%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM617+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 12:28:16 EDT 2022
% Result : Theorem 0.47s 0.69s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 5 |; 8 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__5106,hypothesis,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xQ,szNzAzT0) ) ).
fof(m__5348,hypothesis,
( aElement0(xx)
& aElementOf0(xx,xQ)
& xx != szmzizndt0(xQ)
& aElementOf0(xx,xP) ) ).
fof(m__,conjecture,
aElementOf0(xx,szNzAzT0) ).
fof(subgoal_0,plain,
aElementOf0(xx,szNzAzT0),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ aElementOf0(xx,szNzAzT0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( xx != szmzizndt0(xQ)
& aElement0(xx)
& aElementOf0(xx,xP)
& aElementOf0(xx,xQ) ),
inference(canonicalize,[],[m__5348]) ).
fof(normalize_0_1,plain,
aElementOf0(xx,xQ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( aSubsetOf0(xQ,szNzAzT0)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ) ),
inference(canonicalize,[],[m__5106]) ).
fof(normalize_0_3,plain,
! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
~ aElementOf0(xx,szNzAzT0),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
aElementOf0(xx,xQ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,szNzAzT0) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ aElementOf0(xx,xQ)
| aElementOf0(xx,szNzAzT0) ),
inference(subst,[],[refute_0_1:[bind(W0,$fot(xx))]]) ).
cnf(refute_0_3,plain,
aElementOf0(xx,szNzAzT0),
inference(resolve,[$cnf( aElementOf0(xx,xQ) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ aElementOf0(xx,szNzAzT0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( aElementOf0(xx,szNzAzT0) )],[refute_0_3,refute_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM617+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jul 6 08:59:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.69
% 0.47/0.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.47/0.69
%------------------------------------------------------------------------------