TSTP Solution File: NUM634+3 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM634+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 12:28:26 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 45 ( 10 equ)
% Maximal formula atoms : 13 ( 5 avg)
% Number of connectives : 41 ( 5 ~; 3 |; 24 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 9 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__3462,hypothesis,
xK != sz00 ).
fof(m__3520,hypothesis,
~ ( xK != sz00 ) ).
fof(m__,conjecture,
? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,xS) ) )
| aSubsetOf0(W1,xS) )
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& sbrdtbr0(W2) = xK
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
=> sdtlpdtrp0(xc,W2) = W0 ) ) ) ).
fof(subgoal_0,plain,
? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,xS) ) )
| aSubsetOf0(W1,xS) )
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& sbrdtbr0(W2) = xK
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
=> sdtlpdtrp0(xc,W2) = W0 ) ) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,xS) ) )
| aSubsetOf0(W1,xS) )
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& sbrdtbr0(W2) = xK
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
=> sdtlpdtrp0(xc,W2) = W0 ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
xK = sz00,
inference(canonicalize,[],[m__3520]) ).
fof(normalize_0_1,plain,
xK != sz00,
inference(canonicalize,[],[m__3462]) ).
fof(normalize_0_2,plain,
$false,
inference(simplify,[],[normalize_0_0,normalize_0_1]) ).
cnf(refute_0_0,plain,
$false,
inference(canonicalize,[],[normalize_0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM634+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n008.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 : Wed Jul 6 15:16:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.38
% 0.20/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.20/0.38
%------------------------------------------------------------------------------