection2(X_54,A)) != set_difference(A,set_intersection2(A,X_54))
| set_difference(A,set_difference(A,set_intersection2(A,X_54))) = set_intersection2(A,set_intersection2(X_54,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(X_54,A))),set_intersection2(A,set_intersection2(X_54,A))) ),[0,1],$fot(set_difference(A,set_intersection2(A,X_54)))]]) ).
cnf(refute_0_125,plain,
( set_difference(A,set_difference(A,set_intersection2(X_54,A))) != set_intersection2(A,set_intersection2(X_54,A))
| set_difference(A,set_difference(A,set_intersection2(A,X_54))) = set_intersection2(A,set_intersection2(X_54,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(X_54,A)),set_difference(A,set_intersection2(A,X_54))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
set_difference(A,set_difference(A,set_intersection2(A,X_54))) = set_intersection2(A,set_intersection2(X_54,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(X_54,A))),set_intersection2(A,set_intersection2(X_54,A))) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
set_difference(A,set_difference(A,set_intersection2(A,X_54))) = set_intersection2(A,set_intersection2(A,X_54)),
inference(subst,[],[refute_0_2:[bind(B,$fot(set_intersection2(A,X_54)))]]) ).
cnf(refute_0_128,plain,
( set_difference(A,set_difference(A,set_intersection2(A,X_54))) != set_intersection2(A,set_intersection2(A,X_54))
| set_difference(A,set_difference(A,set_intersection2(A,X_54))) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,set_intersection2(A,X_54)) = set_intersection2(A,set_intersection2(X_54,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_54))),set_intersection2(A,set_intersection2(X_54,A))) ),[0],$fot(set_intersection2(A,set_intersection2(A,X_54)))]]) ).
cnf(refute_0_129,plain,
( set_difference(A,set_difference(A,set_intersection2(A,X_54))) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,set_intersection2(A,X_54)) = set_intersection2(A,set_intersection2(X_54,A)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_54))),set_intersection2(A,set_intersection2(A,X_54))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
set_intersection2(A,set_intersection2(A,X_54)) = set_intersection2(A,set_intersection2(X_54,A)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_intersection2(A,X_54))),set_intersection2(A,set_intersection2(X_54,A))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
subset(set_intersection2(A,B),A),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_132,plain,
subset(set_intersection2(X_71,B),X_71),
inference(subst,[],[refute_0_131:[bind(A,$fot(X_71))]]) ).
cnf(refute_0_133,plain,
( ~ subset(set_intersection2(X_71,B),X_71)
| set_intersection2(set_intersection2(X_71,B),X_71) = set_intersection2(X_71,B) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(set_intersection2(X_71,B))),bind(B,$fot(X_71))]]) ).
cnf(refute_0_134,plain,
set_intersection2(set_intersection2(X_71,B),X_71) = set_intersection2(X_71,B),
inference(resolve,[$cnf( subset(set_intersection2(X_71,B),X_71) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
set_intersection2(set_intersection2(X_71,B),X_71) = set_intersection2(X_71,set_intersection2(X_71,B)),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_71)),bind(B,$fot(set_intersection2(X_71,B)))]]) ).
cnf(refute_0_136,plain,
( set_intersection2(set_intersection2(X_71,B),X_71) != set_intersection2(X_71,B)
| set_intersection2(set_intersection2(X_71,B),X_71) != set_intersection2(X_71,set_intersection2(X_71,B))
| set_intersection2(X_71,set_intersection2(X_71,B)) = set_intersection2(X_71,B) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_intersection2(X_71,B),X_71),set_intersection2(X_71,B)) ),[0],$fot(set_intersection2(X_71,set_intersection2(X_71,B)))]]) ).
cnf(refute_0_137,plain,
( set_intersection2(set_intersection2(X_71,B),X_71) != set_intersection2(X_71,B)
| set_intersection2(X_71,set_intersection2(X_71,B)) = set_intersection2(X_71,B) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_71,B),X_71),set_intersection2(X_71,set_intersection2(X_71,B))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
set_intersection2(X_71,set_intersection2(X_71,B)) = set_intersection2(X_71,B),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_71,B),X_71),set_intersection2(X_71,B)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
set_intersection2(A,set_intersection2(A,X_54)) = set_intersection2(A,X_54),
inference(subst,[],[refute_0_138:[bind(B,$fot(X_54)),bind(X_71,$fot(A))]]) ).
cnf(refute_0_140,plain,
( set_intersection2(A,set_intersection2(A,X_54)) != set_intersection2(A,X_54)
| set_intersection2(A,set_intersection2(A,X_54)) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,X_54) = set_intersection2(A,set_intersection2(X_54,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(A,set_intersection2(A,X_54)),set_intersection2(A,set_intersection2(X_54,A))) ),[0],$fot(set_intersection2(A,X_54))]]) ).
cnf(refute_0_141,plain,
( set_intersection2(A,set_intersection2(A,X_54)) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,X_54) = set_intersection2(A,set_intersection2(X_54,A)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,set_intersection2(A,X_54)),set_intersection2(A,X_54)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(A,B),A) ),[0],$fot(set_intersection2(B,A))]]) ).
cnf(refute_0_143,plain,
( ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_33,refute_0_142]) ).
cnf(refute_0_144,plain,
subset(set_intersection2(B,A),A),
inference(resolve,[$cnf( subset(set_intersection2(A,B),A) )],[refute_0_131,refute_0_143]) ).
cnf(refute_0_145,plain,
subset(set_intersection2(B,X_71),X_71),
inference(subst,[],[refute_0_144:[bind(A,$fot(X_71))]]) ).
cnf(refute_0_146,plain,
( ~ subset(set_intersection2(B,X_71),X_71)
| set_intersection2(set_intersection2(B,X_71),X_71) = set_intersection2(B,X_71) ),
inference(subst,[],[refute_0_24:[bind(A,$fot(set_intersection2(B,X_71))),bind(B,$fot(X_71))]]) ).
cnf(refute_0_147,plain,
set_intersection2(set_intersection2(B,X_71),X_71) = set_intersection2(B,X_71),
inference(resolve,[$cnf( subset(set_intersection2(B,X_71),X_71) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
set_intersection2(set_intersection2(B,X_71),X_71) = set_intersection2(X_71,set_intersection2(B,X_71)),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_71)),bind(B,$fot(set_intersection2(B,X_71)))]]) ).
cnf(refute_0_149,plain,
( set_intersection2(set_intersection2(B,X_71),X_71) != set_intersection2(B,X_71)
| set_intersection2(set_intersection2(B,X_71),X_71) != set_intersection2(X_71,set_intersection2(B,X_71))
| set_intersection2(X_71,set_intersection2(B,X_71)) = set_intersection2(B,X_71) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_intersection2(B,X_71),X_71),set_intersection2(B,X_71)) ),[0],$fot(set_intersection2(X_71,set_intersection2(B,X_71)))]]) ).
cnf(refute_0_150,plain,
( set_intersection2(set_intersection2(B,X_71),X_71) != set_intersection2(B,X_71)
| set_intersection2(X_71,set_intersection2(B,X_71)) = set_intersection2(B,X_71) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(B,X_71),X_71),set_intersection2(X_71,set_intersection2(B,X_71))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
set_intersection2(X_71,set_intersection2(B,X_71)) = set_intersection2(B,X_71),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(B,X_71),X_71),set_intersection2(B,X_71)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
set_intersection2(A,set_intersection2(X_54,A)) = set_intersection2(X_54,A),
inference(subst,[],[refute_0_151:[bind(B,$fot(X_54)),bind(X_71,$fot(A))]]) ).
cnf(refute_0_153,plain,
( set_intersection2(A,X_54) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,set_intersection2(X_54,A)) != set_intersection2(X_54,A)
| set_intersection2(A,X_54) = set_intersection2(X_54,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_intersection2(A,X_54),set_intersection2(X_54,A)) ),[0],$fot(set_intersection2(A,set_intersection2(X_54,A)))]]) ).
cnf(refute_0_154,plain,
( set_intersection2(A,X_54) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,X_54) = set_intersection2(X_54,A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,set_intersection2(X_54,A)),set_intersection2(X_54,A)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
( set_intersection2(A,set_intersection2(A,X_54)) != set_intersection2(A,set_intersection2(X_54,A))
| set_intersection2(A,X_54) = set_intersection2(X_54,A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,X_54),set_intersection2(A,set_intersection2(X_54,A))) )],[refute_0_141,refute_0_154]) ).
cnf(refute_0_156,plain,
set_intersection2(A,X_54) = set_intersection2(X_54,A),
inference(resolve,[$cnf( $equal(set_intersection2(A,set_intersection2(A,X_54)),set_intersection2(A,set_intersection2(X_54,A))) )],[refute_0_130,refute_0_155]) ).
cnf(refute_0_157,plain,
( set_intersection2(A,X_54) != set_intersection2(X_54,A)
| set_intersection2(X_54,A) = set_intersection2(A,X_54) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_intersection2(A,X_54))),bind(Y,$fot(set_intersection2(X_54,A)))]]) ).
cnf(refute_0_158,plain,
set_intersection2(X_54,A) = set_intersection2(A,X_54),
inference(resolve,[$cnf( $equal(set_intersection2(A,X_54),set_intersection2(X_54,A)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)) = set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72)),
inference(subst,[],[refute_0_158:[bind(A,$fot(set_difference(X_72,X_79))),bind(X_54,$fot(set_intersection2(X_79,X_72)))]]) ).
cnf(refute_0_160,plain,
( empty_set != set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79))
| set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)) != set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72))
| empty_set = set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(empty_set,set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72))) ),[0],$fot(set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)))]]) ).
cnf(refute_0_161,plain,
( empty_set != set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79))
| empty_set = set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79)),set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
empty_set = set_intersection2(set_difference(X_72,X_79),set_intersection2(X_79,X_72)),
inference(resolve,[$cnf( $equal(empty_set,set_intersection2(set_intersection2(X_79,X_72),set_difference(X_72,X_79))) )],[refute_0_121,refute_0_161]) ).
cnf(refute_0_163,plain,
empty_set = set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_79,set_intersection2(X_86,X_79))),
inference(subst,[],[refute_0_162:[bind(X_72,$fot(set_intersection2(X_86,X_79)))]]) ).
cnf(refute_0_164,plain,
set_intersection2(X_79,set_intersection2(X_86,X_79)) = set_intersection2(X_86,X_79),
inference(subst,[],[refute_0_151:[bind(B,$fot(X_86)),bind(X_71,$fot(X_79))]]) ).
cnf(refute_0_165,plain,
( empty_set != set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_79,set_intersection2(X_86,X_79)))
| set_intersection2(X_79,set_intersection2(X_86,X_79)) != set_intersection2(X_86,X_79)
| empty_set = set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(empty_set,set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_79,set_intersection2(X_86,X_79)))) ),[1,1],$fot(set_intersection2(X_86,X_79))]]) ).
cnf(refute_0_166,plain,
( empty_set != set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_79,set_intersection2(X_86,X_79)))
| empty_set = set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_79,set_intersection2(X_86,X_79)),set_intersection2(X_86,X_79)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
empty_set = set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)),
inference(resolve,[$cnf( $equal(empty_set,set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_79,set_intersection2(X_86,X_79)))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
set_difference(A,set_intersection2(A,X_24)) = set_difference(A,X_24),
inference(subst,[],[refute_0_113:[bind(B,$fot(X_24)),bind(X_71,$fot(A))]]) ).
cnf(refute_0_169,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_difference(A,X_24)
| set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,X_24) = set_intersection2(A,set_difference(A,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) ),[0],$fot(set_difference(A,X_24))]]) ).
cnf(refute_0_170,plain,
( set_difference(A,set_intersection2(A,X_24)) != set_intersection2(A,set_difference(A,X_24))
| set_difference(A,X_24) = set_intersection2(A,set_difference(A,X_24)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_difference(A,X_24)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
set_difference(A,X_24) = set_intersection2(A,set_difference(A,X_24)),
inference(resolve,[$cnf( $equal(set_difference(A,set_intersection2(A,X_24)),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_86,refute_0_170]) ).
cnf(refute_0_172,plain,
( set_difference(A,X_24) != set_intersection2(A,set_difference(A,X_24))
| set_intersection2(A,set_difference(A,X_24)) = set_difference(A,X_24) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_difference(A,X_24))),bind(Y,$fot(set_intersection2(A,set_difference(A,X_24))))]]) ).
cnf(refute_0_173,plain,
set_intersection2(A,set_difference(A,X_24)) = set_difference(A,X_24),
inference(resolve,[$cnf( $equal(set_difference(A,X_24),set_intersection2(A,set_difference(A,X_24))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)) = set_difference(set_intersection2(X_86,X_79),X_79),
inference(subst,[],[refute_0_173:[bind(A,$fot(set_intersection2(X_86,X_79))),bind(X_24,$fot(X_79))]]) ).
cnf(refute_0_175,plain,
set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) = set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)),
inference(subst,[],[refute_0_158:[bind(A,$fot(set_intersection2(X_86,X_79))),bind(X_54,$fot(set_difference(set_intersection2(X_86,X_79),X_79)))]]) ).
cnf(refute_0_176,plain,
( set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) != set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79))
| set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)) != set_difference(set_intersection2(X_86,X_79),X_79)
| set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) = set_difference(set_intersection2(X_86,X_79),X_79) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)))),bind(Y,$fot(set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)))),bind(Z,$fot(set_difference(set_intersection2(X_86,X_79),X_79)))]]) ).
cnf(refute_0_177,plain,
( set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)) != set_difference(set_intersection2(X_86,X_79),X_79)
| set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) = set_difference(set_intersection2(X_86,X_79),X_79) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)),set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) = set_difference(set_intersection2(X_86,X_79),X_79),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_86,X_79),set_difference(set_intersection2(X_86,X_79),X_79)),set_difference(set_intersection2(X_86,X_79),X_79)) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
( empty_set != set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79))
| set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)) != set_difference(set_intersection2(X_86,X_79),X_79)
| empty_set = set_difference(set_intersection2(X_86,X_79),X_79) ),
introduced(tautology,[equality,[$cnf( ~ $equal(empty_set,set_difference(set_intersection2(X_86,X_79),X_79)) ),[0],$fot(set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)))]]) ).
cnf(refute_0_180,plain,
( empty_set != set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79))
| empty_set = set_difference(set_intersection2(X_86,X_79),X_79) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79)),set_difference(set_intersection2(X_86,X_79),X_79)) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
empty_set = set_difference(set_intersection2(X_86,X_79),X_79),
inference(resolve,[$cnf( $equal(empty_set,set_intersection2(set_difference(set_intersection2(X_86,X_79),X_79),set_intersection2(X_86,X_79))) )],[refute_0_167,refute_0_180]) ).
cnf(refute_0_182,plain,
empty_set = set_difference(set_intersection2(X_89,X_88),X_88),
inference(subst,[],[refute_0_181:[bind(X_79,$fot(X_88)),bind(X_86,$fot(X_89))]]) ).
cnf(refute_0_183,plain,
set_intersection2(X_88,X_89) = set_intersection2(X_89,X_88),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_88)),bind(B,$fot(X_89))]]) ).
cnf(refute_0_184,plain,
( set_intersection2(X_88,X_89) != set_intersection2(X_89,X_88)
| set_intersection2(X_89,X_88) = set_intersection2(X_88,X_89) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_intersection2(X_88,X_89))),bind(Y,$fot(set_intersection2(X_89,X_88)))]]) ).
cnf(refute_0_185,plain,
set_intersection2(X_89,X_88) = set_intersection2(X_88,X_89),
inference(resolve,[$cnf( $equal(set_intersection2(X_88,X_89),set_intersection2(X_89,X_88)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( empty_set != set_difference(set_intersection2(X_89,X_88),X_88)
| set_intersection2(X_89,X_88) != set_intersection2(X_88,X_89)
| empty_set = set_difference(set_intersection2(X_88,X_89),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(empty_set,set_difference(set_intersection2(X_89,X_88),X_88)) ),[1,0],$fot(set_intersection2(X_88,X_89))]]) ).
cnf(refute_0_187,plain,
( empty_set != set_difference(set_intersection2(X_89,X_88),X_88)
| empty_set = set_difference(set_intersection2(X_88,X_89),X_88) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_89,X_88),set_intersection2(X_88,X_89)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
empty_set = set_difference(set_intersection2(X_88,X_89),X_88),
inference(resolve,[$cnf( $equal(empty_set,set_difference(set_intersection2(X_89,X_88),X_88)) )],[refute_0_182,refute_0_187]) ).
cnf(refute_0_189,plain,
empty_set = set_difference(set_intersection2(A,X_91),A),
inference(subst,[],[refute_0_188:[bind(X_88,$fot(A)),bind(X_89,$fot(X_91))]]) ).
cnf(refute_0_190,plain,
( empty_set != set_difference(set_intersection2(A,X_91),A)
| set_difference(set_intersection2(A,X_91),A) = empty_set ),
inference(subst,[],[refute_0_10:[bind(X,$fot(empty_set)),bind(Y,$fot(set_difference(set_intersection2(A,X_91),A)))]]) ).
cnf(refute_0_191,plain,
set_difference(set_intersection2(A,X_91),A) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_difference(set_intersection2(A,X_91),A)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( set_difference(set_intersection2(A,X_91),A) != empty_set
| set_union2(A,set_difference(set_intersection2(A,X_91),A)) != set_union2(A,set_intersection2(A,X_91))
| set_union2(A,empty_set) = set_union2(A,set_intersection2(A,X_91)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(A,set_difference(set_intersection2(A,X_91),A)),set_union2(A,set_intersection2(A,X_91))) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_193,plain,
( set_union2(A,set_difference(set_intersection2(A,X_91),A)) != set_union2(A,set_intersection2(A,X_91))
| set_union2(A,empty_set) = set_union2(A,set_intersection2(A,X_91)) ),
inference(resolve,[$cnf( $equal(set_difference(set_intersection2(A,X_91),A),empty_set) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
set_union2(A,empty_set) = set_union2(A,set_intersection2(A,X_91)),
inference(resolve,[$cnf( $equal(set_union2(A,set_difference(set_intersection2(A,X_91),A)),set_union2(A,set_intersection2(A,X_91))) )],[refute_0_17,refute_0_193]) ).
cnf(refute_0_195,plain,
set_union2(A,empty_set) = A,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_196,plain,
( set_union2(A,empty_set) != A
| set_union2(A,empty_set) != set_union2(A,set_intersection2(A,X_91))
| A = set_union2(A,set_intersection2(A,X_91)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(A,empty_set),set_union2(A,set_intersection2(A,X_91))) ),[0],$fot(A)]]) ).
cnf(refute_0_197,plain,
( set_union2(A,empty_set) != set_union2(A,set_intersection2(A,X_91))
| A = set_union2(A,set_intersection2(A,X_91)) ),
inference(resolve,[$cnf( $equal(set_union2(A,empty_set),A) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(B,X_54))) = set_union2(set_intersection2(B,X_54),B),
inference(subst,[],[refute_0_0:[bind(A,$fot(set_intersection2(B,X_54)))]]) ).
cnf(refute_0_199,plain,
set_difference(B,set_intersection2(X_54,B)) = set_difference(B,set_intersection2(B,X_54)),
inference(subst,[],[refute_0_99:[bind(X_26,$fot(B)),bind(X_27,$fot(X_54))]]) ).
cnf(refute_0_200,plain,
( set_difference(B,set_intersection2(X_54,B)) != set_difference(B,set_intersection2(B,X_54))
| set_difference(B,set_intersection2(B,X_54)) = set_difference(B,set_intersection2(X_54,B)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_difference(B,set_intersection2(X_54,B)))),bind(Y,$fot(set_difference(B,set_intersection2(B,X_54))))]]) ).
cnf(refute_0_201,plain,
set_difference(B,set_intersection2(B,X_54)) = set_difference(B,set_intersection2(X_54,B)),
inference(resolve,[$cnf( $equal(set_difference(B,set_intersection2(X_54,B)),set_difference(B,set_intersection2(B,X_54))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
( set_difference(B,set_intersection2(B,X_54)) != set_difference(B,set_intersection2(X_54,B))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(B,X_54))) != set_union2(set_intersection2(B,X_54),B)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(B,X_54))),set_union2(set_intersection2(B,X_54),B)) ),[0,1],$fot(set_difference(B,set_intersection2(X_54,B)))]]) ).
cnf(refute_0_203,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(B,X_54))) != set_union2(set_intersection2(B,X_54),B)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),B) ),
inference(resolve,[$cnf( $equal(set_difference(B,set_intersection2(B,X_54)),set_difference(B,set_intersection2(X_54,B))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),B),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(B,X_54))),set_union2(set_intersection2(B,X_54),B)) )],[refute_0_198,refute_0_203]) ).
cnf(refute_0_205,plain,
set_union2(set_intersection2(B,X_54),B) = set_union2(B,set_intersection2(B,X_54)),
inference(subst,[],[refute_0_12:[bind(A,$fot(B)),bind(B,$fot(set_intersection2(B,X_54)))]]) ).
cnf(refute_0_206,plain,
( set_union2(set_intersection2(B,X_54),B) != set_union2(B,set_intersection2(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(set_intersection2(B,X_54),B)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_intersection2(B,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(set_intersection2(B,X_54),B)) ),[1],$fot(set_union2(B,set_intersection2(B,X_54)))]]) ).
cnf(refute_0_207,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(set_intersection2(B,X_54),B)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_intersection2(B,X_54)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),B),set_union2(B,set_intersection2(B,X_54))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_intersection2(B,X_54)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(set_intersection2(B,X_54),B)) )],[refute_0_204,refute_0_207]) ).
cnf(refute_0_209,plain,
set_union2(set_difference(B,X_54),set_intersection2(B,X_54)) = set_union2(B,set_difference(B,X_54)),
inference(subst,[],[refute_0_16:[bind(B,$fot(X_54)),bind(X_40,$fot(B))]]) ).
cnf(refute_0_210,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) = set_union2(set_difference(B,X_54),set_intersection2(B,X_54)),
inference(subst,[],[refute_0_12:[bind(A,$fot(set_difference(B,X_54))),bind(B,$fot(set_intersection2(B,X_54)))]]) ).
cnf(refute_0_211,plain,
( set_union2(set_difference(B,X_54),set_intersection2(B,X_54)) != set_union2(B,set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) != set_union2(set_difference(B,X_54),set_intersection2(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) = set_union2(B,set_difference(B,X_54)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(set_union2(set_intersection2(B,X_54),set_difference(B,X_54)))),bind(Y,$fot(set_union2(set_difference(B,X_54),set_intersection2(B,X_54)))),bind(Z,$fot(set_union2(B,set_difference(B,X_54))))]]) ).
cnf(refute_0_212,plain,
( set_union2(set_difference(B,X_54),set_intersection2(B,X_54)) != set_union2(B,set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) = set_union2(B,set_difference(B,X_54)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,X_54)),set_union2(set_difference(B,X_54),set_intersection2(B,X_54))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) = set_union2(B,set_difference(B,X_54)),
inference(resolve,[$cnf( $equal(set_union2(set_difference(B,X_54),set_intersection2(B,X_54)),set_union2(B,set_difference(B,X_54))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
set_difference(B,set_intersection2(X_54,B)) = set_difference(B,X_54),
inference(subst,[],[refute_0_117:[bind(X_26,$fot(B)),bind(X_27,$fot(X_54))]]) ).
cnf(refute_0_215,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),
introduced(tautology,[refl,[$fot(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))))]]) ).
cnf(refute_0_216,plain,
( set_difference(B,set_intersection2(X_54,B)) != set_difference(B,X_54)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B)))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B)))) ),[1,1],$fot(set_difference(B,X_54))]]) ).
cnf(refute_0_217,plain,
( set_difference(B,set_intersection2(X_54,B)) != set_difference(B,X_54)
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B)))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(set_intersection2(B,X_54),set_difference(B,X_54)),
inference(resolve,[$cnf( $equal(set_difference(B,set_intersection2(X_54,B)),set_difference(B,X_54)) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) != set_union2(B,set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(set_intersection2(B,X_54),set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_difference(B,X_54)) ),
inference(subst,[],[refute_0_107:[bind(X,$fot(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))))),bind(Y,$fot(set_union2(set_intersection2(B,X_54),set_difference(B,X_54)))),bind(Z,$fot(set_union2(B,set_difference(B,X_54))))]]) ).
cnf(refute_0_220,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,X_54)) != set_union2(B,set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_difference(B,X_54)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(set_intersection2(B,X_54),set_difference(B,X_54))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) = set_union2(B,set_difference(B,X_54)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,X_54)),set_union2(B,set_difference(B,X_54))) )],[refute_0_213,refute_0_220]) ).
cnf(refute_0_222,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(B,set_difference(B,X_54))
| set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(B,set_intersection2(B,X_54))
| set_union2(B,set_difference(B,X_54)) = set_union2(B,set_intersection2(B,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(B,set_intersection2(B,X_54))) ),[0],$fot(set_union2(B,set_difference(B,X_54)))]]) ).
cnf(refute_0_223,plain,
( set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))) != set_union2(B,set_intersection2(B,X_54))
| set_union2(B,set_difference(B,X_54)) = set_union2(B,set_intersection2(B,X_54)) ),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(B,set_difference(B,X_54))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
set_union2(B,set_difference(B,X_54)) = set_union2(B,set_intersection2(B,X_54)),
inference(resolve,[$cnf( $equal(set_union2(set_intersection2(B,X_54),set_difference(B,set_intersection2(X_54,B))),set_union2(B,set_intersection2(B,X_54))) )],[refute_0_208,refute_0_223]) ).
cnf(refute_0_225,plain,
( set_union2(B,set_difference(B,X_54)) != set_union2(B,set_intersection2(B,X_54))
| set_union2(B,set_intersection2(B,X_54)) = set_union2(B,set_difference(B,X_54)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(set_union2(B,set_difference(B,X_54)))),bind(Y,$fot(set_union2(B,set_intersection2(B,X_54))))]]) ).
cnf(refute_0_226,plain,
set_union2(B,set_intersection2(B,X_54)) = set_union2(B,set_difference(B,X_54)),
inference(resolve,[$cnf( $equal(set_union2(B,set_difference(B,X_54)),set_union2(B,set_intersection2(B,X_54))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
set_union2(A,set_intersection2(A,X_91)) = set_union2(A,set_difference(A,X_91)),
inference(subst,[],[refute_0_226:[bind(B,$fot(A)),bind(X_54,$fot(X_91))]]) ).
cnf(refute_0_228,plain,
( A != set_union2(A,set_intersection2(A,X_91))
| set_union2(A,set_intersection2(A,X_91)) != set_union2(A,set_difference(A,X_91))
| A = set_union2(A,set_difference(A,X_91)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,set_union2(A,set_difference(A,X_91))) ),[0],$fot(set_union2(A,set_intersection2(A,X_91)))]]) ).
cnf(refute_0_229,plain,
( A != set_union2(A,set_intersection2(A,X_91))
| A = set_union2(A,set_difference(A,X_91)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_intersection2(A,X_91)),set_union2(A,set_difference(A,X_91))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
( set_union2(A,empty_set) != set_union2(A,set_intersection2(A,X_91))
| A = set_union2(A,set_difference(A,X_91)) ),
inference(resolve,[$cnf( $equal(A,set_union2(A,set_intersection2(A,X_91))) )],[refute_0_197,refute_0_229]) ).
cnf(refute_0_231,plain,
A = set_union2(A,set_difference(A,X_91)),
inference(resolve,[$cnf( $equal(set_union2(A,empty_set),set_union2(A,set_intersection2(A,X_91))) )],[refute_0_194,refute_0_230]) ).
cnf(refute_0_232,plain,
( A != set_union2(A,set_difference(A,X_91))
| set_union2(A,set_difference(A,X_91)) = A ),
inference(subst,[],[refute_0_10:[bind(X,$fot(A)),bind(Y,$fot(set_union2(A,set_difference(A,X_91))))]]) ).
cnf(refute_0_233,plain,
set_union2(A,set_difference(A,X_91)) = A,
inference(resolve,[$cnf( $equal(A,set_union2(A,set_difference(A,X_91))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
set_union2(X_40,set_difference(X_40,B)) = X_40,
inference(subst,[],[refute_0_233:[bind(A,$fot(X_40)),bind(X_91,$fot(B))]]) ).
cnf(refute_0_235,plain,
( set_union2(X_40,set_difference(X_40,B)) != X_40
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) != set_union2(X_40,set_difference(X_40,B))
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = X_40 ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(X_40,B),set_intersection2(X_40,B)),set_union2(X_40,set_difference(X_40,B))) ),[1],$fot(X_40)]]) ).
cnf(refute_0_236,plain,
( set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) != set_union2(X_40,set_difference(X_40,B))
| set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = X_40 ),
inference(resolve,[$cnf( $equal(set_union2(X_40,set_difference(X_40,B)),X_40) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
set_union2(set_difference(X_40,B),set_intersection2(X_40,B)) = X_40,
inference(resolve,[$cnf( $equal(set_union2(set_difference(X_40,B),set_intersection2(X_40,B)),set_union2(X_40,set_difference(X_40,B))) )],[refute_0_16,refute_0_236]) ).
cnf(refute_0_238,plain,
set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2,
inference(subst,[],[refute_0_237:[bind(B,$fot(skolemFOFtoCNF_B_1)),bind(X_40,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_239,plain,
disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_240,plain,
( ~ disjoint(A,B)
| set_intersection2(A,B) = empty_set ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_241,plain,
( ~ disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = empty_set ),
inference(subst,[],[refute_0_240:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_242,plain,
set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = empty_set,
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) )],[refute_0_239,refute_0_241]) ).
cnf(refute_0_243,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != empty_set
| set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) != skolemFOFtoCNF_A_2
| set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) = skolemFOFtoCNF_A_2 ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),skolemFOFtoCNF_A_2) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_244,plain,
( set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) != skolemFOFtoCNF_A_2
| set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)),skolemFOFtoCNF_A_2) )],[refute_0_238,refute_0_244]) ).
cnf(refute_0_246,plain,
set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) = set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),
inference(subst,[],[refute_0_195:[bind(A,$fot(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_247,plain,
( set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) != set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)
| set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) != skolemFOFtoCNF_A_2
| set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2 ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set),skolemFOFtoCNF_A_2) ),[0],$fot(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_248,plain,
( set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set) != skolemFOFtoCNF_A_2
| set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set),set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1)) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),empty_set),skolemFOFtoCNF_A_2) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1) != skolemFOFtoCNF_A_2,
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_251,plain,
$false,
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) )],[refute_0_249,refute_0_250]) ).
fof(negate_1_0,plain,
~ ! [A,B] :
( set_difference(A,B) = A
=> disjoint(A,B) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( ! [A,B] :
( ~ disjoint(A,B)
| ! [C] : ~ in(C,set_intersection2(A,B)) )
& ! [A,B] :
( disjoint(A,B)
| ? [C] : in(C,set_intersection2(A,B)) ) ),
inference(canonicalize,[],[t4_xboole_0]) ).
fof(normalize_1_1,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] : in(C,set_intersection2(A,B)) ),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] : in(C,set_intersection2(A,B)) ),
inference(specialize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [A,B] :
( disjoint(A,B)
| in(skolemFOFtoCNF_C_3(A,B),set_intersection2(A,B)) ),
inference(clausify,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[t48_xboole_1]) ).
fof(normalize_1_5,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
? [A,B] :
( ~ disjoint(A,B)
& set_difference(A,B) = A ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_7,plain,
( ~ disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
& set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) = skolemFOFtoCNF_A_3 ),
inference(skolemize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) = skolemFOFtoCNF_A_3,
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A] : set_difference(A,empty_set) = A,
inference(canonicalize,[],[t3_boole]) ).
fof(normalize_1_10,plain,
! [A] : set_difference(A,empty_set) = A,
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[t2_boole]) ).
fof(normalize_1_12,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
~ disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_14,plain,
! [A] :
( A != empty_set
<=> ? [B] : in(B,A) ),
inference(canonicalize,[],[d1_xboole_0]) ).
fof(normalize_1_15,plain,
! [A] :
( A != empty_set
<=> ? [B] : in(B,A) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [A,B] :
( ( A != empty_set
| ~ in(B,A) )
& ( A = empty_set
| in(skolemFOFtoCNF_B(A),A) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [A,B] :
( A != empty_set
| ~ in(B,A) ),
inference(conjunct,[],[normalize_1_16]) ).
cnf(refute_1_0,plain,
( disjoint(A,B)
| in(skolemFOFtoCNF_C_3(A,B),set_intersection2(A,B)) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_1_2,plain,
set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_3,plain,
set_difference(skolemFOFtoCNF_A_3,set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),
inference(subst,[],[refute_1_2:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_1_4,plain,
set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) = skolemFOFtoCNF_A_3,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_5,plain,
( set_difference(skolemFOFtoCNF_A_3,set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) != set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) != skolemFOFtoCNF_A_3
| set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) ),[0,1],$fot(skolemFOFtoCNF_A_3)]]) ).
cnf(refute_1_6,plain,
( set_difference(skolemFOFtoCNF_A_3,set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) != set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),skolemFOFtoCNF_A_3) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) )],[refute_1_3,refute_1_6]) ).
cnf(refute_1_8,plain,
set_difference(X_201,set_difference(X_201,empty_set)) = set_intersection2(X_201,empty_set),
inference(subst,[],[refute_1_2:[bind(A,$fot(X_201)),bind(B,$fot(empty_set))]]) ).
cnf(refute_1_9,plain,
set_difference(A,empty_set) = A,
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_10,plain,
set_difference(X_201,empty_set) = X_201,
inference(subst,[],[refute_1_9:[bind(A,$fot(X_201))]]) ).
cnf(refute_1_11,plain,
( set_difference(X_201,empty_set) != X_201
| set_difference(X_201,set_difference(X_201,empty_set)) != set_intersection2(X_201,empty_set)
| set_difference(X_201,X_201) = set_intersection2(X_201,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_201,set_difference(X_201,empty_set)),set_intersection2(X_201,empty_set)) ),[0,1],$fot(X_201)]]) ).
cnf(refute_1_12,plain,
( set_difference(X_201,set_difference(X_201,empty_set)) != set_intersection2(X_201,empty_set)
| set_difference(X_201,X_201) = set_intersection2(X_201,empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(X_201,empty_set),X_201) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
set_difference(X_201,X_201) = set_intersection2(X_201,empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_201,set_difference(X_201,empty_set)),set_intersection2(X_201,empty_set)) )],[refute_1_8,refute_1_12]) ).
cnf(refute_1_14,plain,
set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_15,plain,
set_intersection2(X_201,empty_set) = empty_set,
inference(subst,[],[refute_1_14:[bind(A,$fot(X_201))]]) ).
cnf(refute_1_16,plain,
( set_difference(X_201,X_201) != set_intersection2(X_201,empty_set)
| set_intersection2(X_201,empty_set) != empty_set
| set_difference(X_201,X_201) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_201,X_201),empty_set) ),[0],$fot(set_intersection2(X_201,empty_set))]]) ).
cnf(refute_1_17,plain,
( set_difference(X_201,X_201) != set_intersection2(X_201,empty_set)
| set_difference(X_201,X_201) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(X_201,empty_set),empty_set) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
set_difference(X_201,X_201) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(X_201,X_201),set_intersection2(X_201,empty_set)) )],[refute_1_13,refute_1_17]) ).
cnf(refute_1_19,plain,
set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) = empty_set,
inference(subst,[],[refute_1_18:[bind(X_201,$fot(skolemFOFtoCNF_A_3))]]) ).
cnf(refute_1_20,plain,
( set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) != empty_set
| set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) != set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| empty_set = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) ),[0],$fot(empty_set)]]) ).
cnf(refute_1_21,plain,
( set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) != set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| empty_set = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3),empty_set) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
empty_set = set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) )],[refute_1_7,refute_1_21]) ).
cnf(refute_1_23,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_24,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_25,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_23,refute_1_24]) ).
cnf(refute_1_26,plain,
( empty_set != set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) = empty_set ),
inference(subst,[],[refute_1_25:[bind(X,$fot(empty_set)),bind(Y,$fot(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)))]]) ).
cnf(refute_1_27,plain,
set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) )],[refute_1_22,refute_1_26]) ).
cnf(refute_1_28,plain,
( set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) != empty_set
| ~ in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2))
| in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) ),[1],$fot(empty_set)]]) ).
cnf(refute_1_29,plain,
( ~ in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2))
| in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set) )],[refute_1_27,refute_1_28]) ).
cnf(refute_1_30,plain,
( disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)
| in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)) )],[refute_1_1,refute_1_29]) ).
cnf(refute_1_31,plain,
~ disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_32,plain,
in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set),
inference(resolve,[$cnf( disjoint(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2) )],[refute_1_30,refute_1_31]) ).
cnf(refute_1_33,plain,
( A != empty_set
| ~ in(B,A) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_34,plain,
( empty_set != empty_set
| ~ in(B,empty_set) ),
inference(subst,[],[refute_1_33:[bind(A,$fot(empty_set))]]) ).
cnf(refute_1_35,plain,
empty_set = empty_set,
introduced(tautology,[refl,[$fot(empty_set)]]) ).
cnf(refute_1_36,plain,
~ in(B,empty_set),
inference(resolve,[$cnf( $equal(empty_set,empty_set) )],[refute_1_35,refute_1_34]) ).
cnf(refute_1_37,plain,
~ in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set),
inference(subst,[],[refute_1_36:[bind(B,$fot(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2)))]]) ).
cnf(refute_1_38,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_3(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_2),empty_set) )],[refute_1_32,refute_1_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 02:17:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.49/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66
% 0.49/0.66 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.49/0.69
%------------------------------------------------------------------------------