%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 18:21:01 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 21 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 28 ~; 21 |; 9 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 12 ( 0 sgn 4 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(iokaste_oedipus,axiom,
parent_of(iokaste,oedipus) ).
fof(iokaste_polyneikes,axiom,
parent_of(iokaste,polyneikes) ).
fof(oedipus_polyneikes,axiom,
parent_of(oedipus,polyneikes) ).
fof(polyneikes_thersandros,axiom,
parent_of(polyneikes,thersandros) ).
fof(oedipus_patricidal,axiom,
patricide(oedipus) ).
fof(thersandros_not_patricidal,axiom,
~ patricide(thersandros) ).
fof(iokaste_parent_particide_parent_not_patricide,conjecture,
? [P,NP] :
( parent_of(iokaste,P)
& patricide(P)
& parent_of(P,NP)
& ~ patricide(NP) ) ).
fof(subgoal_0,plain,
? [P,NP] :
( parent_of(iokaste,P)
& patricide(P)
& parent_of(P,NP)
& ~ patricide(NP) ),
inference(strip,[],[iokaste_parent_particide_parent_not_patricide]) ).
fof(negate_0_0,plain,
~ ? [P,NP] :
( parent_of(iokaste,P)
& patricide(P)
& parent_of(P,NP)
& ~ patricide(NP) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
parent_of(polyneikes,thersandros),
inference(canonicalize,[],[polyneikes_thersandros]) ).
fof(normalize_0_1,plain,
! [NP,P] :
( ~ parent_of(P,NP)
| ~ parent_of(iokaste,P)
| ~ patricide(P)
| patricide(NP) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_2,plain,
! [NP,P] :
( ~ parent_of(P,NP)
| ~ parent_of(iokaste,P)
| ~ patricide(P)
| patricide(NP) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
parent_of(iokaste,polyneikes),
inference(canonicalize,[],[iokaste_polyneikes]) ).
fof(normalize_0_4,plain,
parent_of(oedipus,polyneikes),
inference(canonicalize,[],[oedipus_polyneikes]) ).
fof(normalize_0_5,plain,
parent_of(iokaste,oedipus),
inference(canonicalize,[],[iokaste_oedipus]) ).
fof(normalize_0_6,plain,
patricide(oedipus),
inference(canonicalize,[],[oedipus_patricidal]) ).
fof(normalize_0_7,plain,
~ patricide(thersandros),
inference(canonicalize,[],[thersandros_not_patricidal]) ).
cnf(refute_0_0,plain,
parent_of(polyneikes,thersandros),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ parent_of(P,NP)
| ~ parent_of(iokaste,P)
| ~ patricide(P)
| patricide(NP) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
( ~ parent_of(iokaste,polyneikes)
| ~ parent_of(polyneikes,thersandros)
| ~ patricide(polyneikes)
| patricide(thersandros) ),
inference(subst,[],[refute_0_1:[bind(NP,$fot(thersandros)),bind(P,$fot(polyneikes))]]) ).
cnf(refute_0_3,plain,
( ~ parent_of(iokaste,polyneikes)
| ~ patricide(polyneikes)
| patricide(thersandros) ),
inference(resolve,[$cnf( parent_of(polyneikes,thersandros) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
parent_of(iokaste,polyneikes),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_5,plain,
( ~ patricide(polyneikes)
| patricide(thersandros) ),
inference(resolve,[$cnf( parent_of(iokaste,polyneikes) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
parent_of(oedipus,polyneikes),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_7,plain,
( ~ parent_of(iokaste,oedipus)
| ~ parent_of(oedipus,polyneikes)
| ~ patricide(oedipus)
| patricide(polyneikes) ),
inference(subst,[],[refute_0_1:[bind(NP,$fot(polyneikes)),bind(P,$fot(oedipus))]]) ).
cnf(refute_0_8,plain,
( ~ parent_of(iokaste,oedipus)
| ~ patricide(oedipus)
| patricide(polyneikes) ),
inference(resolve,[$cnf( parent_of(oedipus,polyneikes) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
parent_of(iokaste,oedipus),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_10,plain,
( ~ patricide(oedipus)
| patricide(polyneikes) ),
inference(resolve,[$cnf( parent_of(iokaste,oedipus) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
patricide(oedipus),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_12,plain,
patricide(polyneikes),
inference(resolve,[$cnf( patricide(oedipus) )],[refute_0_11,refute_0_10]) ).
cnf(refute_0_13,plain,
patricide(thersandros),
inference(resolve,[$cnf( patricide(polyneikes) )],[refute_0_12,refute_0_5]) ).
cnf(refute_0_14,plain,
~ patricide(thersandros),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
$false,
inference(resolve,[$cnf( patricide(thersandros) )],[refute_0_13,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun May 29 00:05:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------