%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 12:27:30 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 61 ( 19 ~; 11 |; 19 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 15 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC) )
=> ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) )
| aSubsetOf0(xA,xC) ) ) ).
fof(subgoal_0,plain,
( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC)
& ~ ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) ) )
=> aSubsetOf0(xA,xC) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ( ( ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xB) )
& aSubsetOf0(xA,xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,xC) )
& aSubsetOf0(xB,xC)
& ~ ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,xC) ) )
=> aSubsetOf0(xA,xC) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ aSubsetOf0(xA,xC)
& aSubsetOf0(xA,xB)
& aSubsetOf0(xB,xC)
& ? [W0] :
( ~ aElementOf0(W0,xC)
& aElementOf0(W0,xA) )
& ! [W0] :
( ~ aElementOf0(W0,xA)
| aElementOf0(W0,xB) )
& ! [W0] :
( ~ aElementOf0(W0,xB)
| aElementOf0(W0,xC) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [W0] :
( ~ aElementOf0(W0,xC)
& aElementOf0(W0,xA) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0,xC)
& aElementOf0(skolemFOFtoCNF_W0,xA) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0,xA),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] :
( ~ aElementOf0(W0,xA)
| aElementOf0(W0,xB) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aElementOf0(W0,xA)
| aElementOf0(W0,xB) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0] :
( ~ aElementOf0(W0,xB)
| aElementOf0(W0,xC) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
! [W0] :
( ~ aElementOf0(W0,xB)
| aElementOf0(W0,xC) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
~ aElementOf0(skolemFOFtoCNF_W0,xC),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
aElementOf0(skolemFOFtoCNF_W0,xA),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(W0,xA)
| aElementOf0(W0,xB) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0,xA)
| aElementOf0(skolemFOFtoCNF_W0,xB) ),
inference(subst,[],[refute_0_1:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0,xB),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,xA) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ aElementOf0(W0,xB)
| aElementOf0(W0,xC) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0,xB)
| aElementOf0(skolemFOFtoCNF_W0,xC) ),
inference(subst,[],[refute_0_4:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_6,plain,
aElementOf0(skolemFOFtoCNF_W0,xC),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,xB) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
~ aElementOf0(skolemFOFtoCNF_W0,xC),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,xC) )],[refute_0_6,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM533+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.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 03:18:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------