%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Sun Sep 27 08:22:18 AM UTC 2026
% Result : Theorem 9.88s 2.69s
% Output : CNFRefutation 9.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 9 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 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 : 8 ( 0 sgn 0 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(iokaste_oedipus,axiom,
'parent$uof'(iokaste,oedipus) ).
fof(iokaste_polyneikes,axiom,
'parent$uof'(iokaste,polyneikes) ).
fof(oedipus_polyneikes,axiom,
'parent$uof'(oedipus,polyneikes) ).
fof(polyneikes_thersandros,axiom,
'parent$uof'(polyneikes,thersandros) ).
fof(oedipus_patricidal,axiom,
patricide(oedipus) ).
fof(thersandros_not_patricidal,axiom,
~ patricide(thersandros) ).
fof(iokaste_parent_particide_parent_not_patricide,conjecture,
? [X0,X1] :
( ~ patricide(X1)
& 'parent$uof'(X0,X1)
& patricide(X0)
& 'parent$uof'(iokaste,X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1] :
( ~ patricide(X1)
& 'parent$uof'(X0,X1)
& patricide(X0)
& 'parent$uof'(iokaste,X0) ),
inference(negate_conjecture,[status(cth)],[iokaste_parent_particide_parent_not_patricide]) ).
cnf(c0,plain,
'parent$uof'(iokaste,oedipus),
inference(clausification,[status(esa)],[iokaste_oedipus]) ).
cnf(c1,plain,
'parent$uof'(iokaste,polyneikes),
inference(clausification,[status(esa)],[iokaste_polyneikes]) ).
cnf(c2,plain,
'parent$uof'(oedipus,polyneikes),
inference(clausification,[status(esa)],[oedipus_polyneikes]) ).
cnf(c3,plain,
'parent$uof'(polyneikes,thersandros),
inference(clausification,[status(esa)],[polyneikes_thersandros]) ).
cnf(c4,plain,
patricide(oedipus),
inference(clausification,[status(esa)],[oedipus_patricidal]) ).
cnf(c5,plain,
~ patricide(thersandros),
inference(clausification,[status(esa)],[thersandros_not_patricidal]) ).
cnf(c6,plain,
( patricide(X1)
| ~ 'parent$uof'(X0,X1)
| ~ patricide(X0)
| ~ 'parent$uof'(iokaste,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ patricide(polyneikes)
| patricide(X0)
| ~ 'parent$uof'(polyneikes,X0) ),
inference(resolution,[status(thm)],[c1,c6]) ).
cnf(d1,plain,
( ~ patricide(polyneikes)
| patricide(thersandros) ),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( ~ patricide(oedipus)
| patricide(X0)
| ~ 'parent$uof'(oedipus,X0) ),
inference(resolution,[status(thm)],[c0,c6]) ).
cnf(d3,plain,
( ~ patricide(oedipus)
| patricide(polyneikes) ),
inference(resolution,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
patricide(polyneikes),
inference(resolution,[status(thm)],[c4,d3]) ).
cnf(d5,plain,
patricide(thersandros),
inference(resolution,[status(thm)],[d4,d1]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c5,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ128+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n013.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 05:17:36 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.88/2.69 % SZS status Theorem for theBenchmark.p
% 9.88/2.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------