%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU162+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:38:55 EDT 2022
% Result : Theorem 26.62s 26.82s
% Output : CNFRefutation 26.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 45
% Syntax : Number of formulae : 230 ( 109 unt; 0 def)
% Number of atoms : 414 ( 305 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 346 ( 162 ~; 146 |; 19 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 365 ( 12 sgn 108 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k2_xboole_0,axiom,
! [A,B] : set_union2(A,B) = set_union2(B,A) ).
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
fof(d1_tarski,axiom,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ) ).
fof(l1_zfmisc_1,lemma,
! [A] : singleton(A) != empty_set ).
fof(l2_zfmisc_1,lemma,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ) ).
fof(t12_xboole_1,lemma,
! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ) ).
fof(t2_boole,axiom,
! [A] : set_intersection2(A,empty_set) = empty_set ).
fof(t37_zfmisc_1,lemma,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ) ).
fof(t39_xboole_1,lemma,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B) ).
fof(t3_boole,axiom,
! [A] : set_difference(A,empty_set) = A ).
fof(t3_xboole_0,lemma,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ) ).
fof(t40_xboole_1,lemma,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B) ).
fof(t48_xboole_1,lemma,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B) ).
fof(t65_zfmisc_1,conjecture,
! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ) ).
fof(t83_xboole_1,lemma,
! [A,B] :
( disjoint(A,B)
<=> set_difference(A,B) = A ) ).
fof(subgoal_0,plain,
! [A,B] :
( set_difference(A,singleton(B)) = A
=> ~ in(B,A) ),
inference(strip,[],[t65_zfmisc_1]) ).
fof(subgoal_1,plain,
! [A,B] :
( ~ in(B,A)
=> set_difference(A,singleton(B)) = A ),
inference(strip,[],[t65_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( set_difference(A,singleton(B)) = A
=> ~ in(B,A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[t40_xboole_1]) ).
fof(normalize_0_1,plain,
! [A,B] : set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[t39_xboole_1]) ).
fof(normalize_0_3,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[commutativity_k2_xboole_0]) ).
fof(normalize_0_5,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[t48_xboole_1]) ).
fof(normalize_0_7,plain,
! [A,B] : set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : set_difference(A,empty_set) = A,
inference(canonicalize,[],[t3_boole]) ).
fof(normalize_0_9,plain,
! [A] : set_difference(A,empty_set) = A,
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[t2_boole]) ).
fof(normalize_0_11,plain,
! [A] : set_intersection2(A,empty_set) = empty_set,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
? [A,B] :
( set_difference(A,singleton(B)) = A
& in(B,A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_13,plain,
( set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2
& in(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2) ),
inference(skolemize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
in(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(canonicalize,[],[t37_zfmisc_1]) ).
fof(normalize_0_16,plain,
! [A,B] :
( ~ in(A,B)
<=> ~ subset(singleton(A),B) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B] :
( ( ~ in(A,B)
| subset(singleton(A),B) )
& ( ~ subset(singleton(A),B)
| in(A,B) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B] :
( ~ in(A,B)
| subset(singleton(A),B) ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [A,B] :
( ~ subset(A,B)
| set_union2(A,B) = B ),
inference(canonicalize,[],[t12_xboole_1]) ).
fof(normalize_0_20,plain,
! [A,B] :
( ~ subset(A,B)
| set_union2(A,B) = B ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_22,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_24,plain,
! [A] : singleton(A) != empty_set,
inference(canonicalize,[],[l1_zfmisc_1]) ).
fof(normalize_0_25,plain,
! [A] : singleton(A) != empty_set,
inference(specialize,[],[normalize_0_24]) ).
cnf(refute_0_0,plain,
set_difference(set_union2(A,B),B) = set_difference(A,B),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
set_difference(set_union2(A,set_union2(X_65,A)),set_union2(X_65,A)) = set_difference(A,set_union2(X_65,A)),
inference(subst,[],[refute_0_0:[bind(B,$fot(set_union2(X_65,A)))]]) ).
cnf(refute_0_2,plain,
set_union2(A,set_difference(B,A)) = set_union2(A,B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
set_union2(X_57,set_difference(set_union2(A,X_57),X_57)) = set_union2(X_57,set_union2(A,X_57)),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_57)),bind(B,$fot(set_union2(A,X_57)))]]) ).
cnf(refute_0_4,plain,
set_difference(set_union2(A,X_57),X_57) = set_difference(A,X_57),
inference(subst,[],[refute_0_0:[bind(B,$fot(X_57))]]) ).
cnf(refute_0_5,plain,
( set_difference(set_union2(A,X_57),X_57) != set_difference(A,X_57)
| set_union2(X_57,set_difference(set_union2(A,X_57),X_57)) != set_union2(X_57,set_union2(A,X_57))
| set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(A,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_57,set_difference(set_union2(A,X_57),X_57)),set_union2(X_57,set_union2(A,X_57))) ),[0,1],$fot(set_difference(A,X_57))]]) ).
cnf(refute_0_6,plain,
( set_union2(X_57,set_difference(set_union2(A,X_57),X_57)) != set_union2(X_57,set_union2(A,X_57))
| set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(A,X_57)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_57),X_57),set_difference(A,X_57)) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(A,X_57)),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(set_union2(A,X_57),X_57)),set_union2(X_57,set_union2(A,X_57))) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,A),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_57)),bind(B,$fot(A))]]) ).
cnf(refute_0_9,plain,
( set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,A)
| set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,set_union2(A,X_57))
| set_union2(X_57,A) = set_union2(X_57,set_union2(A,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,set_union2(A,X_57))) ),[0],$fot(set_union2(X_57,A))]]) ).
cnf(refute_0_10,plain,
( set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,set_union2(A,X_57))
| set_union2(X_57,A) = set_union2(X_57,set_union2(A,X_57)) ),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,A)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
set_union2(X_57,A) = set_union2(X_57,set_union2(A,X_57)),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,set_union2(A,X_57))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
set_union2(A,X_65) = set_union2(A,set_union2(X_65,A)),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_65)),bind(X_57,$fot(A))]]) ).
cnf(refute_0_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( set_union2(A,X_65) != set_union2(A,set_union2(X_65,A))
| set_union2(A,set_union2(X_65,A)) = set_union2(A,X_65) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(set_union2(A,X_65))),bind(Y,$fot(set_union2(A,set_union2(X_65,A))))]]) ).
cnf(refute_0_17,plain,
set_union2(A,set_union2(X_65,A)) = set_union2(A,X_65),
inference(resolve,[$cnf( $equal(set_union2(A,X_65),set_union2(A,set_union2(X_65,A))) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( set_difference(set_union2(A,set_union2(X_65,A)),set_union2(X_65,A)) != set_difference(A,set_union2(X_65,A))
| set_union2(A,set_union2(X_65,A)) != set_union2(A,X_65)
| set_difference(set_union2(A,X_65),set_union2(X_65,A)) = set_difference(A,set_union2(X_65,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,set_union2(X_65,A)),set_union2(X_65,A)),set_difference(A,set_union2(X_65,A))) ),[0,0],$fot(set_union2(A,X_65))]]) ).
cnf(refute_0_19,plain,
( set_difference(set_union2(A,set_union2(X_65,A)),set_union2(X_65,A)) != set_difference(A,set_union2(X_65,A))
| set_difference(set_union2(A,X_65),set_union2(X_65,A)) = set_difference(A,set_union2(X_65,A)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_union2(X_65,A)),set_union2(A,X_65)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
set_difference(set_union2(A,X_65),set_union2(X_65,A)) = set_difference(A,set_union2(X_65,A)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,set_union2(X_65,A)),set_union2(X_65,A)),set_difference(A,set_union2(X_65,A))) )],[refute_0_1,refute_0_19]) ).
cnf(refute_0_21,plain,
set_difference(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)) = set_difference(A,set_union2(A,X_61)),
inference(subst,[],[refute_0_0:[bind(B,$fot(set_union2(A,X_61)))]]) ).
cnf(refute_0_22,plain,
set_union2(X_57,set_difference(set_union2(X_57,A),X_57)) = set_union2(X_57,set_union2(X_57,A)),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_57)),bind(B,$fot(set_union2(X_57,A)))]]) ).
cnf(refute_0_23,plain,
set_union2(A,B) = set_union2(B,A),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_24,plain,
( set_difference(set_union2(A,B),B) != set_difference(A,B)
| set_union2(A,B) != set_union2(B,A)
| set_difference(set_union2(B,A),B) = set_difference(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,B),B),set_difference(A,B)) ),[0,0],$fot(set_union2(B,A))]]) ).
cnf(refute_0_25,plain,
( set_difference(set_union2(A,B),B) != set_difference(A,B)
| set_difference(set_union2(B,A),B) = set_difference(A,B) ),
inference(resolve,[$cnf( $equal(set_union2(A,B),set_union2(B,A)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
set_difference(set_union2(B,A),B) = set_difference(A,B),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,B),B),set_difference(A,B)) )],[refute_0_0,refute_0_25]) ).
cnf(refute_0_27,plain,
set_difference(set_union2(X_57,A),X_57) = set_difference(A,X_57),
inference(subst,[],[refute_0_26:[bind(B,$fot(X_57))]]) ).
cnf(refute_0_28,plain,
( set_difference(set_union2(X_57,A),X_57) != set_difference(A,X_57)
| set_union2(X_57,set_difference(set_union2(X_57,A),X_57)) != set_union2(X_57,set_union2(X_57,A))
| set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(X_57,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_57,set_difference(set_union2(X_57,A),X_57)),set_union2(X_57,set_union2(X_57,A))) ),[0,1],$fot(set_difference(A,X_57))]]) ).
cnf(refute_0_29,plain,
( set_union2(X_57,set_difference(set_union2(X_57,A),X_57)) != set_union2(X_57,set_union2(X_57,A))
| set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(X_57,A)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(X_57,A),X_57),set_difference(A,X_57)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
set_union2(X_57,set_difference(A,X_57)) = set_union2(X_57,set_union2(X_57,A)),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(set_union2(X_57,A),X_57)),set_union2(X_57,set_union2(X_57,A))) )],[refute_0_22,refute_0_29]) ).
cnf(refute_0_31,plain,
( set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,A)
| set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,set_union2(X_57,A))
| set_union2(X_57,A) = set_union2(X_57,set_union2(X_57,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,set_union2(X_57,A))) ),[0],$fot(set_union2(X_57,A))]]) ).
cnf(refute_0_32,plain,
( set_union2(X_57,set_difference(A,X_57)) != set_union2(X_57,set_union2(X_57,A))
| set_union2(X_57,A) = set_union2(X_57,set_union2(X_57,A)) ),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,A)) )],[refute_0_8,refute_0_31]) ).
cnf(refute_0_33,plain,
set_union2(X_57,A) = set_union2(X_57,set_union2(X_57,A)),
inference(resolve,[$cnf( $equal(set_union2(X_57,set_difference(A,X_57)),set_union2(X_57,set_union2(X_57,A))) )],[refute_0_30,refute_0_32]) ).
cnf(refute_0_34,plain,
set_union2(A,X_61) = set_union2(A,set_union2(A,X_61)),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_61)),bind(X_57,$fot(A))]]) ).
cnf(refute_0_35,plain,
( set_union2(A,X_61) != set_union2(A,set_union2(A,X_61))
| set_union2(A,set_union2(A,X_61)) = set_union2(A,X_61) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(set_union2(A,X_61))),bind(Y,$fot(set_union2(A,set_union2(A,X_61))))]]) ).
cnf(refute_0_36,plain,
set_union2(A,set_union2(A,X_61)) = set_union2(A,X_61),
inference(resolve,[$cnf( $equal(set_union2(A,X_61),set_union2(A,set_union2(A,X_61))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( set_difference(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)) != set_difference(A,set_union2(A,X_61))
| set_union2(A,set_union2(A,X_61)) != set_union2(A,X_61)
| set_difference(set_union2(A,X_61),set_union2(A,X_61)) = set_difference(A,set_union2(A,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)),set_difference(A,set_union2(A,X_61))) ),[0,0],$fot(set_union2(A,X_61))]]) ).
cnf(refute_0_38,plain,
( set_difference(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)) != set_difference(A,set_union2(A,X_61))
| set_difference(set_union2(A,X_61),set_union2(A,X_61)) = set_difference(A,set_union2(A,X_61)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
set_difference(set_union2(A,X_61),set_union2(A,X_61)) = set_difference(A,set_union2(A,X_61)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,set_union2(A,X_61)),set_union2(A,X_61)),set_difference(A,set_union2(A,X_61))) )],[refute_0_21,refute_0_38]) ).
cnf(refute_0_40,plain,
set_difference(A,set_difference(A,B)) = set_intersection2(A,B),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_41,plain,
set_difference(X_33,set_difference(X_33,empty_set)) = set_intersection2(X_33,empty_set),
inference(subst,[],[refute_0_40:[bind(A,$fot(X_33)),bind(B,$fot(empty_set))]]) ).
cnf(refute_0_42,plain,
set_difference(A,empty_set) = A,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_43,plain,
set_difference(X_33,empty_set) = X_33,
inference(subst,[],[refute_0_42:[bind(A,$fot(X_33))]]) ).
cnf(refute_0_44,plain,
( set_difference(X_33,empty_set) != X_33
| set_difference(X_33,set_difference(X_33,empty_set)) != set_intersection2(X_33,empty_set)
| set_difference(X_33,X_33) = set_intersection2(X_33,empty_set) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(X_33,set_difference(X_33,empty_set)),set_intersection2(X_33,empty_set)) ),[0,1],$fot(X_33)]]) ).
cnf(refute_0_45,plain,
( set_difference(X_33,set_difference(X_33,empty_set)) != set_intersection2(X_33,empty_set)
| set_difference(X_33,X_33) = set_intersection2(X_33,empty_set) ),
inference(resolve,[$cnf( $equal(set_difference(X_33,empty_set),X_33) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
set_difference(X_33,X_33) = set_intersection2(X_33,empty_set),
inference(resolve,[$cnf( $equal(set_difference(X_33,set_difference(X_33,empty_set)),set_intersection2(X_33,empty_set)) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
set_intersection2(A,empty_set) = empty_set,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_48,plain,
set_intersection2(X_33,empty_set) = empty_set,
inference(subst,[],[refute_0_47:[bind(A,$fot(X_33))]]) ).
cnf(refute_0_49,plain,
( set_difference(X_33,X_33) != set_intersection2(X_33,empty_set)
| set_intersection2(X_33,empty_set) != empty_set
| set_difference(X_33,X_33) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(X_33,X_33),empty_set) ),[0],$fot(set_intersection2(X_33,empty_set))]]) ).
cnf(refute_0_50,plain,
( set_difference(X_33,X_33) != set_intersection2(X_33,empty_set)
| set_difference(X_33,X_33) = empty_set ),
inference(resolve,[$cnf( $equal(set_intersection2(X_33,empty_set),empty_set) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
set_difference(X_33,X_33) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(X_33,X_33),set_intersection2(X_33,empty_set)) )],[refute_0_46,refute_0_50]) ).
cnf(refute_0_52,plain,
set_difference(set_union2(A,X_61),set_union2(A,X_61)) = empty_set,
inference(subst,[],[refute_0_51:[bind(X_33,$fot(set_union2(A,X_61)))]]) ).
cnf(refute_0_53,plain,
( set_difference(set_union2(A,X_61),set_union2(A,X_61)) != empty_set
| set_difference(set_union2(A,X_61),set_union2(A,X_61)) != set_difference(A,set_union2(A,X_61))
| empty_set = set_difference(A,set_union2(A,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,X_61),set_union2(A,X_61)),set_difference(A,set_union2(A,X_61))) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_54,plain,
( set_difference(set_union2(A,X_61),set_union2(A,X_61)) != set_difference(A,set_union2(A,X_61))
| empty_set = set_difference(A,set_union2(A,X_61)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_61),set_union2(A,X_61)),empty_set) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
empty_set = set_difference(A,set_union2(A,X_61)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_61),set_union2(A,X_61)),set_difference(A,set_union2(A,X_61))) )],[refute_0_39,refute_0_54]) ).
cnf(refute_0_56,plain,
empty_set = set_difference(X_63,set_union2(X_63,X_64)),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_63)),bind(X_61,$fot(X_64))]]) ).
cnf(refute_0_57,plain,
set_union2(X_64,X_63) = set_union2(X_63,X_64),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_64)),bind(B,$fot(X_63))]]) ).
cnf(refute_0_58,plain,
( set_union2(X_64,X_63) != set_union2(X_63,X_64)
| set_union2(X_63,X_64) = set_union2(X_64,X_63) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(set_union2(X_64,X_63))),bind(Y,$fot(set_union2(X_63,X_64)))]]) ).
cnf(refute_0_59,plain,
set_union2(X_63,X_64) = set_union2(X_64,X_63),
inference(resolve,[$cnf( $equal(set_union2(X_64,X_63),set_union2(X_63,X_64)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( empty_set != set_difference(X_63,set_union2(X_63,X_64))
| set_union2(X_63,X_64) != set_union2(X_64,X_63)
| empty_set = set_difference(X_63,set_union2(X_64,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(empty_set,set_difference(X_63,set_union2(X_63,X_64))) ),[1,1],$fot(set_union2(X_64,X_63))]]) ).
cnf(refute_0_61,plain,
( empty_set != set_difference(X_63,set_union2(X_63,X_64))
| empty_set = set_difference(X_63,set_union2(X_64,X_63)) ),
inference(resolve,[$cnf( $equal(set_union2(X_63,X_64),set_union2(X_64,X_63)) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
empty_set = set_difference(X_63,set_union2(X_64,X_63)),
inference(resolve,[$cnf( $equal(empty_set,set_difference(X_63,set_union2(X_63,X_64))) )],[refute_0_56,refute_0_61]) ).
cnf(refute_0_63,plain,
( empty_set != set_difference(X_63,set_union2(X_64,X_63))
| set_difference(X_63,set_union2(X_64,X_63)) = empty_set ),
inference(subst,[],[refute_0_15:[bind(X,$fot(empty_set)),bind(Y,$fot(set_difference(X_63,set_union2(X_64,X_63))))]]) ).
cnf(refute_0_64,plain,
set_difference(X_63,set_union2(X_64,X_63)) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_difference(X_63,set_union2(X_64,X_63))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
set_difference(A,set_union2(X_65,A)) = empty_set,
inference(subst,[],[refute_0_64:[bind(X_63,$fot(A)),bind(X_64,$fot(X_65))]]) ).
cnf(refute_0_66,plain,
( set_difference(A,set_union2(X_65,A)) != empty_set
| set_difference(set_union2(A,X_65),set_union2(X_65,A)) != set_difference(A,set_union2(X_65,A))
| set_difference(set_union2(A,X_65),set_union2(X_65,A)) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,X_65),set_union2(X_65,A)),set_difference(A,set_union2(X_65,A))) ),[1],$fot(empty_set)]]) ).
cnf(refute_0_67,plain,
( set_difference(set_union2(A,X_65),set_union2(X_65,A)) != set_difference(A,set_union2(X_65,A))
| set_difference(set_union2(A,X_65),set_union2(X_65,A)) = empty_set ),
inference(resolve,[$cnf( $equal(set_difference(A,set_union2(X_65,A)),empty_set) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
set_difference(set_union2(A,X_65),set_union2(X_65,A)) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_65),set_union2(X_65,A)),set_difference(A,set_union2(X_65,A))) )],[refute_0_20,refute_0_67]) ).
cnf(refute_0_69,plain,
set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))) = empty_set,
inference(subst,[],[refute_0_68:[bind(A,$fot(singleton(skolemFOFtoCNF_B_1))),bind(X_65,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_70,plain,
in(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_71,plain,
( ~ in(A,B)
| subset(singleton(A),B) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_72,plain,
( ~ in(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2)
| subset(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_71:[bind(A,$fot(skolemFOFtoCNF_B_1)),bind(B,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_73,plain,
subset(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B_1,skolemFOFtoCNF_A_2) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ subset(A,B)
| set_union2(A,B) = B ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_75,plain,
( ~ subset(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)
| set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_74:[bind(A,$fot(singleton(skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_76,plain,
set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( subset(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) )],[refute_0_73,refute_0_75]) ).
cnf(refute_0_77,plain,
( set_union2(A,B) != set_union2(B,A)
| set_union2(B,A) = set_union2(A,B) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(set_union2(A,B))),bind(Y,$fot(set_union2(B,A)))]]) ).
cnf(refute_0_78,plain,
set_union2(B,A) = set_union2(A,B),
inference(resolve,[$cnf( $equal(set_union2(A,B),set_union2(B,A)) )],[refute_0_23,refute_0_77]) ).
cnf(refute_0_79,plain,
set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) = set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)),
inference(subst,[],[refute_0_78:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(B,$fot(singleton(skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_80,plain,
( set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) != set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))
| set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2 ),
introduced(tautology,[equality,[$cnf( $equal(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) ),[0],$fot(set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_81,plain,
( set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) != skolemFOFtoCNF_A_2
| set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( $equal(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
( set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))) != empty_set
| set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) != skolemFOFtoCNF_A_2
| set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))),empty_set) ),[0,1],$fot(skolemFOFtoCNF_A_2)]]) ).
cnf(refute_0_84,plain,
( set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))) != empty_set
| set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = empty_set ),
inference(resolve,[$cnf( $equal(set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)),skolemFOFtoCNF_A_2) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),set_union2(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))),empty_set) )],[refute_0_69,refute_0_84]) ).
cnf(refute_0_86,plain,
set_difference(A,set_difference(A,set_union2(A,X_64))) = set_intersection2(A,set_union2(A,X_64)),
inference(subst,[],[refute_0_40:[bind(B,$fot(set_union2(A,X_64)))]]) ).
cnf(refute_0_87,plain,
empty_set = set_difference(A,set_union2(A,X_64)),
inference(subst,[],[refute_0_55:[bind(X_61,$fot(X_64))]]) ).
cnf(refute_0_88,plain,
( empty_set != set_difference(A,set_union2(A,X_64))
| set_difference(A,set_union2(A,X_64)) = empty_set ),
inference(subst,[],[refute_0_15:[bind(X,$fot(empty_set)),bind(Y,$fot(set_difference(A,set_union2(A,X_64))))]]) ).
cnf(refute_0_89,plain,
set_difference(A,set_union2(A,X_64)) = empty_set,
inference(resolve,[$cnf( $equal(empty_set,set_difference(A,set_union2(A,X_64))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( set_difference(A,set_difference(A,set_union2(A,X_64))) != set_intersection2(A,set_union2(A,X_64))
| set_difference(A,set_union2(A,X_64)) != empty_set
| set_difference(A,empty_set) = set_intersection2(A,set_union2(A,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,set_difference(A,set_union2(A,X_64))),set_intersection2(A,set_union2(A,X_64))) ),[0,1],$fot(empty_set)]]) ).
cnf(refute_0_91,plain,
( set_difference(A,set_difference(A,set_union2(A,X_64))) != set_intersection2(A,set_union2(A,X_64))
| set_difference(A,empty_set) = set_intersection2(A,set_union2(A,X_64)) ),
inference(resolve,[$cnf( $equal(set_difference(A,set_union2(A,X_64)),empty_set) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
set_difference(A,empty_set) = set_intersection2(A,set_union2(A,X_64)),
inference(resolve,[$cnf( $equal(set_difference(A,set_difference(A,set_union2(A,X_64))),set_intersection2(A,set_union2(A,X_64))) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
( set_difference(A,empty_set) != A
| set_difference(A,empty_set) != set_intersection2(A,set_union2(A,X_64))
| A = set_intersection2(A,set_union2(A,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(A,empty_set),set_intersection2(A,set_union2(A,X_64))) ),[0],$fot(A)]]) ).
cnf(refute_0_94,plain,
( set_difference(A,empty_set) != set_intersection2(A,set_union2(A,X_64))
| A = set_intersection2(A,set_union2(A,X_64)) ),
inference(resolve,[$cnf( $equal(set_difference(A,empty_set),A) )],[refute_0_42,refute_0_93]) ).
cnf(refute_0_95,plain,
set_difference(set_union2(A,set_difference(X_58,A)),set_difference(X_58,A)) = set_difference(A,set_difference(X_58,A)),
inference(subst,[],[refute_0_0:[bind(B,$fot(set_difference(X_58,A)))]]) ).
cnf(refute_0_96,plain,
set_union2(A,set_difference(X_58,A)) = set_union2(A,X_58),
inference(subst,[],[refute_0_2:[bind(B,$fot(X_58))]]) ).
cnf(refute_0_97,plain,
( set_difference(set_union2(A,set_difference(X_58,A)),set_difference(X_58,A)) != set_difference(A,set_difference(X_58,A))
| set_union2(A,set_difference(X_58,A)) != set_union2(A,X_58)
| set_difference(set_union2(A,X_58),set_difference(X_58,A)) = set_difference(A,set_difference(X_58,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,set_difference(X_58,A)),set_difference(X_58,A)),set_difference(A,set_difference(X_58,A))) ),[0,0],$fot(set_union2(A,X_58))]]) ).
cnf(refute_0_98,plain,
( set_difference(set_union2(A,set_difference(X_58,A)),set_difference(X_58,A)) != set_difference(A,set_difference(X_58,A))
| set_difference(set_union2(A,X_58),set_difference(X_58,A)) = set_difference(A,set_difference(X_58,A)) ),
inference(resolve,[$cnf( $equal(set_union2(A,set_difference(X_58,A)),set_union2(A,X_58)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
set_difference(set_union2(A,X_58),set_difference(X_58,A)) = set_difference(A,set_difference(X_58,A)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,set_difference(X_58,A)),set_difference(X_58,A)),set_difference(A,set_difference(X_58,A))) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
set_difference(set_union2(B,X_55),set_difference(set_union2(B,X_55),B)) = set_intersection2(set_union2(B,X_55),B),
inference(subst,[],[refute_0_40:[bind(A,$fot(set_union2(B,X_55)))]]) ).
cnf(refute_0_101,plain,
set_difference(set_union2(B,X_55),B) = set_difference(X_55,B),
inference(subst,[],[refute_0_26:[bind(A,$fot(X_55))]]) ).
cnf(refute_0_102,plain,
( set_difference(set_union2(B,X_55),B) != set_difference(X_55,B)
| set_difference(set_union2(B,X_55),set_difference(set_union2(B,X_55),B)) != set_intersection2(set_union2(B,X_55),B)
| set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(set_union2(B,X_55),B) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(B,X_55),set_difference(set_union2(B,X_55),B)),set_intersection2(set_union2(B,X_55),B)) ),[0,1],$fot(set_difference(X_55,B))]]) ).
cnf(refute_0_103,plain,
( set_difference(set_union2(B,X_55),set_difference(set_union2(B,X_55),B)) != set_intersection2(set_union2(B,X_55),B)
| set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(set_union2(B,X_55),B) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_55),B),set_difference(X_55,B)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(set_union2(B,X_55),B),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_55),set_difference(set_union2(B,X_55),B)),set_intersection2(set_union2(B,X_55),B)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_106,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| set_intersection2(B,A) = set_intersection2(A,B) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(set_intersection2(A,B))),bind(Y,$fot(set_intersection2(B,A)))]]) ).
cnf(refute_0_107,plain,
set_intersection2(B,A) = set_intersection2(A,B),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
set_intersection2(set_union2(B,X_55),B) = set_intersection2(B,set_union2(B,X_55)),
inference(subst,[],[refute_0_107:[bind(A,$fot(B)),bind(B,$fot(set_union2(B,X_55)))]]) ).
cnf(refute_0_109,plain,
( set_difference(set_union2(B,X_55),set_difference(X_55,B)) != set_intersection2(set_union2(B,X_55),B)
| set_intersection2(set_union2(B,X_55),B) != set_intersection2(B,set_union2(B,X_55))
| set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(B,set_union2(B,X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(set_union2(B,X_55),set_difference(X_55,B)),set_intersection2(B,set_union2(B,X_55))) ),[0],$fot(set_intersection2(set_union2(B,X_55),B))]]) ).
cnf(refute_0_110,plain,
( set_difference(set_union2(B,X_55),set_difference(X_55,B)) != set_intersection2(set_union2(B,X_55),B)
| set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(B,set_union2(B,X_55)) ),
inference(resolve,[$cnf( $equal(set_intersection2(set_union2(B,X_55),B),set_intersection2(B,set_union2(B,X_55))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
set_difference(set_union2(B,X_55),set_difference(X_55,B)) = set_intersection2(B,set_union2(B,X_55)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(B,X_55),set_difference(X_55,B)),set_intersection2(set_union2(B,X_55),B)) )],[refute_0_104,refute_0_110]) ).
cnf(refute_0_112,plain,
set_difference(set_union2(A,X_58),set_difference(X_58,A)) = set_intersection2(A,set_union2(A,X_58)),
inference(subst,[],[refute_0_111:[bind(B,$fot(A)),bind(X_55,$fot(X_58))]]) ).
cnf(refute_0_113,plain,
( set_difference(set_union2(A,X_58),set_difference(X_58,A)) != set_difference(A,set_difference(X_58,A))
| set_difference(set_union2(A,X_58),set_difference(X_58,A)) != set_intersection2(A,set_union2(A,X_58))
| set_intersection2(A,set_union2(A,X_58)) = set_difference(A,set_difference(X_58,A)) ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(A,X_58),set_difference(X_58,A)),set_difference(A,set_difference(X_58,A))) ),[0],$fot(set_intersection2(A,set_union2(A,X_58)))]]) ).
cnf(refute_0_114,plain,
( set_difference(set_union2(A,X_58),set_difference(X_58,A)) != set_difference(A,set_difference(X_58,A))
| set_intersection2(A,set_union2(A,X_58)) = set_difference(A,set_difference(X_58,A)) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_58),set_difference(X_58,A)),set_intersection2(A,set_union2(A,X_58))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
set_intersection2(A,set_union2(A,X_58)) = set_difference(A,set_difference(X_58,A)),
inference(resolve,[$cnf( $equal(set_difference(set_union2(A,X_58),set_difference(X_58,A)),set_difference(A,set_difference(X_58,A))) )],[refute_0_99,refute_0_114]) ).
cnf(refute_0_116,plain,
set_intersection2(A,set_union2(A,X_64)) = set_difference(A,set_difference(X_64,A)),
inference(subst,[],[refute_0_115:[bind(X_58,$fot(X_64))]]) ).
cnf(refute_0_117,plain,
( A != set_intersection2(A,set_union2(A,X_64))
| set_intersection2(A,set_union2(A,X_64)) != set_difference(A,set_difference(X_64,A))
| A = set_difference(A,set_difference(X_64,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(A,set_difference(A,set_difference(X_64,A))) ),[0],$fot(set_intersection2(A,set_union2(A,X_64)))]]) ).
cnf(refute_0_118,plain,
( A != set_intersection2(A,set_union2(A,X_64))
| A = set_difference(A,set_difference(X_64,A)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,set_union2(A,X_64)),set_difference(A,set_difference(X_64,A))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( set_difference(A,empty_set) != set_intersection2(A,set_union2(A,X_64))
| A = set_difference(A,set_difference(X_64,A)) ),
inference(resolve,[$cnf( $equal(A,set_intersection2(A,set_union2(A,X_64))) )],[refute_0_94,refute_0_118]) ).
cnf(refute_0_120,plain,
A = set_difference(A,set_difference(X_64,A)),
inference(resolve,[$cnf( $equal(set_difference(A,empty_set),set_intersection2(A,set_union2(A,X_64))) )],[refute_0_92,refute_0_119]) ).
cnf(refute_0_121,plain,
singleton(skolemFOFtoCNF_B_1) = set_difference(singleton(skolemFOFtoCNF_B_1),set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1))),
inference(subst,[],[refute_0_120:[bind(A,$fot(singleton(skolemFOFtoCNF_B_1))),bind(X_64,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_122,plain,
set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) = skolemFOFtoCNF_A_2,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_123,plain,
( set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)) != skolemFOFtoCNF_A_2
| singleton(skolemFOFtoCNF_B_1) != set_difference(singleton(skolemFOFtoCNF_B_1),set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)))
| singleton(skolemFOFtoCNF_B_1) = set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) ),
introduced(tautology,[equality,[$cnf( $equal(singleton(skolemFOFtoCNF_B_1),set_difference(singleton(skolemFOFtoCNF_B_1),set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)))) ),[1,1],$fot(skolemFOFtoCNF_A_2)]]) ).
cnf(refute_0_124,plain,
( singleton(skolemFOFtoCNF_B_1) != set_difference(singleton(skolemFOFtoCNF_B_1),set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)))
| singleton(skolemFOFtoCNF_B_1) = set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)),skolemFOFtoCNF_A_2) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
singleton(skolemFOFtoCNF_B_1) = set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( $equal(singleton(skolemFOFtoCNF_B_1),set_difference(singleton(skolemFOFtoCNF_B_1),set_difference(skolemFOFtoCNF_A_2,singleton(skolemFOFtoCNF_B_1)))) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( singleton(skolemFOFtoCNF_B_1) != set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)
| set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) = singleton(skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(singleton(skolemFOFtoCNF_B_1))),bind(Y,$fot(set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)))]]) ).
cnf(refute_0_127,plain,
set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) = singleton(skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( $equal(singleton(skolemFOFtoCNF_B_1),set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),
inference(subst,[],[refute_0_0:[bind(A,$fot(singleton(skolemFOFtoCNF_B_1))),bind(B,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_129,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_130,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_15,refute_0_129]) ).
cnf(refute_0_131,plain,
( set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) != set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)
| set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) != singleton(skolemFOFtoCNF_B_1)
| set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = singleton(skolemFOFtoCNF_B_1) ),
inference(subst,[],[refute_0_130:[bind(X,$fot(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2))),bind(Y,$fot(set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2))),bind(Z,$fot(singleton(skolemFOFtoCNF_B_1)))]]) ).
cnf(refute_0_132,plain,
( set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2) != singleton(skolemFOFtoCNF_B_1)
| set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = singleton(skolemFOFtoCNF_B_1) ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2)) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) = singleton(skolemFOFtoCNF_B_1),
inference(resolve,[$cnf( $equal(set_difference(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),singleton(skolemFOFtoCNF_B_1)) )],[refute_0_127,refute_0_132]) ).
cnf(refute_0_134,plain,
( set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) != empty_set
| set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) != singleton(skolemFOFtoCNF_B_1)
| singleton(skolemFOFtoCNF_B_1) = empty_set ),
introduced(tautology,[equality,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),empty_set) ),[0],$fot(singleton(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_135,plain,
( set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) != empty_set
| singleton(skolemFOFtoCNF_B_1) = empty_set ),
inference(resolve,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),singleton(skolemFOFtoCNF_B_1)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
singleton(skolemFOFtoCNF_B_1) = empty_set,
inference(resolve,[$cnf( $equal(set_difference(set_union2(singleton(skolemFOFtoCNF_B_1),skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),empty_set) )],[refute_0_85,refute_0_135]) ).
cnf(refute_0_137,plain,
singleton(A) != empty_set,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_138,plain,
singleton(skolemFOFtoCNF_B_1) != empty_set,
inference(subst,[],[refute_0_137:[bind(A,$fot(skolemFOFtoCNF_B_1))]]) ).
cnf(refute_0_139,plain,
$false,
inference(resolve,[$cnf( $equal(singleton(skolemFOFtoCNF_B_1),empty_set) )],[refute_0_136,refute_0_138]) ).
fof(negate_1_0,plain,
~ ! [A,B] :
( ~ in(B,A)
=> set_difference(A,singleton(B)) = A ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [A,B] :
( set_difference(A,singleton(B)) != A
& ~ in(B,A) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) != skolemFOFtoCNF_A_3
& ~ in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) != skolemFOFtoCNF_A_3,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
( ! [A,B] :
( ~ disjoint(A,B)
| ! [C] :
( ~ in(C,A)
| ~ in(C,B) ) )
& ! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ) ),
inference(canonicalize,[],[t3_xboole_0]) ).
fof(normalize_1_4,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A,B] :
( disjoint(A,B)
| ? [C] :
( in(C,A)
& in(C,B) ) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [A,B] :
( ( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),A) )
& ( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),B) ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A,B] :
( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),A) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [A,B] :
( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),B) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_9,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(canonicalize,[],[d1_tarski]) ).
fof(normalize_1_10,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [A,B,C] :
( ( B != singleton(A)
| C != A
| in(C,B) )
& ( B != singleton(A)
| ~ in(C,B)
| C = A )
& ( skolemFOFtoCNF_C(A,B) != A
| ~ in(skolemFOFtoCNF_C(A,B),B)
| B = singleton(A) )
& ( B = singleton(A)
| skolemFOFtoCNF_C(A,B) = A
| in(skolemFOFtoCNF_C(A,B),B) ) ),
inference(clausify,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [A,B,C] :
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [A,B] :
( set_difference(A,B) != A
<=> ~ disjoint(A,B) ),
inference(canonicalize,[],[t83_xboole_1]) ).
fof(normalize_1_14,plain,
! [A,B] :
( set_difference(A,B) != A
<=> ~ disjoint(A,B) ),
inference(specialize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [A,B] :
( ( set_difference(A,B) != A
| disjoint(A,B) )
& ( ~ disjoint(A,B)
| set_difference(A,B) = A ) ),
inference(clausify,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [A,B] :
( ~ disjoint(A,B)
| set_difference(A,B) = A ),
inference(conjunct,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
~ in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) != skolemFOFtoCNF_A_3,
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),A) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_2,plain,
( disjoint(X_2507,singleton(X_531))
| in(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_2507) ),
inference(subst,[],[refute_1_1:[bind(A,$fot(X_2507)),bind(B,$fot(singleton(X_531)))]]) ).
cnf(refute_1_3,plain,
( disjoint(A,B)
| in(skolemFOFtoCNF_C_5(A,B),B) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_4,plain,
( disjoint(A,singleton(X_531))
| in(skolemFOFtoCNF_C_5(A,singleton(X_531)),singleton(X_531)) ),
inference(subst,[],[refute_1_3:[bind(B,$fot(singleton(X_531)))]]) ).
cnf(refute_1_5,plain,
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_6,plain,
( singleton(A) != singleton(A)
| ~ in(C,singleton(A))
| C = A ),
inference(subst,[],[refute_1_5:[bind(B,$fot(singleton(A)))]]) ).
cnf(refute_1_7,plain,
singleton(A) = singleton(A),
introduced(tautology,[refl,[$fot(singleton(A))]]) ).
cnf(refute_1_8,plain,
( ~ in(C,singleton(A))
| C = A ),
inference(resolve,[$cnf( $equal(singleton(A),singleton(A)) )],[refute_1_7,refute_1_6]) ).
cnf(refute_1_9,plain,
( ~ in(skolemFOFtoCNF_C_5(A,singleton(X_531)),singleton(X_531))
| skolemFOFtoCNF_C_5(A,singleton(X_531)) = X_531 ),
inference(subst,[],[refute_1_8:[bind(A,$fot(X_531)),bind(C,$fot(skolemFOFtoCNF_C_5(A,singleton(X_531))))]]) ).
cnf(refute_1_10,plain,
( skolemFOFtoCNF_C_5(A,singleton(X_531)) = X_531
| disjoint(A,singleton(X_531)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_5(A,singleton(X_531)),singleton(X_531)) )],[refute_1_4,refute_1_9]) ).
cnf(refute_1_11,plain,
( skolemFOFtoCNF_C_5(X_2507,singleton(X_531)) = X_531
| disjoint(X_2507,singleton(X_531)) ),
inference(subst,[],[refute_1_10:[bind(A,$fot(X_2507))]]) ).
cnf(refute_1_12,plain,
( skolemFOFtoCNF_C_5(X_2507,singleton(X_531)) != X_531
| ~ in(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_2507)
| in(X_531,X_2507) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_2507) ),[0],$fot(X_531)]]) ).
cnf(refute_1_13,plain,
( ~ in(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_2507)
| disjoint(X_2507,singleton(X_531))
| in(X_531,X_2507) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_531) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
( disjoint(X_2507,singleton(X_531))
| in(X_531,X_2507) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C_5(X_2507,singleton(X_531)),X_2507) )],[refute_1_2,refute_1_13]) ).
cnf(refute_1_15,plain,
( disjoint(X_2531,singleton(X_531))
| in(X_531,X_2531) ),
inference(subst,[],[refute_1_14:[bind(X_2507,$fot(X_2531))]]) ).
cnf(refute_1_16,plain,
( ~ disjoint(A,B)
| set_difference(A,B) = A ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_17,plain,
( ~ disjoint(X_2531,singleton(X_531))
| set_difference(X_2531,singleton(X_531)) = X_2531 ),
inference(subst,[],[refute_1_16:[bind(A,$fot(X_2531)),bind(B,$fot(singleton(X_531)))]]) ).
cnf(refute_1_18,plain,
( set_difference(X_2531,singleton(X_531)) = X_2531
| in(X_531,X_2531) ),
inference(resolve,[$cnf( disjoint(X_2531,singleton(X_531)) )],[refute_1_15,refute_1_17]) ).
cnf(refute_1_19,plain,
( set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) = skolemFOFtoCNF_A_3
| in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3) ),
inference(subst,[],[refute_1_18:[bind(X_2531,$fot(skolemFOFtoCNF_A_3)),bind(X_531,$fot(skolemFOFtoCNF_B_2))]]) ).
cnf(refute_1_20,plain,
( set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) != skolemFOFtoCNF_A_3
| skolemFOFtoCNF_A_3 != skolemFOFtoCNF_A_3
| set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) = skolemFOFtoCNF_A_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)),skolemFOFtoCNF_A_3) ),[0],$fot(skolemFOFtoCNF_A_3)]]) ).
cnf(refute_1_21,plain,
( skolemFOFtoCNF_A_3 != skolemFOFtoCNF_A_3
| set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)) = skolemFOFtoCNF_A_3
| in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)),skolemFOFtoCNF_A_3) )],[refute_1_19,refute_1_20]) ).
cnf(refute_1_22,plain,
( skolemFOFtoCNF_A_3 != skolemFOFtoCNF_A_3
| in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3) ),
inference(resolve,[$cnf( $equal(set_difference(skolemFOFtoCNF_A_3,singleton(skolemFOFtoCNF_B_2)),skolemFOFtoCNF_A_3) )],[refute_1_21,refute_1_0]) ).
cnf(refute_1_23,plain,
skolemFOFtoCNF_A_3 = skolemFOFtoCNF_A_3,
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_A_3)]]) ).
cnf(refute_1_24,plain,
in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A_3,skolemFOFtoCNF_A_3) )],[refute_1_23,refute_1_22]) ).
cnf(refute_1_25,plain,
~ in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_26,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_B_2,skolemFOFtoCNF_A_3) )],[refute_1_24,refute_1_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU162+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 01:14:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 26.62/26.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.62/26.82
% 26.62/26.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 26.62/26.83
%------------------------------------------------------------------------------