TSTP Solution File: SET183+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 03:33:23 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 23 unt; 0 def)
% Number of atoms : 177 ( 48 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 175 ( 78 ~; 72 |; 12 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 130 ( 3 sgn 60 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(intersection_defn,axiom,
! [B,C,D] :
( member(D,intersection(B,C))
<=> ( member(D,B)
& member(D,C) ) ) ).
fof(intersection_is_subset,axiom,
! [B,C] : subset(intersection(B,C),B) ).
fof(subset_defn,axiom,
! [B,C] :
( subset(B,C)
<=> ! [D] :
( member(D,B)
=> member(D,C) ) ) ).
fof(equal_defn,axiom,
! [B,C] :
( B = C
<=> ( subset(B,C)
& subset(C,B) ) ) ).
fof(commutativity_of_intersection,axiom,
! [B,C] : intersection(B,C) = intersection(C,B) ).
fof(prove_subset_intersection,conjecture,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ) ).
fof(subgoal_0,plain,
! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
inference(strip,[],[prove_subset_intersection]) ).
fof(negate_0_0,plain,
~ ! [B,C] :
( subset(B,C)
=> intersection(B,C) = B ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B,C] : subset(intersection(B,C),B),
inference(canonicalize,[],[intersection_is_subset]) ).
fof(normalize_0_1,plain,
! [B,C] : subset(intersection(B,C),B),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
inference(canonicalize,[],[commutativity_of_intersection]) ).
fof(normalize_0_3,plain,
! [B,C] : intersection(B,C) = intersection(C,B),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(canonicalize,[],[equal_defn]) ).
fof(normalize_0_5,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C] :
( ( B != C
| subset(B,C) )
& ( B != C
| subset(C,B) )
& ( ~ subset(B,C)
| ~ subset(C,B)
| B = C ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [B,C] :
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_9,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B,C,D] :
( ( ~ member(skolemFOFtoCNF_D(B,C),C)
| subset(B,C) )
& ( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) )
& ( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B,C] :
( ~ member(skolemFOFtoCNF_D(B,C),C)
| subset(B,C) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [B,C] :
( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_13,plain,
? [B,C] :
( intersection(B,C) != B
& subset(B,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
( intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != skolemFOFtoCNF_B
& subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_17,plain,
! [B,C,D] :
( ~ member(D,intersection(B,C))
<=> ( ~ member(D,B)
| ~ member(D,C) ) ),
inference(canonicalize,[],[intersection_defn]) ).
fof(normalize_0_18,plain,
! [B,C,D] :
( ~ member(D,intersection(B,C))
<=> ( ~ member(D,B)
| ~ member(D,C) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [B,C,D] :
( ( ~ member(D,intersection(B,C))
| member(D,B) )
& ( ~ member(D,intersection(B,C))
| member(D,C) )
& ( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [B,C,D] :
( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != skolemFOFtoCNF_B,
inference(conjunct,[],[normalize_0_14]) ).
cnf(refute_0_0,plain,
subset(intersection(B,C),B),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
intersection(B,C) = intersection(C,B),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
( intersection(B,C) != intersection(C,B)
| ~ subset(intersection(B,C),B)
| subset(intersection(C,B),B) ),
introduced(tautology,[equality,[$cnf( subset(intersection(B,C),B) ),[0],$fot(intersection(C,B))]]) ).
cnf(refute_0_3,plain,
( ~ subset(intersection(B,C),B)
| subset(intersection(C,B),B) ),
inference(resolve,[$cnf( $equal(intersection(B,C),intersection(C,B)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
subset(intersection(C,B),B),
inference(resolve,[$cnf( subset(intersection(B,C),B) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
subset(intersection(C,X_26),X_26),
inference(subst,[],[refute_0_4:[bind(B,$fot(X_26))]]) ).
cnf(refute_0_6,plain,
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_7,plain,
( ~ subset(X_26,intersection(C,X_26))
| ~ subset(intersection(C,X_26),X_26)
| intersection(C,X_26) = X_26 ),
inference(subst,[],[refute_0_6:[bind(B,$fot(intersection(C,X_26))),bind(C,$fot(X_26))]]) ).
cnf(refute_0_8,plain,
( ~ subset(X_26,intersection(C,X_26))
| intersection(C,X_26) = X_26 ),
inference(resolve,[$cnf( subset(intersection(C,X_26),X_26) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ subset(X_28,intersection(X_27,X_28))
| intersection(X_27,X_28) = X_28 ),
inference(subst,[],[refute_0_8:[bind(C,$fot(X_27)),bind(X_26,$fot(X_28))]]) ).
cnf(refute_0_10,plain,
intersection(X_28,X_27) = intersection(X_27,X_28),
inference(subst,[],[refute_0_1:[bind(B,$fot(X_28)),bind(C,$fot(X_27))]]) ).
cnf(refute_0_11,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_12,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_13,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( intersection(X_28,X_27) != intersection(X_27,X_28)
| intersection(X_27,X_28) = intersection(X_28,X_27) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(intersection(X_28,X_27))),bind(Y,$fot(intersection(X_27,X_28)))]]) ).
cnf(refute_0_15,plain,
intersection(X_27,X_28) = intersection(X_28,X_27),
inference(resolve,[$cnf( $equal(intersection(X_28,X_27),intersection(X_27,X_28)) )],[refute_0_10,refute_0_14]) ).
cnf(refute_0_16,plain,
( intersection(X_27,X_28) != intersection(X_28,X_27)
| ~ subset(X_28,intersection(X_28,X_27))
| subset(X_28,intersection(X_27,X_28)) ),
introduced(tautology,[equality,[$cnf( ~ subset(X_28,intersection(X_27,X_28)) ),[1],$fot(intersection(X_28,X_27))]]) ).
cnf(refute_0_17,plain,
( ~ subset(X_28,intersection(X_28,X_27))
| subset(X_28,intersection(X_27,X_28)) ),
inference(resolve,[$cnf( $equal(intersection(X_27,X_28),intersection(X_28,X_27)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ subset(X_28,intersection(X_28,X_27))
| intersection(X_27,X_28) = X_28 ),
inference(resolve,[$cnf( subset(X_28,intersection(X_27,X_28)) )],[refute_0_17,refute_0_9]) ).
cnf(refute_0_19,plain,
( ~ subset(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_18:[bind(X_27,$fot(skolemFOFtoCNF_C)),bind(X_28,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_20,plain,
( ~ member(skolemFOFtoCNF_D(B,C),C)
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_21,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_20:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_22,plain,
( member(skolemFOFtoCNF_D(B,C),B)
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_23,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_B,X_287) ),
inference(subst,[],[refute_0_22:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(X_287))]]) ).
cnf(refute_0_24,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_B)
| subset(skolemFOFtoCNF_B,C) ),
inference(subst,[],[refute_0_22:[bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_25,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_26,plain,
( ~ member(D,B)
| ~ subset(B,C)
| member(D,C) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_27,plain,
( ~ member(X_50,skolemFOFtoCNF_B)
| ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| member(X_50,skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_26:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(X_50))]]) ).
cnf(refute_0_28,plain,
( ~ member(X_50,skolemFOFtoCNF_B)
| member(X_50,skolemFOFtoCNF_C) ),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C) )],[refute_0_25,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_C) ),
inference(subst,[],[refute_0_28:[bind(X_50,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C)))]]) ).
cnf(refute_0_30,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_C)
| subset(skolemFOFtoCNF_B,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_B) )],[refute_0_24,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ member(D,B)
| ~ member(D,C)
| member(D,intersection(B,C)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_32,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),X_82)
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_C)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),intersection(skolemFOFtoCNF_C,X_82)) ),
inference(subst,[],[refute_0_31:[bind(B,$fot(skolemFOFtoCNF_C)),bind(C,$fot(X_82)),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C)))]]) ).
cnf(refute_0_33,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),X_82)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),intersection(skolemFOFtoCNF_C,X_82))
| subset(skolemFOFtoCNF_B,C) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,C),skolemFOFtoCNF_C) )],[refute_0_30,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),skolemFOFtoCNF_B)
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| subset(skolemFOFtoCNF_B,X_287) ),
inference(subst,[],[refute_0_33:[bind(C,$fot(X_287)),bind(X_82,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_35,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| subset(skolemFOFtoCNF_B,X_287) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),skolemFOFtoCNF_B) )],[refute_0_23,refute_0_34]) ).
cnf(refute_0_36,plain,
( intersection(B,C) != intersection(C,B)
| intersection(C,B) = intersection(B,C) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(intersection(B,C))),bind(Y,$fot(intersection(C,B)))]]) ).
cnf(refute_0_37,plain,
intersection(C,B) = intersection(B,C),
inference(resolve,[$cnf( $equal(intersection(B,C),intersection(C,B)) )],[refute_0_1,refute_0_36]) ).
cnf(refute_0_38,plain,
intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) = intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),
inference(subst,[],[refute_0_37:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_39,plain,
( intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) ),[1],$fot(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_40,plain,
( ~ member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B))
| member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,X_287) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,X_287),intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B)) )],[refute_0_35,refute_0_40]) ).
cnf(refute_0_42,plain,
( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))
| subset(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_41:[bind(X_287,$fot(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_43,plain,
subset(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_42,refute_0_21]) ).
cnf(refute_0_44,plain,
intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_43,refute_0_19]) ).
cnf(refute_0_45,plain,
( intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)
| intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( $equal(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B),skolemFOFtoCNF_B) ),[0],$fot(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_46,plain,
( intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B) != skolemFOFtoCNF_B
| intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B),intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C)) )],[refute_0_38,refute_0_45]) ).
cnf(refute_0_47,plain,
intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(intersection(skolemFOFtoCNF_C,skolemFOFtoCNF_B),skolemFOFtoCNF_B) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C) != skolemFOFtoCNF_B,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( $equal(intersection(skolemFOFtoCNF_B,skolemFOFtoCNF_C),skolemFOFtoCNF_B) )],[refute_0_47,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET183+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 21:53:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.65
%------------------------------------------------------------------------------