%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUM607+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 12:28:11 EDT 2022
% Result : Theorem 0.41s 0.60s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 70 ( 2 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 71 ( 26 ~; 14 |; 21 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__4998,hypothesis,
( ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xO,xS) ) ).
fof(m__5078,hypothesis,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ) ).
fof(m__,conjecture,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
| aSubsetOf0(xQ,xS)
| aElementOf0(xQ,szDzozmdt0(xc)) ) ).
fof(subgoal_0,plain,
( ( ~ ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& ~ aSubsetOf0(xQ,xS)
& ~ ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& ~ aSubsetOf0(xQ,xS) )
=> aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ( ( ~ ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& ~ aSubsetOf0(xQ,xS)
& ~ ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xS) )
& ~ aSubsetOf0(xQ,xS) )
=> aElementOf0(xQ,szDzozmdt0(xc)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ aElementOf0(xQ,szDzozmdt0(xc))
& ~ aSubsetOf0(xQ,xS)
& ? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,xQ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [W0] :
( ~ aElementOf0(W0,xS)
& aElementOf0(W0,xQ) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0_1,xS)
& aElementOf0(skolemFOFtoCNF_W0_1,xQ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0_1,xQ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( sbrdtbr0(xQ) = xK
& aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& aSet0(xQ)
& aSubsetOf0(xQ,xO)
& ! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,xO) ) ),
inference(canonicalize,[],[m__5078]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,xO) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0] :
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,xO) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( aSubsetOf0(xO,xS)
& ! [W0] :
( ~ aElementOf0(W0,xO)
| aElementOf0(W0,xS) ) ),
inference(canonicalize,[],[m__4998]) ).
fof(normalize_0_8,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| aElementOf0(W0,xS) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [W0] :
( ~ aElementOf0(W0,xO)
| aElementOf0(W0,xS) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
~ aElementOf0(skolemFOFtoCNF_W0_1,xS),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
aElementOf0(skolemFOFtoCNF_W0_1,xQ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(W0,xQ)
| aElementOf0(W0,xO) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0_1,xQ)
| aElementOf0(skolemFOFtoCNF_W0_1,xO) ),
inference(subst,[],[refute_0_1:[bind(W0,$fot(skolemFOFtoCNF_W0_1))]]) ).
cnf(refute_0_3,plain,
aElementOf0(skolemFOFtoCNF_W0_1,xO),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0_1,xQ) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ aElementOf0(W0,xO)
| aElementOf0(W0,xS) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ aElementOf0(skolemFOFtoCNF_W0_1,xO)
| aElementOf0(skolemFOFtoCNF_W0_1,xS) ),
inference(subst,[],[refute_0_4:[bind(W0,$fot(skolemFOFtoCNF_W0_1))]]) ).
cnf(refute_0_6,plain,
aElementOf0(skolemFOFtoCNF_W0_1,xS),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0_1,xO) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
~ aElementOf0(skolemFOFtoCNF_W0_1,xS),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W0_1,xS) )],[refute_0_6,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM607+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 05:53:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.41/0.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60
% 0.41/0.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.41/0.60
%------------------------------------------------------------------------------