TSTP Solution File: SET587+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 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 03:35:39 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 96 ( 28 unt; 0 def)
% Number of atoms : 196 ( 35 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 194 ( 94 ~; 61 |; 15 &)
% ( 19 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 143 ( 12 sgn 83 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(difference_defn,axiom,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ) ).
fof(empty_set_defn,axiom,
! [B] : ~ member(B,empty_set) ).
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(empty_defn,axiom,
! [B] :
( empty(B)
<=> ! [C] : ~ member(C,B) ) ).
fof(prove_difference_empty_set,conjecture,
! [B,C] :
( difference(B,C) = empty_set
<=> subset(B,C) ) ).
fof(subgoal_0,plain,
! [B,C] :
( difference(B,C) = empty_set
=> subset(B,C) ),
inference(strip,[],[prove_difference_empty_set]) ).
fof(subgoal_1,plain,
! [B,C] :
( subset(B,C)
=> difference(B,C) = empty_set ),
inference(strip,[],[prove_difference_empty_set]) ).
fof(negate_0_0,plain,
~ ! [B,C] :
( difference(B,C) = empty_set
=> subset(B,C) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_0_1,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_0_2,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(simplify,[],[normalize_0_0,normalize_0_2]) ).
fof(normalize_0_4,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [B,C,D] :
( ( ~ member(D,difference(B,C))
| ~ subset(B,C) )
& ( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [B,C] :
( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
? [B,C] :
( ~ subset(B,C)
& difference(B,C) = empty_set ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_8,plain,
( ~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)
& difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) = empty_set ),
inference(skolemize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) = empty_set,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B] : ~ member(B,empty_set),
inference(canonicalize,[],[empty_set_defn]) ).
fof(normalize_0_11,plain,
! [B] : ~ member(B,empty_set),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_8]) ).
cnf(refute_0_0,plain,
( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1))
| subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) ),
inference(subst,[],[refute_0_0:[bind(B,$fot(skolemFOFtoCNF_B)),bind(C,$fot(skolemFOFtoCNF_C_1))]]) ).
cnf(refute_0_2,plain,
difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) = empty_set,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_3,plain,
( difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) != empty_set
| ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1))
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set) ),
introduced(tautology,[equality,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)) ),[1],$fot(empty_set)]]) ).
cnf(refute_0_4,plain,
( ~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1))
| member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set) ),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set)
| subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),difference(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
~ member(B,empty_set),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
~ member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set),
inference(subst,[],[refute_0_6:[bind(B,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)))]]) ).
cnf(refute_0_8,plain,
subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),empty_set) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
~ subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) )],[refute_0_8,refute_0_9]) ).
fof(negate_1_0,plain,
~ ! [B,C] :
( subset(B,C)
=> difference(B,C) = empty_set ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [B] :
( ~ empty(B)
<=> ? [C] : member(C,B) ),
inference(canonicalize,[],[empty_defn]) ).
fof(normalize_1_1,plain,
! [B] :
( ~ empty(B)
<=> ? [C] : member(C,B) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [B,C] :
( ( ~ empty(B)
| ~ member(C,B) )
& ( empty(B)
| member(skolemFOFtoCNF_C(B),B) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [B,C] :
( ~ empty(B)
| ~ member(C,B) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] :
( ~ member(D,C)
& member(D,B) ) ),
inference(canonicalize,[],[subset_defn]) ).
fof(normalize_1_5,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(canonicalize,[],[difference_defn]) ).
fof(normalize_1_6,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
<=> ( ~ member(D,B)
| member(D,C) ) ),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(simplify,[],[normalize_1_4,normalize_1_6]) ).
fof(normalize_1_8,plain,
! [B,C] :
( ~ subset(B,C)
<=> ? [D] : member(D,difference(B,C)) ),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [B,C,D] :
( ( ~ member(D,difference(B,C))
| ~ subset(B,C) )
& ( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ) ),
inference(clausify,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [B,C] :
( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [B,C,D] :
( ( ~ member(D,C)
| ~ member(D,difference(B,C)) )
& ( ~ member(D,difference(B,C))
| member(D,B) )
& ( ~ member(D,B)
| member(D,C)
| member(D,difference(B,C)) ) ),
inference(clausify,[],[normalize_1_6]) ).
fof(normalize_1_12,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
? [B,C] :
( difference(B,C) != empty_set
& subset(B,C) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_14,plain,
( difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) != empty_set
& subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) ),
inference(skolemize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [B] :
( empty(B)
| member(skolemFOFtoCNF_C(B),B) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_17,plain,
! [B,C,D] :
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(conjunct,[],[normalize_1_9]) ).
fof(normalize_1_18,plain,
! [B] : ~ member(B,empty_set),
inference(canonicalize,[],[empty_set_defn]) ).
fof(normalize_1_19,plain,
! [B] : ~ member(B,empty_set),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(canonicalize,[],[equal_defn]) ).
fof(normalize_1_21,plain,
! [B,C] :
( B != C
<=> ( ~ subset(B,C)
| ~ subset(C,B) ) ),
inference(specialize,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
! [B,C] :
( ( B != C
| subset(B,C) )
& ( B != C
| subset(C,B) )
& ( ~ subset(B,C)
| ~ subset(C,B)
| B = C ) ),
inference(clausify,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
! [B,C] :
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) != empty_set,
inference(conjunct,[],[normalize_1_14]) ).
cnf(refute_1_0,plain,
( ~ empty(B)
| ~ member(C,B) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ empty(X_24)
| ~ member(skolemFOFtoCNF_D_1(X_24,X_25),X_24) ),
inference(subst,[],[refute_1_0:[bind(B,$fot(X_24)),bind(C,$fot(skolemFOFtoCNF_D_1(X_24,X_25)))]]) ).
cnf(refute_1_2,plain,
( member(skolemFOFtoCNF_D_1(B,C),difference(B,C))
| subset(B,C) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_3,plain,
( member(skolemFOFtoCNF_D_1(X_21,X_22),difference(X_21,X_22))
| subset(X_21,X_22) ),
inference(subst,[],[refute_1_2:[bind(B,$fot(X_21)),bind(C,$fot(X_22))]]) ).
cnf(refute_1_4,plain,
( ~ member(D,difference(B,C))
| member(D,B) ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_5,plain,
( ~ member(skolemFOFtoCNF_D_1(X_21,X_22),difference(X_21,X_22))
| member(skolemFOFtoCNF_D_1(X_21,X_22),X_21) ),
inference(subst,[],[refute_1_4:[bind(B,$fot(X_21)),bind(C,$fot(X_22)),bind(D,$fot(skolemFOFtoCNF_D_1(X_21,X_22)))]]) ).
cnf(refute_1_6,plain,
( member(skolemFOFtoCNF_D_1(X_21,X_22),X_21)
| subset(X_21,X_22) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_21,X_22),difference(X_21,X_22)) )],[refute_1_3,refute_1_5]) ).
cnf(refute_1_7,plain,
( member(skolemFOFtoCNF_D_1(X_24,X_25),X_24)
| subset(X_24,X_25) ),
inference(subst,[],[refute_1_6:[bind(X_21,$fot(X_24)),bind(X_22,$fot(X_25))]]) ).
cnf(refute_1_8,plain,
( ~ empty(X_24)
| subset(X_24,X_25) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(X_24,X_25),X_24) )],[refute_1_7,refute_1_1]) ).
cnf(refute_1_9,plain,
( ~ empty(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2))
| subset(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),X_25) ),
inference(subst,[],[refute_1_8:[bind(X_24,$fot(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_1_10,plain,
subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_11,plain,
( empty(B)
| member(skolemFOFtoCNF_C(B),B) ),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_12,plain,
( empty(difference(X_29,X_30))
| member(skolemFOFtoCNF_C(difference(X_29,X_30)),difference(X_29,X_30)) ),
inference(subst,[],[refute_1_11:[bind(B,$fot(difference(X_29,X_30)))]]) ).
cnf(refute_1_13,plain,
( ~ member(D,difference(B,C))
| ~ subset(B,C) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_14,plain,
( ~ member(skolemFOFtoCNF_C(difference(X_29,X_30)),difference(X_29,X_30))
| ~ subset(X_29,X_30) ),
inference(subst,[],[refute_1_13:[bind(B,$fot(X_29)),bind(C,$fot(X_30)),bind(D,$fot(skolemFOFtoCNF_C(difference(X_29,X_30))))]]) ).
cnf(refute_1_15,plain,
( ~ subset(X_29,X_30)
| empty(difference(X_29,X_30)) ),
inference(resolve,[$cnf( member(skolemFOFtoCNF_C(difference(X_29,X_30)),difference(X_29,X_30)) )],[refute_1_12,refute_1_14]) ).
cnf(refute_1_16,plain,
( ~ subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)
| empty(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)) ),
inference(subst,[],[refute_1_15:[bind(X_29,$fot(skolemFOFtoCNF_B_1)),bind(X_30,$fot(skolemFOFtoCNF_C_2))]]) ).
cnf(refute_1_17,plain,
empty(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) )],[refute_1_10,refute_1_16]) ).
cnf(refute_1_18,plain,
subset(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),X_25),
inference(resolve,[$cnf( empty(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)) )],[refute_1_17,refute_1_9]) ).
cnf(refute_1_19,plain,
subset(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),empty_set),
inference(subst,[],[refute_1_18:[bind(X_25,$fot(empty_set))]]) ).
cnf(refute_1_20,plain,
~ member(B,empty_set),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_21,plain,
~ member(skolemFOFtoCNF_D_1(empty_set,X_25),empty_set),
inference(subst,[],[refute_1_20:[bind(B,$fot(skolemFOFtoCNF_D_1(empty_set,X_25)))]]) ).
cnf(refute_1_22,plain,
( member(skolemFOFtoCNF_D_1(empty_set,X_25),empty_set)
| subset(empty_set,X_25) ),
inference(subst,[],[refute_1_6:[bind(X_21,$fot(empty_set)),bind(X_22,$fot(X_25))]]) ).
cnf(refute_1_23,plain,
subset(empty_set,X_25),
inference(resolve,[$cnf( member(skolemFOFtoCNF_D_1(empty_set,X_25),empty_set) )],[refute_1_22,refute_1_21]) ).
cnf(refute_1_24,plain,
subset(empty_set,X_86),
inference(subst,[],[refute_1_23:[bind(X_25,$fot(X_86))]]) ).
cnf(refute_1_25,plain,
( ~ subset(B,C)
| ~ subset(C,B)
| B = C ),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_26,plain,
( ~ subset(X_86,empty_set)
| ~ subset(empty_set,X_86)
| empty_set = X_86 ),
inference(subst,[],[refute_1_25:[bind(B,$fot(empty_set)),bind(C,$fot(X_86))]]) ).
cnf(refute_1_27,plain,
( ~ subset(X_86,empty_set)
| empty_set = X_86 ),
inference(resolve,[$cnf( subset(empty_set,X_86) )],[refute_1_24,refute_1_26]) ).
cnf(refute_1_28,plain,
( ~ subset(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),empty_set)
| empty_set = difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) ),
inference(subst,[],[refute_1_27:[bind(X_86,$fot(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_1_29,plain,
empty_set = difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( subset(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),empty_set) )],[refute_1_19,refute_1_28]) ).
cnf(refute_1_30,plain,
difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) != empty_set,
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_31,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_32,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_33,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( empty_set != difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)
| difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2) = empty_set ),
inference(subst,[],[refute_1_33:[bind(X,$fot(empty_set)),bind(Y,$fot(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)))]]) ).
cnf(refute_1_35,plain,
empty_set != difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),
inference(resolve,[$cnf( $equal(difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2),empty_set) )],[refute_1_34,refute_1_30]) ).
cnf(refute_1_36,plain,
$false,
inference(resolve,[$cnf( $equal(empty_set,difference(skolemFOFtoCNF_B_1,skolemFOFtoCNF_C_2)) )],[refute_1_29,refute_1_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET587+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 18:35:16 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------