TSTP Solution File: NUM545+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 : Mon Jul 18 12:27:36 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 70 ( 14 unt; 2 def)
% Number of atoms : 249 ( 28 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 284 ( 105 ~; 90 |; 64 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 2 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-1 aty)
% Number of variables : 59 ( 0 sgn 44 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mDefEmp,definition,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ) ).
fof(mSubRefl,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ) ).
fof(mZeroNum,axiom,
aElementOf0(sz00,szNzAzT0) ).
fof(mSuccNum,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& szszuzczcdt0(W0) != sz00 ) ) ).
fof(mSegZero,axiom,
slbdtrb0(sz00) = slcrc0 ).
fof(m__1986,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ) ).
fof(m__2035,hypothesis,
( ~ ( ~ ? [W0] : aElementOf0(W0,xS)
& xS = slcrc0 )
=> ( aElementOf0(szmzazxdt0(xS),xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,szmzazxdt0(xS)) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( aElementOf0(W0,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) )
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) ) ).
fof(m__,conjecture,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& ( ( aSet0(slbdtrb0(W0))
& ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( aElementOf0(W1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,xS)
=> aElementOf0(W1,slbdtrb0(W0)) )
| aSubsetOf0(xS,slbdtrb0(W0)) ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) ) ) ).
fof(subgoal_0,plain,
? [W0] :
( aElementOf0(W0,szNzAzT0)
& ( ( aSet0(slbdtrb0(W0))
& ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( aElementOf0(W1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,xS)
=> aElementOf0(W1,slbdtrb0(W0)) )
| aSubsetOf0(xS,slbdtrb0(W0)) ) ) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& ( ( aSet0(slbdtrb0(W0))
& ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( aElementOf0(W1,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) )
=> ( ! [W1] :
( aElementOf0(W1,xS)
=> aElementOf0(W1,slbdtrb0(W0)) )
| aSubsetOf0(xS,slbdtrb0(W0)) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& aSet0(slbdtrb0(W0))
& ? [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
& aElementOf0(W1,xS) )
& ! [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
<=> ( ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& aSet0(slbdtrb0(W0))
& ? [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
& aElementOf0(W1,xS) )
& ! [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
<=> ( ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W1),W0) ) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W0,W1] :
( ( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(skolemFOFtoCNF_W1_2(W0),slbdtrb0(W0)) )
& ( ~ aElementOf0(W0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(W0)) )
& ( ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(skolemFOFtoCNF_W1_2(W0),xS) )
& ( ~ aElementOf0(W0,szNzAzT0)
| aSet0(slbdtrb0(W0)) )
& ( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,slbdtrb0(W0))
| aElementOf0(W1,szNzAzT0) )
& ( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,slbdtrb0(W0))
| sdtlseqdt0(szszuzczcdt0(W1),W0) )
& ( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W1),W0)
| aElementOf0(W1,slbdtrb0(W0)) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(W0)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
slbdtrb0(sz00) = slcrc0,
inference(canonicalize,[],[mSegZero]) ).
fof(normalize_0_5,plain,
aElementOf0(sz00,szNzAzT0),
inference(canonicalize,[],[mZeroNum]) ).
fof(normalize_0_6,plain,
( ~ definitionFOFtoCNF_0
<=> ( xS != slcrc0
| ? [W0] : aElementOf0(W0,xS) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_7,plain,
! [W0] :
( ( ~ aElementOf0(W0,xS)
| ~ definitionFOFtoCNF_0 )
& ( ~ definitionFOFtoCNF_0
| xS = slcrc0 )
& ( xS != slcrc0
| aElementOf0(skolemFOFtoCNF_W0,xS)
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( ~ definitionFOFtoCNF_0
| xS = slcrc0 ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
( ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) )
| ( aElementOf0(szmzazxdt0(xS),xS)
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(W0,szmzazxdt0(xS)) )
& ! [W0] :
( ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( ~ aElementOf0(W0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) ) ),
inference(canonicalize,[],[m__2035]) ).
fof(normalize_0_10,plain,
( definitionFOFtoCNF_0
| ( aElementOf0(szmzazxdt0(xS),xS)
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(W0,szmzazxdt0(xS)) )
& ! [W0] :
( ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( ~ aElementOf0(W0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) ) ) ) ),
inference(simplify,[],[normalize_0_9,normalize_0_6]) ).
fof(normalize_0_11,plain,
! [W0] :
( ( aElementOf0(szmzazxdt0(xS),xS)
| definitionFOFtoCNF_0 )
& ( aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 )
& ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 )
& ( ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| aElementOf0(W0,szNzAzT0)
| definitionFOFtoCNF_0 )
& ( ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0
| sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS))) )
& ( ~ aElementOf0(W0,xS)
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 )
& ( ~ aElementOf0(W0,xS)
| definitionFOFtoCNF_0
| sdtlseqdt0(W0,szmzazxdt0(xS)) )
& ( ~ aElementOf0(W0,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
( aSet0(xS)
& aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,szNzAzT0) ) ),
inference(canonicalize,[],[m__1986]) ).
fof(normalize_0_14,plain,
! [W0] :
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,szNzAzT0) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [W0] :
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,szNzAzT0) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
inference(canonicalize,[],[mSuccNum]) ).
fof(normalize_0_17,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [W0] :
( ( szszuzczcdt0(W0) != sz00
| ~ aElementOf0(W0,szNzAzT0) )
& ( ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(szszuzczcdt0(W0),szNzAzT0) ),
inference(conjunct,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_21,plain,
! [W0] :
( W0 != slcrc0
<=> ( ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(canonicalize,[],[mDefEmp]) ).
fof(normalize_0_22,plain,
! [W0] :
( W0 != slcrc0
<=> ( ~ aSet0(W0)
| ? [W1] : aElementOf0(W1,W0) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [W0,W1] :
( ( W0 != slcrc0
| ~ aElementOf0(W1,W0) )
& ( W0 != slcrc0
| aSet0(W0) )
& ( ~ aSet0(W0)
| W0 = slcrc0
| aElementOf0(skolemFOFtoCNF_W1(W0),W0) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [W0] :
( W0 != slcrc0
| aSet0(W0) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [W0] :
( ~ aSet0(W0)
| aSubsetOf0(W0,W0) ),
inference(canonicalize,[],[mSubRefl]) ).
fof(normalize_0_26,plain,
! [W0] :
( ~ aSet0(W0)
| aSubsetOf0(W0,W0) ),
inference(specialize,[],[normalize_0_25]) ).
cnf(refute_0_0,plain,
( ~ aElementOf0(W0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(W0)) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(sz00)) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(sz00))]]) ).
cnf(refute_0_2,plain,
slbdtrb0(sz00) = slcrc0,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( slbdtrb0(sz00) != slcrc0
| ~ aSubsetOf0(xS,slcrc0)
| aSubsetOf0(xS,slbdtrb0(sz00)) ),
introduced(tautology,[equality,[$cnf( ~ aSubsetOf0(xS,slbdtrb0(sz00)) ),[1],$fot(slcrc0)]]) ).
cnf(refute_0_4,plain,
( ~ aSubsetOf0(xS,slcrc0)
| aSubsetOf0(xS,slbdtrb0(sz00)) ),
inference(resolve,[$cnf( $equal(slbdtrb0(sz00),slcrc0) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| ~ aSubsetOf0(xS,slcrc0) ),
inference(resolve,[$cnf( aSubsetOf0(xS,slbdtrb0(sz00)) )],[refute_0_4,refute_0_1]) ).
cnf(refute_0_6,plain,
aElementOf0(sz00,szNzAzT0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_7,plain,
~ aSubsetOf0(xS,slcrc0),
inference(resolve,[$cnf( aElementOf0(sz00,szNzAzT0) )],[refute_0_6,refute_0_5]) ).
cnf(refute_0_8,plain,
( ~ definitionFOFtoCNF_0
| xS = slcrc0 ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_9,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_10,plain,
( ~ aElementOf0(W0,xS)
| aElementOf0(W0,szNzAzT0) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_11,plain,
( ~ aElementOf0(szmzazxdt0(xS),xS)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(subst,[],[refute_0_10:[bind(W0,$fot(szmzazxdt0(xS)))]]) ).
cnf(refute_0_12,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( aElementOf0(szmzazxdt0(xS),xS) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(szszuzczcdt0(W0),szNzAzT0) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_14,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(subst,[],[refute_0_13:[bind(W0,$fot(szmzazxdt0(xS)))]]) ).
cnf(refute_0_15,plain,
( aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( aElementOf0(szmzazxdt0(xS),szNzAzT0) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| definitionFOFtoCNF_0 ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_17,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(szszuzczcdt0(szmzazxdt0(xS))))]]) ).
cnf(refute_0_18,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| definitionFOFtoCNF_0 ),
inference(resolve,[$cnf( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
xS = slcrc0,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_19,refute_0_8]) ).
cnf(refute_0_21,plain,
( xS != slcrc0
| ~ aSubsetOf0(slcrc0,slcrc0)
| aSubsetOf0(xS,slcrc0) ),
introduced(tautology,[equality,[$cnf( ~ aSubsetOf0(xS,slcrc0) ),[0],$fot(slcrc0)]]) ).
cnf(refute_0_22,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| aSubsetOf0(xS,slcrc0) ),
inference(resolve,[$cnf( $equal(xS,slcrc0) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(resolve,[$cnf( aSubsetOf0(xS,slcrc0) )],[refute_0_22,refute_0_7]) ).
cnf(refute_0_24,plain,
( W0 != slcrc0
| aSet0(W0) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_25,plain,
( slcrc0 != slcrc0
| aSet0(slcrc0) ),
inference(subst,[],[refute_0_24:[bind(W0,$fot(slcrc0))]]) ).
cnf(refute_0_26,plain,
slcrc0 = slcrc0,
introduced(tautology,[refl,[$fot(slcrc0)]]) ).
cnf(refute_0_27,plain,
aSet0(slcrc0),
inference(resolve,[$cnf( $equal(slcrc0,slcrc0) )],[refute_0_26,refute_0_25]) ).
cnf(refute_0_28,plain,
( ~ aSet0(W0)
| aSubsetOf0(W0,W0) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_29,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(subst,[],[refute_0_28:[bind(W0,$fot(slcrc0))]]) ).
cnf(refute_0_30,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(resolve,[$cnf( aSet0(slcrc0) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
$false,
inference(resolve,[$cnf( aSubsetOf0(slcrc0,slcrc0) )],[refute_0_30,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n005.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 : Fri Jul 8 00:31:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.43
% 0.20/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.44
%------------------------------------------------------------------------------