TSTP Solution File: SET962+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 03:38:38 EDT 2022
% Result : Theorem 19.63s 19.80s
% Output : CNFRefutation 19.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 126 ( 44 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 122 ( 51 ~; 55 |; 6 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 81 ( 4 sgn 43 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l55_zfmisc_1,axiom,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ) ).
fof(t115_zfmisc_1,conjecture,
! [A,B] :
( cartesian_product2(A,A) = cartesian_product2(B,B)
=> A = B ) ).
fof(t2_tarski,axiom,
! [A,B] :
( ! [C] :
( in(C,A)
<=> in(C,B) )
=> A = B ) ).
fof(subgoal_0,plain,
! [A,B] :
( cartesian_product2(A,A) = cartesian_product2(B,B)
=> A = B ),
inference(strip,[],[t115_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B] :
( cartesian_product2(A,A) = cartesian_product2(B,B)
=> A = B ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C,D] :
( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( ~ in(A,C)
| ~ in(B,D) ) ),
inference(canonicalize,[],[l55_zfmisc_1]) ).
fof(normalize_0_1,plain,
! [A,B,C,D] :
( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( ~ in(A,C)
| ~ in(B,D) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C,D] :
( ( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
| in(A,C) )
& ( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
| in(B,D) )
& ( ~ in(A,C)
| ~ in(B,D)
| in(ordered_pair(A,B),cartesian_product2(C,D)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
| in(B,D) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( ~ in(A,C)
| ~ in(B,D)
| in(ordered_pair(A,B),cartesian_product2(C,D)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
? [A,B] :
( A != B
& cartesian_product2(A,A) = cartesian_product2(B,B) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
( skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B
& cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) = cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) ),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) = cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B] :
( A = B
| ? [C] :
( ~ in(C,A)
<=> in(C,B) ) ),
inference(canonicalize,[],[t2_tarski]) ).
fof(normalize_0_9,plain,
! [A,B] :
( A = B
| ? [C] :
( ~ in(C,A)
<=> in(C,B) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] :
( ( ~ in(skolemFOFtoCNF_C(A,B),A)
| ~ in(skolemFOFtoCNF_C(A,B),B)
| A = B )
& ( A = B
| in(skolemFOFtoCNF_C(A,B),A)
| in(skolemFOFtoCNF_C(A,B),B) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B] :
( A = B
| in(skolemFOFtoCNF_C(A,B),A)
| in(skolemFOFtoCNF_C(A,B),B) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_13,plain,
! [A,B] :
( ~ in(skolemFOFtoCNF_C(A,B),A)
| ~ in(skolemFOFtoCNF_C(A,B),B)
| A = B ),
inference(conjunct,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
( ~ in(ordered_pair(A,B),cartesian_product2(C,D))
| in(B,D) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2))),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2))),bind(C,$fot(skolemFOFtoCNF_A_2)),bind(D,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_2,plain,
( ~ in(A,C)
| ~ in(B,D)
| in(ordered_pair(A,B),cartesian_product2(C,D)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B)
| in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2))),bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2))),bind(C,$fot(skolemFOFtoCNF_B)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_4,plain,
( ~ in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| in(X_52,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_51)),bind(B,$fot(X_52)),bind(C,$fot(skolemFOFtoCNF_B)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_5,plain,
cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) = cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) != cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)
| cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))),bind(Y,$fot(cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_10,plain,
cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) = cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_5,refute_0_9]) ).
cnf(refute_0_11,plain,
( cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)
| ~ in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( ~ in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),[1],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_12,plain,
( ~ in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(X_52,skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( in(ordered_pair(X_51,X_52),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_12,refute_0_4]) ).
cnf(refute_0_14,plain,
( ~ in(ordered_pair(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_13:[bind(X_51,$fot(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2))),bind(X_52,$fot(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2)))]]) ).
cnf(refute_0_15,plain,
( ~ in(skolemFOFtoCNF_C(X_71,X_72),X_72)
| in(ordered_pair(skolemFOFtoCNF_C(X_71,X_72),skolemFOFtoCNF_C(X_71,X_72)),cartesian_product2(X_72,X_72)) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_C(X_71,X_72))),bind(B,$fot(skolemFOFtoCNF_C(X_71,X_72))),bind(C,$fot(X_72)),bind(D,$fot(X_72))]]) ).
cnf(refute_0_16,plain,
( A = B
| in(skolemFOFtoCNF_C(A,B),A)
| in(skolemFOFtoCNF_C(A,B),B) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_17,plain,
( X_71 = X_72
| in(skolemFOFtoCNF_C(X_71,X_72),X_71)
| in(skolemFOFtoCNF_C(X_71,X_72),X_72) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_71)),bind(B,$fot(X_72))]]) ).
cnf(refute_0_18,plain,
( X_71 = X_72
| in(ordered_pair(skolemFOFtoCNF_C(X_71,X_72),skolemFOFtoCNF_C(X_71,X_72)),cartesian_product2(X_72,X_72))
| in(skolemFOFtoCNF_C(X_71,X_72),X_71) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(X_71,X_72),X_72) )],[refute_0_17,refute_0_15]) ).
cnf(refute_0_19,plain,
( X_153 = skolemFOFtoCNF_A_2
| in(ordered_pair(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))
| in(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),X_153) ),
inference(subst,[],[refute_0_18:[bind(X_71,$fot(X_153)),bind(X_72,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_20,plain,
( X_153 = skolemFOFtoCNF_A_2
| in(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),X_153)
| in(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) ),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(X_153,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) )],[refute_0_19,refute_0_14]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_B = skolemFOFtoCNF_A_2
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_20:[bind(X_153,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_22,plain,
skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_B != skolemFOFtoCNF_A_2
| skolemFOFtoCNF_A_2 = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_8:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_24,plain,
skolemFOFtoCNF_B != skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) )],[refute_0_23,refute_0_22]) ).
cnf(refute_0_25,plain,
in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) )],[refute_0_25,refute_0_3]) ).
cnf(refute_0_27,plain,
( cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B) != cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)
| ~ in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) ),
introduced(tautology,[equality,[$cnf( in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) ),[1],$fot(cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_28,plain,
( ~ in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B))
| in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) ),
inference(resolve,[$cnf( $equal(cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) )],[refute_0_10,refute_0_27]) ).
cnf(refute_0_29,plain,
in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_B,skolemFOFtoCNF_B)) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( in(ordered_pair(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2)),cartesian_product2(skolemFOFtoCNF_A_2,skolemFOFtoCNF_A_2)) )],[refute_0_29,refute_0_1]) ).
cnf(refute_0_31,plain,
( ~ in(skolemFOFtoCNF_C(A,B),A)
| ~ in(skolemFOFtoCNF_C(A,B),B)
| A = B ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_32,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2)
| ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B)
| skolemFOFtoCNF_B = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_31:[bind(A,$fot(skolemFOFtoCNF_B)),bind(B,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_33,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2)
| skolemFOFtoCNF_B = skolemFOFtoCNF_A_2 ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_B) )],[refute_0_25,refute_0_32]) ).
cnf(refute_0_34,plain,
~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2) )],[refute_0_33,refute_0_24]) ).
cnf(refute_0_35,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2),skolemFOFtoCNF_A_2) )],[refute_0_30,refute_0_34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET962+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n028.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 : Sat Jul 9 18:48:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 19.63/19.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.63/19.80
% 19.63/19.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.63/19.81
%------------------------------------------------------------------------------