TSTP Solution File: SET984+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n006.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 : Timeout 290.24s 290.43s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 49
% Syntax : Number of formulae : 234 ( 111 unt; 0 def)
% Number of atoms : 446 ( 369 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 390 ( 178 ~; 170 |; 30 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 348 ( 16 sgn 128 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
fof(idempotence_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,A) = A ).
fof(t113_zfmisc_1,axiom,
! [A,B] :
( cartesian_product2(A,B) = empty_set
<=> ( A = empty_set
| B = empty_set ) ) ).
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(t134_zfmisc_1,axiom,
! [A,B,C,D] :
( cartesian_product2(A,B) = cartesian_product2(C,D)
=> ( A = empty_set
| B = empty_set
| ( A = C
& B = D ) ) ) ).
fof(t138_zfmisc_1,conjecture,
! [A,B,C,D] :
( subset(cartesian_product2(A,B),cartesian_product2(C,D))
=> ( cartesian_product2(A,B) = empty_set
| ( subset(A,C)
& subset(B,D) ) ) ) ).
fof(t17_xboole_1,axiom,
! [A,B] : subset(set_intersection2(A,B),A) ).
fof(t28_xboole_1,axiom,
! [A,B] :
( subset(A,B)
=> set_intersection2(A,B) = A ) ).
fof(subgoal_0,plain,
! [A,B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
& cartesian_product2(A,B) != empty_set )
=> subset(A,C) ),
inference(strip,[],[t138_zfmisc_1]) ).
fof(subgoal_1,plain,
! [A,B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
& cartesian_product2(A,B) != empty_set
& subset(A,C) )
=> subset(B,D) ),
inference(strip,[],[t138_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
& cartesian_product2(A,B) != empty_set )
=> subset(A,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(canonicalize,[],[t17_xboole_1]) ).
fof(normalize_0_1,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_3,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = empty_set
| B = empty_set
| ( A = C
& B = D ) ),
inference(canonicalize,[],[t134_zfmisc_1]) ).
fof(normalize_0_5,plain,
! [A,B] :
( cartesian_product2(A,B) != empty_set
<=> ( A != empty_set
& B != empty_set ) ),
inference(canonicalize,[],[t113_zfmisc_1]) ).
fof(normalize_0_6,plain,
! [A,B] :
( cartesian_product2(A,B) != empty_set
<=> ( A != empty_set
& B != empty_set ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| cartesian_product2(A,B) = empty_set
| ( A = C
& B = D ) ),
inference(simplify,[],[normalize_0_4,normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| cartesian_product2(A,B) = empty_set
| ( A = C
& B = D ) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( ( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = C
| cartesian_product2(A,B) = empty_set )
& ( cartesian_product2(A,B) != cartesian_product2(C,D)
| B = D
| cartesian_product2(A,B) = empty_set ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = C
| cartesian_product2(A,B) = empty_set ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,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_12,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_11]) ).
fof(normalize_0_13,plain,
? [A,B,C] :
( cartesian_product2(A,B) != empty_set
& ~ subset(A,C)
& ? [D] : subset(cartesian_product2(A,B),cartesian_product2(C,D)) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != empty_set
& ~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)
& ? [D] : subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,D)) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
? [D] : subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,D)),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)),
inference(skolemize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[t28_xboole_1]) ).
fof(normalize_0_18,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A] : set_intersection2(A,A) = A,
inference(canonicalize,[],[idempotence_k3_xboole_0]) ).
fof(normalize_0_20,plain,
! [A] : set_intersection2(A,A) = A,
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != empty_set,
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_22,plain,
~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
subset(set_intersection2(A,B),A),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,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_3,plain,
( ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
subset(set_intersection2(B,A),A),
inference(resolve,[$cnf( subset(set_intersection2(A,B),A) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
subset(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_C),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_C)),bind(B,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_6,plain,
( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = C
| cartesian_product2(A,B) = empty_set ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = empty_set
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = X_4603 ),
inference(subst,[],[refute_0_6:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))),bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_4603)),bind(D,$fot(X_4604))]]) ).
cnf(refute_0_8,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_12]) ).
cnf(refute_0_9,plain,
cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = set_intersection2(cartesian_product2(A,C),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),
inference(subst,[],[refute_0_8:[bind(B,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))),bind(D,$fot(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_10,plain,
subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_11,plain,
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_12,plain,
( ~ subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))),bind(B,$fot(cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_13,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( subset(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
X = X,
introduced(tautology,[refl,[$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( $equal(X,X) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) != set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))
| set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)))),bind(Y,$fot(set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))))]]) ).
cnf(refute_0_18,plain,
set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(skolemFOFtoCNF_B)),bind(D,$fot(skolemFOFtoCNF_D))]]) ).
cnf(refute_0_20,plain,
( set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) ),[0],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_21,plain,
( set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_C,skolemFOFtoCNF_D)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_13,refute_0_21]) ).
cnf(refute_0_23,plain,
( cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != set_intersection2(cartesian_product2(A,C),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),set_intersection2(cartesian_product2(A,C),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))) ),[1,1],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_24,plain,
( cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != set_intersection2(cartesian_product2(A,C),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))
| cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),set_intersection2(cartesian_product2(A,C),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))) )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_18:[bind(B,$fot(skolemFOFtoCNF_A_2)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_27,plain,
( cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))
| set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) != cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B))) ),[0],$fot(set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_28,plain,
( cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)),cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(A,skolemFOFtoCNF_A_2),set_intersection2(C,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(A,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(C,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),set_intersection2(cartesian_product2(A,C),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_29:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(C,$fot(X_39))]]) ).
cnf(refute_0_31,plain,
subset(set_intersection2(X_31,B),X_31),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_31))]]) ).
cnf(refute_0_32,plain,
( ~ subset(set_intersection2(X_31,B),X_31)
| set_intersection2(set_intersection2(X_31,B),X_31) = set_intersection2(X_31,B) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(set_intersection2(X_31,B))),bind(B,$fot(X_31))]]) ).
cnf(refute_0_33,plain,
set_intersection2(set_intersection2(X_31,B),X_31) = set_intersection2(X_31,B),
inference(resolve,[$cnf( subset(set_intersection2(X_31,B),X_31) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| set_intersection2(B,A) = set_intersection2(A,B) ),
inference(subst,[],[refute_0_16:[bind(X,$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( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_1,refute_0_34]) ).
cnf(refute_0_36,plain,
set_intersection2(set_intersection2(X_31,B),X_31) = set_intersection2(X_31,set_intersection2(X_31,B)),
inference(subst,[],[refute_0_35:[bind(A,$fot(X_31)),bind(B,$fot(set_intersection2(X_31,B)))]]) ).
cnf(refute_0_37,plain,
( set_intersection2(set_intersection2(X_31,B),X_31) != set_intersection2(X_31,B)
| set_intersection2(set_intersection2(X_31,B),X_31) != set_intersection2(X_31,set_intersection2(X_31,B))
| set_intersection2(X_31,set_intersection2(X_31,B)) = set_intersection2(X_31,B) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(set_intersection2(X_31,B),X_31),set_intersection2(X_31,B)) ),[0],$fot(set_intersection2(X_31,set_intersection2(X_31,B)))]]) ).
cnf(refute_0_38,plain,
( set_intersection2(set_intersection2(X_31,B),X_31) != set_intersection2(X_31,B)
| set_intersection2(X_31,set_intersection2(X_31,B)) = set_intersection2(X_31,B) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_31,B),X_31),set_intersection2(X_31,set_intersection2(X_31,B))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
set_intersection2(X_31,set_intersection2(X_31,B)) = set_intersection2(X_31,B),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(X_31,B),X_31),set_intersection2(X_31,B)) )],[refute_0_33,refute_0_38]) ).
cnf(refute_0_40,plain,
set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_39:[bind(B,$fot(skolemFOFtoCNF_C)),bind(X_31,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_41,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[0,0],$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_42,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_30,refute_0_42]) ).
cnf(refute_0_44,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_29:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))),bind(C,$fot(X_39))]]) ).
cnf(refute_0_45,plain,
set_intersection2(A,A) = A,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_46,plain,
set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) = set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_45:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_47,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[0,0],$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_48,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_44,refute_0_48]) ).
cnf(refute_0_50,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)),
introduced(tautology,[refl,[$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)))]]) ).
cnf(refute_0_51,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39))
| set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39))) ),[1,0],$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_52,plain,
( set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) != set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) )],[refute_0_40,refute_0_52]) ).
cnf(refute_0_54,plain,
cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_29:[bind(A,$fot(X_38)),bind(C,$fot(X_39))]]) ).
cnf(refute_0_55,plain,
set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39) = set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),
inference(subst,[],[refute_0_1:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),bind(B,$fot(X_39))]]) ).
cnf(refute_0_56,plain,
( set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39) != set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))
| set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) = set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39))),bind(Y,$fot(set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))))]]) ).
cnf(refute_0_57,plain,
set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) = set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) != set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)
| cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[0,1],$fot(set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39))]]) ).
cnf(refute_0_59,plain,
( cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = set_intersection2(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(B,D)),
inference(subst,[],[refute_0_8:[bind(A,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))),bind(C,$fot(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)))]]) ).
cnf(refute_0_62,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) != set_intersection2(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(B,D))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)),set_intersection2(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(B,D))) ),[1,0],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_63,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) != set_intersection2(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(B,D))
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_22,refute_0_62]) ).
cnf(refute_0_64,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)),set_intersection2(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D)),cartesian_product2(B,D))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D)),
inference(subst,[],[refute_0_18:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(C,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_66,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) != set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D))
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D))) ),[0],$fot(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)))]]) ).
cnf(refute_0_67,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) != set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D))
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D)) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,B),set_intersection2(skolemFOFtoCNF_B,D)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),B),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),D)),set_intersection2(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(B,D))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37)),
inference(subst,[],[refute_0_68:[bind(B,$fot(X_36)),bind(D,$fot(X_37))]]) ).
cnf(refute_0_70,plain,
set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) = set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),
inference(subst,[],[refute_0_1:[bind(A,$fot(X_36)),bind(B,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_71,plain,
( set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) != set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36)
| set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36) = set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)))),bind(Y,$fot(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36)))]]) ).
cnf(refute_0_72,plain,
set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36) = set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( $equal(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37))
| set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36) != set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))
| cartesian_product2(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37))) ),[0,0],$fot(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_74,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37))
| cartesian_product2(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
cartesian_product2(set_intersection2(X_36,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),X_36),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_37)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_36),set_intersection2(skolemFOFtoCNF_B,X_37))) )],[refute_0_69,refute_0_74]) ).
cnf(refute_0_76,plain,
cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(subst,[],[refute_0_75:[bind(X_36,$fot(X_38)),bind(X_37,$fot(X_39))]]) ).
cnf(refute_0_77,plain,
( cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) != cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)),cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[0],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)))]]) ).
cnf(refute_0_78,plain,
( cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)) != cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(X_38,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D),X_39)),cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_60,refute_0_78]) ).
cnf(refute_0_80,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)))),bind(Y,$fot(cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))))]]) ).
cnf(refute_0_81,plain,
cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,X_38),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(X_38,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(subst,[],[refute_0_81:[bind(X_38,$fot(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_83,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_84,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_16,refute_0_83]) ).
cnf(refute_0_85,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
inference(subst,[],[refute_0_84:[bind(X,$fot(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)))),bind(Y,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)))),bind(Z,$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))))]]) ).
cnf(refute_0_86,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C)),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_53,refute_0_86]) ).
cnf(refute_0_88,plain,
( cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[1],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)))]]) ).
cnf(refute_0_89,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_49,refute_0_89]) ).
cnf(refute_0_91,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[0],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)))]]) ).
cnf(refute_0_92,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) = skolemFOFtoCNF_A_2,
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_94,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),
introduced(tautology,[refl,[$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_95,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[1,0],$fot(skolemFOFtoCNF_A_2)]]) ).
cnf(refute_0_96,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) ),[1],$fot(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_99,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_92,refute_0_99]) ).
cnf(refute_0_101,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,X_39)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(X_39,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(X_39,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_D))),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),set_intersection2(X_39,skolemFOFtoCNF_B))) )],[refute_0_43,refute_0_100]) ).
cnf(refute_0_102,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_101:[bind(X_39,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_103,plain,
set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = skolemFOFtoCNF_B,
inference(subst,[],[refute_0_45:[bind(A,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_104,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) ),[0,1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_105,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
introduced(tautology,[refl,[$fot(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_108,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) ),[1,1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_109,plain,
( set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_103,refute_0_109]) ).
cnf(refute_0_111,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_112,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,set_intersection2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))) )],[refute_0_106,refute_0_112]) ).
cnf(refute_0_114,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(X_4603,X_4604) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(X_4603,X_4604)) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_115,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = cartesian_product2(X_4603,X_4604) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) = empty_set
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = X_4603 ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(X_4603,X_4604)) )],[refute_0_115,refute_0_7]) ).
cnf(refute_0_117,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != empty_set
| cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),empty_set) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_118,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B) != empty_set
| cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) = empty_set ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_113,refute_0_117]) ).
cnf(refute_0_119,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) = empty_set
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = X_4603 ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_B),empty_set) )],[refute_0_116,refute_0_118]) ).
cnf(refute_0_120,plain,
cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != empty_set,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_121,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(X_4603,X_4604)
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = X_4603 ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),empty_set) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)
| set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_121:[bind(X_4603,$fot(skolemFOFtoCNF_A_2)),bind(X_4604,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_123,plain,
cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),
introduced(tautology,[refl,[$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_124,plain,
set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) )],[refute_0_123,refute_0_122]) ).
cnf(refute_0_125,plain,
( set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) != skolemFOFtoCNF_A_2
| ~ subset(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_C) ),[0],$fot(skolemFOFtoCNF_A_2)]]) ).
cnf(refute_0_126,plain,
( ~ subset(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_A_2) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),
inference(resolve,[$cnf( subset(set_intersection2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),skolemFOFtoCNF_C) )],[refute_0_5,refute_0_126]) ).
cnf(refute_0_128,plain,
~ subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_129,plain,
$false,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A_2,skolemFOFtoCNF_C) )],[refute_0_127,refute_0_128]) ).
fof(negate_1_0,plain,
~ ! [A,B,C,D] :
( ( subset(cartesian_product2(A,B),cartesian_product2(C,D))
& cartesian_product2(A,B) != empty_set
& subset(A,C) )
=> subset(B,D) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(canonicalize,[],[t17_xboole_1]) ).
fof(normalize_1_1,plain,
! [A,B] : subset(set_intersection2(A,B),A),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_1_3,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = empty_set
| B = empty_set
| ( A = C
& B = D ) ),
inference(canonicalize,[],[t134_zfmisc_1]) ).
fof(normalize_1_5,plain,
! [A,B] :
( cartesian_product2(A,B) != empty_set
<=> ( A != empty_set
& B != empty_set ) ),
inference(canonicalize,[],[t113_zfmisc_1]) ).
fof(normalize_1_6,plain,
! [A,B] :
( cartesian_product2(A,B) != empty_set
<=> ( A != empty_set
& B != empty_set ) ),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| cartesian_product2(A,B) = empty_set
| ( A = C
& B = D ) ),
inference(simplify,[],[normalize_1_4,normalize_1_6]) ).
fof(normalize_1_8,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| cartesian_product2(A,B) = empty_set
| ( A = C
& B = D ) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A,B,C,D] :
( ( cartesian_product2(A,B) != cartesian_product2(C,D)
| A = C
| cartesian_product2(A,B) = empty_set )
& ( cartesian_product2(A,B) != cartesian_product2(C,D)
| B = D
| cartesian_product2(A,B) = empty_set ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [A,B,C,D] :
( cartesian_product2(A,B) != cartesian_product2(C,D)
| B = D
| cartesian_product2(A,B) = empty_set ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
? [A,B,C,D] :
( cartesian_product2(A,B) != empty_set
& ~ subset(B,D)
& subset(A,C)
& subset(cartesian_product2(A,B),cartesian_product2(C,D)) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_12,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != empty_set
& ~ subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)
& subset(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1))
& subset(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
subset(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[t28_xboole_1]) ).
fof(normalize_1_15,plain,
! [A,B] :
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,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_1_17,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_1_16]) ).
fof(normalize_1_18,plain,
subset(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_19,plain,
cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != empty_set,
inference(conjunct,[],[normalize_1_12]) ).
fof(normalize_1_20,plain,
~ subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_1_12]) ).
cnf(refute_1_0,plain,
subset(set_intersection2(A,B),A),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,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_1_3,plain,
( ~ subset(set_intersection2(A,B),A)
| subset(set_intersection2(B,A),A) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_1_1,refute_1_2]) ).
cnf(refute_1_4,plain,
subset(set_intersection2(B,A),A),
inference(resolve,[$cnf( subset(set_intersection2(A,B),A) )],[refute_1_0,refute_1_3]) ).
cnf(refute_1_5,plain,
subset(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_D_1),
inference(subst,[],[refute_1_4:[bind(A,$fot(skolemFOFtoCNF_D_1)),bind(B,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_6,plain,
( cartesian_product2(A,B) != cartesian_product2(C,D)
| B = D
| cartesian_product2(A,B) = empty_set ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_7,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(X_7735,X_7736)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = empty_set
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = X_7736 ),
inference(subst,[],[refute_1_6:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))),bind(C,$fot(X_7735)),bind(D,$fot(X_7736))]]) ).
cnf(refute_1_8,plain,
subset(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_9,plain,
( ~ subset(A,B)
| set_intersection2(A,B) = A ),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_10,plain,
( ~ subset(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_1_9:[bind(A,$fot(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1))),bind(B,$fot(cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_1_11,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( subset(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) )],[refute_1_8,refute_1_10]) ).
cnf(refute_1_12,plain,
cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) = set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) != set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))
| set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)))),bind(Y,$fot(set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))))]]) ).
cnf(refute_1_17,plain,
set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D)) = cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(A,B),set_intersection2(C,D)),set_intersection2(cartesian_product2(A,C),cartesian_product2(B,D))) )],[refute_1_12,refute_1_16]) ).
cnf(refute_1_18,plain,
set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_1_17:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(C,$fot(skolemFOFtoCNF_B_1)),bind(D,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_1_19,plain,
( set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))
| set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) ),[0],$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_1_20,plain,
( set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( $equal(set_intersection2(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_C_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) )],[refute_1_11,refute_1_20]) ).
cnf(refute_1_22,plain,
subset(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_23,plain,
( ~ subset(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1)
| set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) = skolemFOFtoCNF_A_3 ),
inference(subst,[],[refute_1_9:[bind(A,$fot(skolemFOFtoCNF_A_3)),bind(B,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_1_24,plain,
set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) = skolemFOFtoCNF_A_3,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) )],[refute_1_22,refute_1_23]) ).
cnf(refute_1_25,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),
introduced(tautology,[refl,[$fot(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_1_26,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))
| set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) != skolemFOFtoCNF_A_3
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))) ),[1,0],$fot(skolemFOFtoCNF_A_3)]]) ).
cnf(refute_1_27,plain,
( set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1) != skolemFOFtoCNF_A_3
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),skolemFOFtoCNF_A_3) )],[refute_1_24,refute_1_27]) ).
cnf(refute_1_29,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))
| cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_1_30,plain,
( cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1))) )],[refute_1_28,refute_1_29]) ).
cnf(refute_1_31,plain,
cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( $equal(cartesian_product2(set_intersection2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) )],[refute_1_21,refute_1_30]) ).
cnf(refute_1_32,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(X_7735,X_7736)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(X_7735,X_7736) ),
introduced(tautology,[equality,[$cnf( ~ $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(X_7735,X_7736)) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_33,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(X_7735,X_7736)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = cartesian_product2(X_7735,X_7736) ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(X_7735,X_7736)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) = empty_set
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = X_7736 ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(X_7735,X_7736)) )],[refute_1_33,refute_1_7]) ).
cnf(refute_1_35,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != empty_set
| cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),empty_set) ),[0],$fot(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_36,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)) != empty_set
| cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) = empty_set ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) )],[refute_1_31,refute_1_35]) ).
cnf(refute_1_37,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(X_7735,X_7736)
| cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) = empty_set
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = X_7736 ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1)),empty_set) )],[refute_1_34,refute_1_36]) ).
cnf(refute_1_38,plain,
cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != empty_set,
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_39,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(X_7735,X_7736)
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = X_7736 ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),empty_set) )],[refute_1_37,refute_1_38]) ).
cnf(refute_1_40,plain,
( cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) != cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)
| set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = skolemFOFtoCNF_B_1 ),
inference(subst,[],[refute_1_39:[bind(X_7735,$fot(skolemFOFtoCNF_A_3)),bind(X_7736,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_41,plain,
cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1) = cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),
introduced(tautology,[refl,[$fot(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1))]]) ).
cnf(refute_1_42,plain,
set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) = skolemFOFtoCNF_B_1,
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1),cartesian_product2(skolemFOFtoCNF_A_3,skolemFOFtoCNF_B_1)) )],[refute_1_41,refute_1_40]) ).
cnf(refute_1_43,plain,
( set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) != skolemFOFtoCNF_B_1
| ~ subset(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_D_1)
| subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) ),
introduced(tautology,[equality,[$cnf( subset(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_D_1) ),[0],$fot(skolemFOFtoCNF_B_1)]]) ).
cnf(refute_1_44,plain,
( ~ subset(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_D_1)
| subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_B_1) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),
inference(resolve,[$cnf( subset(set_intersection2(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),skolemFOFtoCNF_D_1) )],[refute_1_5,refute_1_44]) ).
cnf(refute_1_46,plain,
~ subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_47,plain,
$false,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_D_1) )],[refute_1_45,refute_1_46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n006.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 06:35:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 290.24/290.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 290.24/290.43
% 290.24/290.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 290.24/290.44
%------------------------------------------------------------------------------