TSTP Solution File: NUM560+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM560+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 12:27:44 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 6 unt; 0 def)
% Number of atoms : 57 ( 8 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 64 ( 25 ~; 11 |; 16 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(W0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,W0) = xy ) ) )
=> ( ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) )
| aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ) ) ).
fof(subgoal_0,plain,
( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(W0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,W0) = xy ) )
& ~ ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) ) )
=> aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ( ( aSet0(sdtlbdtrb0(xF,xy))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( aElementOf0(W0,szDzozmdt0(xF))
& sdtlpdtrp0(xF,W0) = xy ) )
& ~ ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xF,xy))
=> aElementOf0(W0,szDzozmdt0(xF)) ) )
=> aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ aSubsetOf0(sdtlbdtrb0(xF,xy),szDzozmdt0(xF))
& aSet0(sdtlbdtrb0(xF,xy))
& ? [W0] :
( ~ aElementOf0(W0,szDzozmdt0(xF))
& aElementOf0(W0,sdtlbdtrb0(xF,xy)) )
& ! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [W0] :
( ~ aElementOf0(W0,szDzozmdt0(xF))
& aElementOf0(W0,sdtlbdtrb0(xF,xy)) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF))
& aElementOf0(skolemFOFtoCNF_W0,sdtlbdtrb0(xF,xy)) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0,sdtlbdtrb0(xF,xy)),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
<=> ( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF)) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0] :
( ( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
| sdtlpdtrp0(xF,W0) = xy )
& ( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
| aElementOf0(W0,szDzozmdt0(xF)) )
& ( sdtlpdtrp0(xF,W0) != xy
| ~ aElementOf0(W0,szDzozmdt0(xF))
| aElementOf0(W0,sdtlbdtrb0(xF,xy)) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [W0] :
( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
| aElementOf0(W0,szDzozmdt0(xF)) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
~ aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF)),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
aElementOf0(skolemFOFtoCNF_W0,sdtlbdtrb0(xF,xy)),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(W0,sdtlbdtrb0(xF,xy))
| aElementOf0(W0,szDzozmdt0(xF)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0,sdtlbdtrb0(xF,xy))
| aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF)) ),
inference(subst,[],[refute_0_1:[bind(W0,$fot(skolemFOFtoCNF_W0))]]) ).
cnf(refute_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF)),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,sdtlbdtrb0(xF,xy)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
~ aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0,szDzozmdt0(xF)) )],[refute_0_3,refute_0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM560+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 : n020.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 : Tue Jul 5 12:05:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45
% 0.19/0.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.45
%------------------------------------------------------------------------------