%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:00:07 PM UTC 2026
% Result : Theorem 0.01s 0.39s
% Output : CNFRefutation 0.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 15 |; 6 &)
% ( 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 : 14 ( 10 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
parent_of(iokaste,oedipus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
parent_of(iokaste,polyneikes),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
parent_of(oedipus,polyneikes),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
parent_of(polyneikes,thersandros),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
patricide(oedipus),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ patricide(thersandros),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,conjecture,
? [P,NP] :
( ~ patricide(NP)
& parent_of(P,NP)
& patricide(P)
& parent_of(iokaste,P) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ ? [P,NP] :
( ~ patricide(NP)
& parent_of(P,NP)
& patricide(P)
& parent_of(iokaste,P) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
parent_of(iokaste,oedipus),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f10,plain,
parent_of(iokaste,polyneikes),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f11,plain,
parent_of(oedipus,polyneikes),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
parent_of(polyneikes,thersandros),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
patricide(oedipus),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
~ patricide(thersandros),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [P,NP] :
( patricide(NP)
| ~ parent_of(P,NP)
| ~ patricide(P)
| ~ parent_of(iokaste,P) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f16,plain,
! [NP] :
( patricide(NP)
| ! [P] :
( ~ parent_of(P,NP)
| ~ patricide(P)
| ~ parent_of(iokaste,P) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( patricide(X1)
| ~ parent_of(X0,X1)
| ~ patricide(X0)
| ~ parent_of(iokaste,X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X0] :
( patricide(X0)
| ~ parent_of(oedipus,X0)
| ~ parent_of(iokaste,oedipus) ),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f19,plain,
! [X0] :
( patricide(X0)
| ~ parent_of(oedipus,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f18,f9]) ).
fof(f20,plain,
patricide(polyneikes),
inference(resolution,[status(thm)],[f11,f19]) ).
fof(f21,plain,
! [X0] :
( patricide(X0)
| ~ parent_of(polyneikes,X0)
| ~ parent_of(iokaste,polyneikes) ),
inference(resolution,[status(thm)],[f20,f17]) ).
fof(f22,plain,
! [X0] :
( patricide(X0)
| ~ parent_of(polyneikes,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f21,f10]) ).
fof(f23,plain,
patricide(thersandros),
inference(resolution,[status(thm)],[f12,f22]) ).
fof(f24,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f23,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 03:55:23 UTC 2026
% 0.01/0.36 % CPUTime :
% 0.01/0.37 % Drodi V4.1.1
% 0.01/0.39 % Refutation found
% 0.01/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.01/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.01/0.41 % Elapsed time: 0.045771 seconds
% 0.01/0.41 % CPU time: 0.134541 seconds
% 0.01/0.41 % Total memory used: 46.644 MB
% 0.01/0.41 % Net memory used: 46.203 MB
%------------------------------------------------------------------------------