%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n015.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 08:21:24 AM UTC 2026
% Result : Theorem 3.25s 2.34s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 21 equ; 0 cnn)
% Maximal formula atoms : 16 ( 10 avg)
% Number of connectives : 129 ( 7 ~; 0 |; 56 &; 66 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 16 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 27 ( 0 ^; 0 !; 27 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(parent_decl,type,
parent: $i > $o ).
thf(patricide_decl,type,
patricide: $i > $o ).
thf(relation_decl,type,
relation: $i > $i > $i > $o ).
thf(of_decl,type,
of: $i ).
thf('Iokaste_decl',type,
'Iokaste': $i ).
thf('Oedipus_decl',type,
'Oedipus': $i ).
thf('Polyneikes_decl',type,
'Polyneikes': $i ).
thf('Thersandros_decl',type,
'Thersandros': $i ).
thf(1,conjecture,
? [A: $i,B: $i,C: $i,D: $i] :
( ( 'Iokaste' = A )
& ( B @ ( of @ ( A @ relation ) ) )
& ( B = C )
& ( D @ ( of @ ( C @ relation ) ) )
& ~ ? [E: $i] :
( ( D = E )
& ( E @ patricide ) )
& $true
& ( C @ parent )
& ( B @ patricide )
& ( A @ parent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( 'Iokaste' = A )
& ( B @ ( of @ ( A @ relation ) ) )
& ( B = C )
& ( D @ ( of @ ( C @ relation ) ) )
& ~ ? [E: $i] :
( ( D = E )
& ( E @ patricide ) )
& $true
& ( C @ parent )
& ( B @ patricide )
& ( A @ parent ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i,B: $i,C: $i,D: $i] :
( ( 'Iokaste' = A )
& ( B @ ( of @ ( A @ relation ) ) )
& ( B = C )
& ( D @ ( of @ ( C @ relation ) ) )
& ~ ? [E: $i] :
( ( D = E )
& ( E @ patricide ) )
& ( C @ parent )
& ( B @ patricide )
& ( A @ parent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ? [F: $i] :
( ( 'Thersandros' = F )
& ( F @ patricide ) )
& ( 'Oedipus' = E )
& ( E @ patricide )
& ( 'Polyneikes' = D )
& ( 'Thersandros' @ ( of @ ( D @ relation ) ) )
& ( D @ parent )
& ( 'Oedipus' = C )
& ( 'Polyneikes' @ ( of @ ( C @ relation ) ) )
& ( C @ parent )
& ( 'Iokaste' = B )
& ( 'Polyneikes' @ ( of @ ( B @ relation ) ) )
& ( B @ parent )
& ( 'Iokaste' = A )
& ( 'Oedipus' @ ( of @ ( A @ relation ) ) )
& ( A @ parent ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
thf(13,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ~ ? [F: $i] :
( ( 'Thersandros' = F )
& ( F @ patricide ) )
& ( 'Oedipus' = E )
& ( E @ patricide )
& ( 'Polyneikes' = D )
& ( 'Thersandros' @ ( of @ ( D @ relation ) ) )
& ( D @ parent )
& ( 'Oedipus' = C )
& ( 'Polyneikes' @ ( of @ ( C @ relation ) ) )
& ( C @ parent )
& ( 'Iokaste' = B )
& ( 'Polyneikes' @ ( of @ ( B @ relation ) ) )
& ( B @ parent )
& ( 'Iokaste' = A )
& ( 'Oedipus' @ ( of @ ( A @ relation ) ) )
& ( A @ parent ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(38,plain,
$false,
inference(e,[status(thm)],[4,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ128+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41 % Computer : n015.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 05:21:28 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.83/1.00 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.17 % [INFO] Parsing done (171ms).
% 1.19/1.18 % [INFO] Running in sequential loop mode.
% 1.69/1.58 % [INFO] eprover registered as external prover.
% 1.69/1.59 % [INFO] Scanning for conjecture ...
% 1.89/1.69 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 2.04/1.73 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.04/1.75 % [INFO] Problem is first-order (TPTP FOF).
% 2.04/1.76 % [INFO] Type checking passed.
% 2.04/1.76 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 3.25/2.34 % External prover 'e' found a proof!
% 3.25/2.34 % [INFO] Killing All external provers ...
% 3.25/2.34 % Time passed: 1780ms (effective reasoning time: 1152ms)
% 3.25/2.34 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 3.25/2.34 % Axioms used in derivation (1): background
% 3.25/2.34 % No. of inferences in proof: 6
% 3.25/2.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1780 ms resp. 1152 ms w/o parsing
% 3.25/2.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.25/2.38 % [INFO] Killing All external provers ...
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