TSTP Solution File: NUM547+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 12:27:37 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 106 ( 16 equ)
% Maximal formula atoms : 43 ( 7 avg)
% Number of connectives : 118 ( 26 ~; 23 |; 52 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 1 sgn 24 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__2227,hypothesis,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xT,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) )
& aSubsetOf0(W0,xT)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xT) ) )
| aSubsetOf0(W0,xT) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) ) )
& ! [W0] :
( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> aElementOf0(W0,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [W0] :
( ( aElementOf0(W0,slbdtsldtrb0(xS,xk))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& sbrdtbr0(W0) = xk ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
=> aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ) ).
fof(m__,conjecture,
? [W0] :
( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
| aElementOf0(W0,slbdtsldtrb0(xS,xk)) ) ).
fof(subgoal_0,plain,
? [W0] :
( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
| aElementOf0(W0,slbdtsldtrb0(xS,xk)) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& sbrdtbr0(W0) = xk )
| aElementOf0(W0,slbdtsldtrb0(xS,xk)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( slbdtsldtrb0(xS,xk) != slcrc0
& aSet0(slbdtsldtrb0(xS,xk))
& aSet0(slbdtsldtrb0(xT,xk))
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk))
& ! [W0] :
( ~ aElementOf0(W0,slbdtsldtrb0(xS,xk))
| aElementOf0(W0,slbdtsldtrb0(xT,xk)) )
& ! [W0] :
( ~ aElementOf0(W0,slbdtsldtrb0(xS,xk))
| ( sbrdtbr0(W0) = xk
& aSet0(W0)
& aSubsetOf0(W0,xS)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| aElementOf0(W1,xS) ) ) )
& ! [W0] :
( ~ aElementOf0(W0,slbdtsldtrb0(xT,xk))
| ( sbrdtbr0(W0) = xk
& aSet0(W0)
& aSubsetOf0(W0,xT)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| aElementOf0(W1,xT) ) ) )
& ! [W0] :
( sbrdtbr0(W0) != xk
| aElementOf0(W0,slbdtsldtrb0(xS,xk))
| ( ~ aSubsetOf0(W0,xS)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xS)
& aElementOf0(W1,W0) ) ) ) )
& ! [W0] :
( sbrdtbr0(W0) != xk
| aElementOf0(W0,slbdtsldtrb0(xT,xk))
| ( ~ aSubsetOf0(W0,xT)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xT)
& aElementOf0(W1,W0) ) ) ) ) ),
inference(canonicalize,[],[m__2227]) ).
fof(normalize_0_1,plain,
? [W0] : aElementOf0(W0,slbdtsldtrb0(xS,xk)),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
aElementOf0(skolemFOFtoCNF_W0,slbdtsldtrb0(xS,xk)),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ! [W0] : ~ aElementOf0(W0,slbdtsldtrb0(xS,xk))
& ! [W0] :
( sbrdtbr0(W0) != xk
| ( ~ aSubsetOf0(W0,xS)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xS)
& aElementOf0(W1,W0) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
! [W0] : ~ aElementOf0(W0,slbdtsldtrb0(xS,xk)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W0] : ~ aElementOf0(W0,slbdtsldtrb0(xS,xk)),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
aElementOf0(skolemFOFtoCNF_W0,slbdtsldtrb0(xS,xk)),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
~ aElementOf0(W0,slbdtsldtrb0(xS,xk)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
~ aElementOf0(skolemFOFtoCNF_W0,slbdtsldtrb0(xS,xk)),
inference(subst,[],[refute_0_1:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_3,plain,
$false,
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,slbdtsldtrb0(xS,xk)) )],[refute_0_0,refute_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM547+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % 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 : Thu Jul 7 05:59:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44
% 0.19/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.44
%------------------------------------------------------------------------------