%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ128+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 : 300s
% DateTime : Tue May 5 05:03:40 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 37 ( 24 unt; 0 def)
% Number of atoms : 128 ( 35 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 142 ( 51 ~; 44 |; 47 &)
% ( 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; 0-4 aty)
% Number of variables : 38 ( 0 sgn 5 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove,conjecture,
? [X1,X2,X3,X4] :
( parent(X1)
& patricide(X2)
& parent(X3)
& $true
& ~ ? [X5] :
( patricide(X5)
& X4 = X5 )
& relation(X3,of,X4)
& X2 = X3
& relation(X1,of,X2)
& 'Iokaste' = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
fof(background,axiom,
? [X1,X2,X3,X4,X5] :
( parent(X1)
& relation(X1,of,'Oedipus')
& 'Iokaste' = X1
& parent(X2)
& relation(X2,of,'Polyneikes')
& 'Iokaste' = X2
& parent(X3)
& relation(X3,of,'Polyneikes')
& 'Oedipus' = X3
& parent(X4)
& relation(X4,of,'Thersandros')
& 'Polyneikes' = X4
& patricide(X5)
& 'Oedipus' = X5
& ~ ? [X6] :
( patricide(X6)
& 'Thersandros' = X6 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
fof(c_0_2,negated_conjecture,
~ ? [X1,X2,X3,X4] :
( parent(X1)
& patricide(X2)
& parent(X3)
& ~ ? [X5] :
( patricide(X5)
& X4 = X5 )
& relation(X3,of,X4)
& X2 = X3
& relation(X1,of,X2)
& 'Iokaste' = X1 ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove])]) ).
fof(c_0_3,plain,
! [X23] :
( parent(esk1_0)
& relation(esk1_0,of,'Oedipus')
& 'Iokaste' = esk1_0
& parent(esk2_0)
& relation(esk2_0,of,'Polyneikes')
& 'Iokaste' = esk2_0
& parent(esk3_0)
& relation(esk3_0,of,'Polyneikes')
& 'Oedipus' = esk3_0
& parent(esk4_0)
& relation(esk4_0,of,'Thersandros')
& 'Polyneikes' = esk4_0
& patricide(esk5_0)
& 'Oedipus' = esk5_0
& ( ~ patricide(X23)
| 'Thersandros' != X23 ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[background])])])]) ).
fof(c_0_4,negated_conjecture,
! [X24,X25,X26,X27] :
( ( patricide(esk6_4(X24,X25,X26,X27))
| ~ parent(X24)
| ~ patricide(X25)
| ~ parent(X26)
| ~ relation(X26,of,X27)
| X25 != X26
| ~ relation(X24,of,X25)
| 'Iokaste' != X24 )
& ( X27 = esk6_4(X24,X25,X26,X27)
| ~ parent(X24)
| ~ patricide(X25)
| ~ parent(X26)
| ~ relation(X26,of,X27)
| X25 != X26
| ~ relation(X24,of,X25)
| 'Iokaste' != X24 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).
cnf(c_0_5,plain,
parent(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
'Iokaste' = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_7,negated_conjecture,
( patricide(esk6_4(X1,X2,X3,X4))
| ~ parent(X1)
| ~ patricide(X2)
| ~ parent(X3)
| ~ relation(X3,of,X4)
| X2 != X3
| ~ relation(X1,of,X2)
| 'Iokaste' != X1 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
parent('Iokaste'),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,negated_conjecture,
( X1 = esk6_4(X2,X3,X4,X1)
| ~ parent(X2)
| ~ patricide(X3)
| ~ parent(X4)
| ~ relation(X4,of,X1)
| X3 != X4
| ~ relation(X2,of,X3)
| 'Iokaste' != X2 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,negated_conjecture,
( patricide(esk6_4('Iokaste',X1,X1,X2))
| ~ patricide(X1)
| ~ relation('Iokaste',of,X1)
| ~ relation(X1,of,X2)
| ~ parent(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])]),c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
( esk6_4('Iokaste',X1,X1,X2) = X2
| ~ patricide(X1)
| ~ relation('Iokaste',of,X1)
| ~ relation(X1,of,X2)
| ~ parent(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])]),c_0_8])]) ).
cnf(c_0_12,plain,
relation(esk1_0,of,'Oedipus'),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_13,plain,
patricide(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,plain,
'Oedipus' = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,plain,
parent(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_16,plain,
'Oedipus' = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_17,negated_conjecture,
( patricide(X1)
| ~ patricide(X2)
| ~ relation('Iokaste',of,X2)
| ~ relation(X2,of,X1)
| ~ parent(X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_18,plain,
relation('Iokaste',of,'Oedipus'),
inference(rw,[status(thm)],[c_0_12,c_0_6]) ).
cnf(c_0_19,plain,
patricide('Oedipus'),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
parent('Oedipus'),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
relation(esk3_0,of,'Polyneikes'),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_22,plain,
relation(esk2_0,of,'Polyneikes'),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_23,plain,
'Iokaste' = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_24,plain,
parent(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_25,plain,
'Polyneikes' = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_26,negated_conjecture,
( patricide(X1)
| ~ relation('Oedipus',of,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_27,plain,
relation('Oedipus',of,'Polyneikes'),
inference(rw,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_28,plain,
relation('Iokaste',of,'Polyneikes'),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,plain,
parent('Polyneikes'),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
patricide('Polyneikes'),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
relation(esk4_0,of,'Thersandros'),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_32,plain,
( ~ patricide(X1)
| 'Thersandros' != X1 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_33,negated_conjecture,
( patricide(X1)
| ~ relation('Polyneikes',of,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_28]),c_0_29])]),c_0_30])]) ).
cnf(c_0_34,plain,
relation('Polyneikes',of,'Thersandros'),
inference(rw,[status(thm)],[c_0_31,c_0_25]) ).
cnf(c_0_35,plain,
~ patricide('Thersandros'),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ128+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:37:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.370s
%------------------------------------------------------------------------------