%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:00:08 PM UTC 2026
% Result : Theorem 0.15s 5.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 2
% Syntax : Number of formulae : 59 ( 26 unt; 0 def)
% Number of atoms : 251 ( 70 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 311 ( 119 ~; 113 |; 79 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 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; 0-4 aty)
% Number of variables : 98 ( 69 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [A,B,C,D,E] :
( ~ ? [F] :
( 'Thersandros' = F
& patricide(F) )
& 'Oedipus' = E
& patricide(E)
& 'Polyneikes' = D
& relation(D,of,'Thersandros')
& parent(D)
& 'Oedipus' = C
& relation(C,of,'Polyneikes')
& parent(C)
& 'Iokaste' = B
& relation(B,of,'Polyneikes')
& parent(B)
& 'Iokaste' = A
& relation(A,of,'Oedipus')
& parent(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
? [A,B,C,D] :
( 'Iokaste' = A
& relation(A,of,B)
& B = C
& relation(C,of,D)
& ~ ? [E] :
( D = E
& patricide(E) )
& $true
& parent(C)
& patricide(B)
& parent(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ? [A,B,C,D] :
( 'Iokaste' = A
& relation(A,of,B)
& B = C
& relation(C,of,D)
& ~ ? [E] :
( D = E
& patricide(E) )
& $true
& parent(C)
& patricide(B)
& parent(A) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [A,B,C,D,E] :
( ! [F] :
( 'Thersandros' != F
| ~ patricide(F) )
& 'Oedipus' = E
& patricide(E)
& 'Polyneikes' = D
& relation(D,of,'Thersandros')
& parent(D)
& 'Oedipus' = C
& relation(C,of,'Polyneikes')
& parent(C)
& 'Iokaste' = B
& relation(B,of,'Polyneikes')
& parent(B)
& 'Iokaste' = A
& relation(A,of,'Oedipus')
& parent(A) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
( ! [F] :
( 'Thersandros' != F
| ~ patricide(F) )
& ? [E] :
( 'Oedipus' = E
& patricide(E)
& ? [D] :
( 'Polyneikes' = D
& relation(D,of,'Thersandros')
& parent(D)
& ? [C] :
( 'Oedipus' = C
& relation(C,of,'Polyneikes')
& parent(C)
& ? [B] :
( 'Iokaste' = B
& relation(B,of,'Polyneikes')
& parent(B)
& ? [A] :
( 'Iokaste' = A
& relation(A,of,'Oedipus')
& parent(A) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
( ! [F] :
( 'Thersandros' != F
| ~ patricide(F) )
& 'Oedipus' = sK0_skl
& patricide(sK0_skl)
& 'Polyneikes' = sK1_skl
& relation(sK1_skl,of,'Thersandros')
& parent(sK1_skl)
& 'Oedipus' = sK2_skl
& relation(sK2_skl,of,'Polyneikes')
& parent(sK2_skl)
& 'Iokaste' = sK3_skl
& relation(sK3_skl,of,'Polyneikes')
& parent(sK3_skl)
& 'Iokaste' = sK4_skl
& relation(sK4_skl,of,'Oedipus')
& parent(sK4_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl]),skolemize(E,sK0_skl),skolemize(D,sK1_skl),skolemize(C,sK2_skl),skolemize(B,sK3_skl),skolemize(A,sK4_skl)],[f5]) ).
fof(f8,plain,
! [Oedipus] : relation(sK4_skl,of,'Oedipus'),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [Iokaste] : 'Iokaste' = sK4_skl,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
parent(sK3_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f11,plain,
! [Polyneikes] : relation(sK3_skl,of,'Polyneikes'),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f12,plain,
! [Iokaste] : 'Iokaste' = sK3_skl,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
parent(sK2_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [Polyneikes] : relation(sK2_skl,of,'Polyneikes'),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [Oedipus] : 'Oedipus' = sK2_skl,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
parent(sK1_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [Thersandros] : relation(sK1_skl,of,'Thersandros'),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [Polyneikes] : 'Polyneikes' = sK1_skl,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
patricide(sK0_skl),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [Oedipus] : 'Oedipus' = sK0_skl,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f21,plain,
! [X0,Thersandros] :
( 'Thersandros' != X0
| ~ patricide(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [A,B,C,D] :
( 'Iokaste' != A
| ~ relation(A,of,B)
| B != C
| ~ relation(C,of,D)
| ? [E] :
( D = E
& patricide(E) )
| $false
| ~ parent(C)
| ~ patricide(B)
| ~ parent(A) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
! [A] :
( 'Iokaste' != A
| ! [B] :
( ~ relation(A,of,B)
| ! [C] :
( B != C
| ! [D] :
( ~ relation(C,of,D)
| ? [E] :
( D = E
& patricide(E) )
| $false
| ~ parent(C)
| ~ patricide(B)
| ~ parent(A) ) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f24,plain,
! [A] :
( 'Iokaste' != A
| ! [B] :
( ~ relation(A,of,B)
| ! [C] :
( B != C
| ! [D] :
( ~ relation(C,of,D)
| ( D = sK5_skl(D,C,B,A)
& patricide(sK5_skl(D,C,B,A)) )
| $false
| ~ parent(C)
| ~ patricide(B)
| ~ parent(A) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(E,sK5_skl(D,C,B,A))],[f23]) ).
fof(f25,plain,
! [A] :
( 'Iokaste' != A
| ! [B] :
( ~ relation(A,of,B)
| ! [C] :
( B != C
| ! [D] :
( ~ relation(C,of,D)
| ? [E] :
( D = sK5_skl(D,C,B,A)
& patricide(sK5_skl(D,C,B,A)) )
| ~ parent(C)
| ~ patricide(B)
| ~ parent(A) ) ) ) ),
inference(true_and_false_simplification,[status(thm)],[f24]) ).
fof(f26,plain,
! [X0,X1,X2,X3,Iokaste] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5_skl(X3,X2,X1,X0))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f27,plain,
! [X0,X1,X2,X3,Iokaste] :
( 'Iokaste' != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| X3 = sK5_skl(X3,X2,X1,X0)
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f28,plain,
sK3_skl = sK4_skl,
inference(backward_demodulation,[status(thm)],[f12,f9]) ).
fof(f29,plain,
relation(sK4_skl,of,sK2_skl),
inference(backward_demodulation,[status(thm)],[f15,f8]) ).
fof(f30,plain,
relation(sK2_skl,of,sK1_skl),
inference(backward_demodulation,[status(thm)],[f18,f14]) ).
fof(f31,plain,
relation(sK3_skl,of,sK1_skl),
inference(backward_demodulation,[status(thm)],[f18,f11]) ).
fof(f32,plain,
patricide(sK2_skl),
inference(backward_demodulation,[status(thm)],[f33,f19]) ).
fof(f33,plain,
sK2_skl = sK0_skl,
inference(forward_demodulation,[status(thm)],[f15,f20]) ).
fof(f34,plain,
! [Thersandros] : ~ patricide('Thersandros'),
inference(destructive_equality_resolution,[status(thm)],[f21]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( sK3_skl != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| patricide(sK5_skl(X3,X2,X1,X0))
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(forward_demodulation,[status(thm)],[f12,f26]) ).
fof(f36,plain,
! [X2,X3] :
( ~ relation(sK3_skl,of,X2)
| ~ relation(X2,of,X3)
| patricide(sK5_skl(X3,X2,X2,sK3_skl))
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK3_skl) ),
inference(destructive_equality_resolution,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ~ relation(sK3_skl,of,X0)
| ~ relation(X0,of,X1)
| patricide(sK5_skl(X1,X0,X0,sK3_skl))
| ~ parent(X0)
| ~ patricide(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f36,f10]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( sK3_skl != X0
| ~ relation(X0,of,X1)
| X1 != X2
| ~ relation(X2,of,X3)
| X3 = sK5_skl(X3,X2,X1,X0)
| ~ parent(X2)
| ~ patricide(X1)
| ~ parent(X0) ),
inference(forward_demodulation,[status(thm)],[f12,f27]) ).
fof(f39,plain,
! [X2,X3] :
( ~ relation(sK3_skl,of,X2)
| ~ relation(X2,of,X3)
| X3 = sK5_skl(X3,X2,X2,sK3_skl)
| ~ parent(X2)
| ~ patricide(X2)
| ~ parent(sK3_skl) ),
inference(destructive_equality_resolution,[status(thm)],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ~ relation(sK3_skl,of,X0)
| ~ relation(X0,of,X1)
| X1 = sK5_skl(X1,X0,X0,sK3_skl)
| ~ parent(X0)
| ~ patricide(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f39,f10]) ).
fof(f42,plain,
relation(sK3_skl,of,sK2_skl),
inference(forward_demodulation,[status(thm)],[f28,f29]) ).
fof(f43,plain,
! [X0] :
( ~ relation(sK2_skl,of,X0)
| X0 = sK5_skl(X0,sK2_skl,sK2_skl,sK3_skl)
| ~ parent(sK2_skl)
| ~ patricide(sK2_skl) ),
inference(resolution,[status(thm)],[f42,f40]) ).
fof(f44,plain,
! [X0] :
( ~ relation(sK2_skl,of,X0)
| X0 = sK5_skl(X0,sK2_skl,sK2_skl,sK3_skl)
| ~ parent(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f43,f32]) ).
fof(f45,plain,
! [X0] :
( ~ relation(sK1_skl,of,X0)
| X0 = sK5_skl(X0,sK1_skl,sK1_skl,sK3_skl)
| ~ parent(sK1_skl)
| ~ patricide(sK1_skl) ),
inference(resolution,[status(thm)],[f31,f40]) ).
fof(f46,plain,
! [X0] :
( ~ relation(sK1_skl,of,X0)
| X0 = sK5_skl(X0,sK1_skl,sK1_skl,sK3_skl)
| ~ patricide(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f45,f16]) ).
fof(f47,plain,
! [X0] :
( ~ relation(sK2_skl,of,X0)
| X0 = sK5_skl(X0,sK2_skl,sK2_skl,sK3_skl) ),
inference(resolution,[status(thm)],[f44,f13]) ).
fof(f48,plain,
sK1_skl = sK5_skl(sK1_skl,sK2_skl,sK2_skl,sK3_skl),
inference(resolution,[status(thm)],[f47,f30]) ).
fof(f49,plain,
( ~ relation(sK3_skl,of,sK2_skl)
| ~ relation(sK2_skl,of,sK1_skl)
| patricide(sK1_skl)
| ~ parent(sK2_skl)
| ~ patricide(sK2_skl) ),
inference(paramodulation,[status(thm)],[f48,f37]) ).
fof(f50,plain,
( ~ relation(sK3_skl,of,sK2_skl)
| ~ relation(sK2_skl,of,sK1_skl)
| patricide(sK1_skl)
| ~ parent(sK2_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f49,f32]) ).
fof(f51,plain,
( ~ relation(sK2_skl,of,sK1_skl)
| patricide(sK1_skl)
| ~ parent(sK2_skl) ),
inference(resolution,[status(thm)],[f50,f42]) ).
fof(f52,plain,
( ~ relation(sK2_skl,of,sK1_skl)
| patricide(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f13]) ).
fof(f53,plain,
patricide(sK1_skl),
inference(resolution,[status(thm)],[f52,f30]) ).
fof(f54,plain,
! [X0] :
( ~ relation(sK1_skl,of,X0)
| X0 = sK5_skl(X0,sK1_skl,sK1_skl,sK3_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f46,f53]) ).
fof(f55,plain,
! [Thersandros] : 'Thersandros' = sK5_skl('Thersandros',sK1_skl,sK1_skl,sK3_skl),
inference(resolution,[status(thm)],[f54,f17]) ).
fof(f56,plain,
! [Thersandros] :
( ~ relation(sK3_skl,of,sK1_skl)
| ~ relation(sK1_skl,of,'Thersandros')
| patricide('Thersandros')
| ~ parent(sK1_skl)
| ~ patricide(sK1_skl) ),
inference(paramodulation,[status(thm)],[f55,f37]) ).
fof(f57,plain,
! [Thersandros] :
( ~ relation(sK3_skl,of,sK1_skl)
| ~ relation(sK1_skl,of,'Thersandros')
| patricide('Thersandros')
| ~ parent(sK1_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f56,f53]) ).
fof(f58,plain,
! [Thersandros] :
( ~ relation(sK1_skl,of,'Thersandros')
| patricide('Thersandros')
| ~ parent(sK1_skl) ),
inference(resolution,[status(thm)],[f57,f31]) ).
fof(f59,plain,
! [Thersandros] :
( ~ relation(sK1_skl,of,'Thersandros')
| patricide('Thersandros') ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f16]) ).
fof(f60,plain,
! [Thersandros] : patricide('Thersandros'),
inference(resolution,[status(thm)],[f59,f17]) ).
fof(f61,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f60,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n026.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 21 03:55:28 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.43 % Elapsed time: 0.036566 seconds
% 0.15/5.43 % CPU time: 0.102470 seconds
% 0.15/5.43 % Total memory used: 27.209 MB
% 0.15/5.43 % Net memory used: 27.048 MB
%------------------------------------------------------------------------------