%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 6.59s 1.73s
% Output : CNFRefutation 6.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 53 ( 29 unt; 0 def)
% Number of atoms : 155 ( 38 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 177 ( 75 ~; 69 |; 33 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 51 ( 0 sgn 0 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(background,axiom,
? [X0,X1,X2,X3,X4] :
( ~ ? [X5] :
( '\'Thersandros\'' = X5
& patricide(X5) )
& '\'Oedipus\'' = X4
& patricide(X4)
& '\'Polyneikes\'' = X3
& relation(X3,of,'\'Thersandros\'')
& parent(X3)
& '\'Oedipus\'' = X2
& relation(X2,of,'\'Polyneikes\'')
& parent(X2)
& '\'Iokaste\'' = X1
& relation(X1,of,'\'Polyneikes\'')
& parent(X1)
& '\'Iokaste\'' = X0
& relation(X0,of,'\'Oedipus\'')
& parent(X0) ) ).
fof(prove,conjecture,
? [X0,X1,X2,X3] :
( '\'Iokaste\'' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( '\'Iokaste\'' = X0
& relation(X0,of,X1)
& X1 = X2
& relation(X2,of,X3)
& ~ ? [X4] :
( X3 = X4
& patricide(X4) )
& $true
& parent(X2)
& patricide(X1)
& parent(X0) ),
inference(negate_conjecture,[status(cth)],[prove]) ).
cnf(c0,plain,
parent(sK0),
inference(clausification,[status(esa)],[background]) ).
cnf(c1,plain,
relation(sK0,of,'\'Oedipus\''),
inference(clausification,[status(esa)],[background]) ).
cnf(c2,plain,
'\'Iokaste\'' = sK0,
inference(clausification,[status(esa)],[background]) ).
cnf(c4,plain,
relation(sK1,of,'\'Polyneikes\''),
inference(clausification,[status(esa)],[background]) ).
cnf(c5,plain,
'\'Iokaste\'' = sK1,
inference(clausification,[status(esa)],[background]) ).
cnf(c6,plain,
parent(sK2),
inference(clausification,[status(esa)],[background]) ).
cnf(c7,plain,
relation(sK2,of,'\'Polyneikes\''),
inference(clausification,[status(esa)],[background]) ).
cnf(c8,plain,
'\'Oedipus\'' = sK2,
inference(clausification,[status(esa)],[background]) ).
cnf(c9,plain,
parent(sK3),
inference(clausification,[status(esa)],[background]) ).
cnf(c10,plain,
relation(sK3,of,'\'Thersandros\''),
inference(clausification,[status(esa)],[background]) ).
cnf(c11,plain,
'\'Polyneikes\'' = sK3,
inference(clausification,[status(esa)],[background]) ).
cnf(c12,plain,
patricide(sK4),
inference(clausification,[status(esa)],[background]) ).
cnf(c13,plain,
'\'Oedipus\'' = sK4,
inference(clausification,[status(esa)],[background]) ).
cnf(c14,plain,
( '\'Thersandros\'' != X0
| ~ patricide(X0) ),
inference(clausification,[status(esa)],[background]) ).
cnf(c15,plain,
( ~ relation(X1,of,X2)
| patricide(sK10(X3))
| ~ parent(X1)
| X2 != X0
| ~ relation(X0,of,X3)
| ~ patricide(X2)
| '\'Iokaste\'' != X1
| ~ parent(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
( ~ parent(X1)
| ~ relation(X1,of,X2)
| X2 != X0
| ~ relation(X0,of,X3)
| X3 = sK10(X3)
| ~ patricide(X2)
| '\'Iokaste\'' != X1
| ~ parent(X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
relation('\'Polyneikes\'',of,'\'Thersandros\''),
inference(demodulation,[status(thm)],[c10,c11]) ).
cnf(d1,plain,
relation('\'Iokaste\'',of,'\'Polyneikes\''),
inference(demodulation,[status(thm)],[c4,c5]) ).
cnf(d2,plain,
( ~ patricide(X1)
| ~ relation('\'Iokaste\'',of,X1)
| ~ relation(X2,of,X0)
| ~ parent('\'Iokaste\'')
| ~ parent(X2)
| X1 != X2
| X0 = sK10(X0) ),
inference(equality_resolution,[status(thm)],[c16]) ).
cnf(d3,plain,
parent('\'Iokaste\''),
inference(demodulation,[status(thm)],[c0,c2]) ).
cnf(d4,plain,
( ~ patricide(X0)
| ~ relation('\'Iokaste\'',of,X0)
| ~ relation(X1,of,X2)
| ~ parent(X1)
| X2 = sK10(X2)
| X0 != X1 ),
inference(resolution,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ patricide(X1)
| ~ relation('\'Iokaste\'',of,X1)
| ~ relation(X1,of,X0)
| ~ parent(X1)
| X0 = sK10(X0) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
( ~ patricide('\'Polyneikes\'')
| ~ relation('\'Polyneikes\'',of,X0)
| ~ parent('\'Polyneikes\'')
| X0 = sK10(X0) ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
parent('\'Polyneikes\''),
inference(demodulation,[status(thm)],[c9,c11]) ).
cnf(d8,plain,
( ~ patricide('\'Polyneikes\'')
| ~ relation('\'Polyneikes\'',of,X0)
| X0 = sK10(X0) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( ~ patricide('\'Polyneikes\'')
| '\'Thersandros\'' = sK10('\'Thersandros\'') ),
inference(resolution,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
relation('\'Oedipus\'',of,'\'Polyneikes\''),
inference(demodulation,[status(thm)],[c7,c8]) ).
cnf(d11,plain,
relation('\'Iokaste\'',of,'\'Oedipus\''),
inference(demodulation,[status(thm)],[c1,c2]) ).
cnf(d12,plain,
( ~ patricide('\'Oedipus\'')
| ~ relation('\'Oedipus\'',of,X0)
| ~ parent('\'Oedipus\'')
| X0 = sK10(X0) ),
inference(resolution,[status(thm)],[d5,d11]) ).
cnf(d13,plain,
parent('\'Oedipus\''),
inference(demodulation,[status(thm)],[c6,c8]) ).
cnf(d14,plain,
( ~ patricide('\'Oedipus\'')
| ~ relation('\'Oedipus\'',of,X0)
| X0 = sK10(X0) ),
inference(resolution,[status(thm)],[d13,d12]) ).
cnf(d15,plain,
patricide('\'Oedipus\''),
inference(demodulation,[status(thm)],[c12,c13]) ).
cnf(d16,plain,
( ~ relation('\'Oedipus\'',of,X0)
| X0 = sK10(X0) ),
inference(resolution,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
'\'Polyneikes\'' = sK10('\'Polyneikes\''),
inference(resolution,[status(thm)],[d16,d10]) ).
cnf(d18,plain,
( patricide(sK10(X2))
| ~ patricide(X0)
| ~ relation('\'Iokaste\'',of,X0)
| ~ relation(X1,of,X2)
| ~ parent('\'Iokaste\'')
| ~ parent(X1)
| X0 != X1 ),
inference(equality_resolution,[status(thm)],[c15]) ).
cnf(d19,plain,
( patricide(sK10(X2))
| ~ patricide(X0)
| ~ relation('\'Iokaste\'',of,X0)
| ~ relation(X1,of,X2)
| ~ parent(X1)
| X0 != X1 ),
inference(resolution,[status(thm)],[d3,d18]) ).
cnf(d20,plain,
( patricide(sK10(X1))
| ~ patricide(X0)
| ~ relation('\'Iokaste\'',of,X0)
| ~ relation(X0,of,X1)
| ~ parent(X0) ),
inference(equality_resolution,[status(thm)],[d19]) ).
cnf(d21,plain,
( patricide(sK10(X0))
| ~ patricide('\'Oedipus\'')
| ~ relation('\'Oedipus\'',of,X0)
| ~ parent('\'Oedipus\'') ),
inference(resolution,[status(thm)],[d11,d20]) ).
cnf(d22,plain,
( patricide(sK10(X0))
| ~ patricide('\'Oedipus\'')
| ~ relation('\'Oedipus\'',of,X0) ),
inference(resolution,[status(thm)],[d13,d21]) ).
cnf(d23,plain,
( patricide(sK10(X0))
| ~ relation('\'Oedipus\'',of,X0) ),
inference(resolution,[status(thm)],[d15,d22]) ).
cnf(d24,plain,
patricide(sK10('\'Polyneikes\'')),
inference(resolution,[status(thm)],[d10,d23]) ).
cnf(d25,plain,
patricide('\'Polyneikes\''),
inference(demodulation,[status(thm)],[d24,d17]) ).
cnf(d26,plain,
'\'Thersandros\'' = sK10('\'Thersandros\''),
inference(resolution,[status(thm)],[d25,d9]) ).
cnf(d27,plain,
( patricide(sK10(X0))
| ~ patricide('\'Polyneikes\'')
| ~ relation('\'Polyneikes\'',of,X0)
| ~ parent('\'Polyneikes\'') ),
inference(resolution,[status(thm)],[d1,d20]) ).
cnf(d28,plain,
( patricide(sK10(X0))
| ~ patricide('\'Polyneikes\'')
| ~ relation('\'Polyneikes\'',of,X0) ),
inference(resolution,[status(thm)],[d7,d27]) ).
cnf(d29,plain,
( patricide(sK10('\'Thersandros\''))
| ~ patricide('\'Polyneikes\'') ),
inference(resolution,[status(thm)],[d0,d28]) ).
cnf(d30,plain,
patricide(sK10('\'Thersandros\'')),
inference(resolution,[status(thm)],[d25,d29]) ).
cnf(d31,plain,
patricide('\'Thersandros\''),
inference(demodulation,[status(thm)],[d30,d26]) ).
cnf(d32,plain,
~ patricide('\'Thersandros\''),
inference(equality_resolution,[status(thm)],[c14]) ).
cnf(d33,plain,
$false,
inference(resolution,[status(thm)],[d32,d31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:17:55 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.59/1.73 % SZS status Theorem for theBenchmark.p
% 6.59/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------