TSTP Solution File: SET983+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 03:38:46 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 49 unt; 0 def)
% Number of atoms : 192 ( 122 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 175 ( 78 ~; 73 |; 15 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 236 ( 1 sgn 55 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
fof(d3_xboole_0,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ) ).
fof(idempotence_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,A) = A ).
fof(t123_zfmisc_1,axiom,
! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) ).
fof(t137_zfmisc_1,conjecture,
! [A,B,C,D,E] :
( ( in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) )
=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ) ).
fof(subgoal_0,plain,
! [A,B,C,D,E] :
( ( in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) )
=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ),
inference(strip,[],[t137_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D,E] :
( ( in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) )
=> in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E))) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C,D,E] :
( ~ in(A,cartesian_product2(set_intersection2(B,D),set_intersection2(C,E)))
& in(A,cartesian_product2(B,C))
& in(A,cartesian_product2(D,E)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)))
& in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
& in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(canonicalize,[],[d3_xboole_0]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,A) )
& ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,B) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D(A,B,C),A)
| in(skolemFOFtoCNF_D(A,B,C),C) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D(A,B,C),B)
| in(skolemFOFtoCNF_D(A,B,C),C) )
& ( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) )
& ( ~ in(skolemFOFtoCNF_D(A,B,C),A)
| ~ in(skolemFOFtoCNF_D(A,B,C),B)
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = set_intersection2(A,B) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)),
inference(canonicalize,[],[t123_zfmisc_1]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] : cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_11,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A] : set_intersection2(A,A) = A,
inference(canonicalize,[],[idempotence_k3_xboole_0]) ).
fof(normalize_0_13,plain,
! [A] : set_intersection2(A,A) = A,
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
~ in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( set_intersection2(A,B) != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,set_intersection2(A,B)) ),
inference(subst,[],[refute_0_2:[bind(C,$fot(set_intersection2(A,B)))]]) ).
cnf(refute_0_4,plain,
set_intersection2(A,B) = set_intersection2(A,B),
introduced(tautology,[refl,[$fot(set_intersection2(A,B))]]) ).
cnf(refute_0_5,plain,
( ~ in(D,A)
| ~ in(D,B)
| in(D,set_intersection2(A,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(A,B)) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
( ~ in(skolemFOFtoCNF_A_2,X_41)
| ~ in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_A_2,set_intersection2(X_41,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_41)),bind(B,$fot(cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),bind(D,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_7,plain,
( ~ in(skolemFOFtoCNF_A_2,X_41)
| in(skolemFOFtoCNF_A_2,set_intersection2(X_41,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_1,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E))
| in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),
inference(subst,[],[refute_0_7:[bind(X_41,$fot(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_9,plain,
in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_2,cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E)) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_11,plain,
cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) = set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)),
inference(subst,[],[refute_0_10:[bind(A,$fot(X_20)),bind(B,$fot(X_21)),bind(C,$fot(X_22)),bind(D,$fot(X_23))]]) ).
cnf(refute_0_12,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_13,plain,
set_intersection2(X_21,X_20) = set_intersection2(X_20,X_21),
inference(subst,[],[refute_0_12:[bind(A,$fot(X_21)),bind(B,$fot(X_20))]]) ).
cnf(refute_0_14,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_15,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_16,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( set_intersection2(X_21,X_20) != set_intersection2(X_20,X_21)
| set_intersection2(X_20,X_21) = set_intersection2(X_21,X_20) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(set_intersection2(X_21,X_20))),bind(Y,$fot(set_intersection2(X_20,X_21)))]]) ).
cnf(refute_0_18,plain,
set_intersection2(X_20,X_21) = set_intersection2(X_21,X_20),
inference(resolve,[$cnf( $equal(set_intersection2(X_21,X_20),set_intersection2(X_20,X_21)) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| set_intersection2(X_20,X_21) != set_intersection2(X_21,X_20)
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))) ),[0,0],$fot(set_intersection2(X_21,X_20))]]) ).
cnf(refute_0_20,plain,
( cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_20,X_21),set_intersection2(X_21,X_20)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))) )],[refute_0_11,refute_0_20]) ).
cnf(refute_0_22,plain,
( cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) != set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))
| set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)))),bind(Y,$fot(set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))))]]) ).
cnf(refute_0_23,plain,
set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))) )],[refute_0_10,refute_0_22]) ).
cnf(refute_0_24,plain,
set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_20)),bind(B,$fot(X_21)),bind(C,$fot(X_22)),bind(D,$fot(X_23))]]) ).
cnf(refute_0_25,plain,
( cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) ),[0],$fot(set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)))]]) ).
cnf(refute_0_26,plain,
( cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)),set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
cartesian_product2(set_intersection2(X_29,X_28),set_intersection2(X_31,X_31)) = cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),
inference(subst,[],[refute_0_27:[bind(X_20,$fot(X_28)),bind(X_21,$fot(X_29)),bind(X_22,$fot(X_31)),bind(X_23,$fot(X_31))]]) ).
cnf(refute_0_29,plain,
set_intersection2(A,A) = A,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_30,plain,
set_intersection2(X_31,X_31) = X_31,
inference(subst,[],[refute_0_29:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_31,plain,
( cartesian_product2(set_intersection2(X_29,X_28),set_intersection2(X_31,X_31)) != cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))
| set_intersection2(X_31,X_31) != X_31
| cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_29,X_28),set_intersection2(X_31,X_31)),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_32,plain,
( cartesian_product2(set_intersection2(X_29,X_28),set_intersection2(X_31,X_31)) != cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))
| cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_31,X_31),X_31) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_29,X_28),set_intersection2(X_31,X_31)),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) = cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),
introduced(tautology,[refl,[$fot(cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)))]]) ).
cnf(refute_0_35,plain,
( cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) != cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))
| set_intersection2(X_31,X_31) != X_31
| cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) = cartesian_product2(set_intersection2(X_28,X_29),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) ),[1,1],$fot(X_31)]]) ).
cnf(refute_0_36,plain,
( set_intersection2(X_31,X_31) != X_31
| cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) = cartesian_product2(set_intersection2(X_28,X_29),X_31) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) = cartesian_product2(set_intersection2(X_28,X_29),X_31),
inference(resolve,[$cnf( $equal(set_intersection2(X_31,X_31),X_31) )],[refute_0_30,refute_0_36]) ).
cnf(refute_0_38,plain,
( cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)) != cartesian_product2(set_intersection2(X_28,X_29),X_31)
| cartesian_product2(set_intersection2(X_29,X_28),X_31) != cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))
| cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_29,X_28),X_31),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) ),[1],$fot(cartesian_product2(set_intersection2(X_28,X_29),X_31))]]) ).
cnf(refute_0_39,plain,
( cartesian_product2(set_intersection2(X_29,X_28),X_31) != cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))
| cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),X_31) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31)),cartesian_product2(set_intersection2(X_28,X_29),X_31)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
cartesian_product2(set_intersection2(X_29,X_28),X_31) = cartesian_product2(set_intersection2(X_28,X_29),X_31),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_29,X_28),X_31),cartesian_product2(set_intersection2(X_28,X_29),set_intersection2(X_31,X_31))) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
( cartesian_product2(set_intersection2(X_29,X_28),X_31) != cartesian_product2(set_intersection2(X_28,X_29),X_31)
| cartesian_product2(set_intersection2(X_28,X_29),X_31) = cartesian_product2(set_intersection2(X_29,X_28),X_31) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(cartesian_product2(set_intersection2(X_29,X_28),X_31))),bind(Y,$fot(cartesian_product2(set_intersection2(X_28,X_29),X_31)))]]) ).
cnf(refute_0_42,plain,
cartesian_product2(set_intersection2(X_28,X_29),X_31) = cartesian_product2(set_intersection2(X_29,X_28),X_31),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_29,X_28),X_31),cartesian_product2(set_intersection2(X_28,X_29),X_31)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_42:[bind(X_28,$fot(skolemFOFtoCNF_D_1)),bind(X_29,$fot(skolemFOFtoCNF_B)),bind(X_31,$fot(set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_44,plain,
set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) = set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)),
inference(subst,[],[refute_0_12:[bind(A,$fot(cartesian_product2(X_21,X_23))),bind(B,$fot(cartesian_product2(X_20,X_22)))]]) ).
cnf(refute_0_45,plain,
( set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)),set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))) ),[1],$fot(cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)))]]) ).
cnf(refute_0_46,plain,
( set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) != set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))
| set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) )],[refute_0_24,refute_0_45]) ).
cnf(refute_0_47,plain,
set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)),set_intersection2(cartesian_product2(X_20,X_22),cartesian_product2(X_21,X_23))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_21)),bind(B,$fot(X_20)),bind(C,$fot(X_23)),bind(D,$fot(X_22))]]) ).
cnf(refute_0_49,plain,
( set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) != cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) ),[0],$fot(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)))]]) ).
cnf(refute_0_50,plain,
( set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)),cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(X_21,X_23),cartesian_product2(X_20,X_22)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)),
inference(subst,[],[refute_0_40:[bind(X_28,$fot(X_21)),bind(X_29,$fot(X_20)),bind(X_31,$fot(set_intersection2(X_22,X_23)))]]) ).
cnf(refute_0_53,plain,
( cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)) != cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) ),[1],$fot(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)))]]) ).
cnf(refute_0_54,plain,
( cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) != cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23)),cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)),cartesian_product2(set_intersection2(X_20,X_21),set_intersection2(X_22,X_23))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) != cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23))
| cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)))),bind(Y,$fot(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23))))]]) ).
cnf(refute_0_57,plain,
cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23)) = cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_23,X_22)),cartesian_product2(set_intersection2(X_21,X_20),set_intersection2(X_22,X_23))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)),
inference(subst,[],[refute_0_57:[bind(X_20,$fot(skolemFOFtoCNF_B)),bind(X_21,$fot(skolemFOFtoCNF_D_1)),bind(X_22,$fot(skolemFOFtoCNF_E)),bind(X_23,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_16,refute_0_59]) ).
cnf(refute_0_61,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_60:[bind(X,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)))),bind(Y,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)))),bind(Z,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))))]]) ).
cnf(refute_0_62,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)),cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)),cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) )],[refute_0_43,refute_0_62]) ).
cnf(refute_0_64,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)),
inference(subst,[],[refute_0_23:[bind(A,$fot(skolemFOFtoCNF_D_1)),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_E)),bind(D,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_65,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) ),
inference(subst,[],[refute_0_60:[bind(X,$fot(set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))),bind(Y,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)))),bind(Z,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))))]]) ).
cnf(refute_0_66,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B),set_intersection2(skolemFOFtoCNF_E,skolemFOFtoCNF_C)),cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))
| ~ in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) ),[1],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E)))]]) ).
cnf(refute_0_69,plain,
( ~ in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))
| in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))),
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_2,set_intersection2(cartesian_product2(skolemFOFtoCNF_D_1,skolemFOFtoCNF_E),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_C))) )],[refute_0_9,refute_0_69]) ).
cnf(refute_0_71,plain,
~ in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_72,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_A_2,cartesian_product2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D_1),set_intersection2(skolemFOFtoCNF_C,skolemFOFtoCNF_E))) )],[refute_0_70,refute_0_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET983+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 14:56:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51
%------------------------------------------------------------------------------