%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB015+2 : TPTP v9.3.1. Released v5.2.0.
% 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 : n010.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 08:50:33 AM UTC 2026
% Result : Theorem 4.90s 3.05s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 9 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 7 ~; 4 |; 3 &; 39 @)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 0 ^; 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_sameAs_decl,type,
uri_owl_sameAs: $i ).
thf(1,conjecture,
uri_owl_sameAs @ ( uri_owl_sameAs @ ( uri_owl_sameAs @ iext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_015_Reflective_Tautologies_I) ).
thf(2,negated_conjecture,
~ ( uri_owl_sameAs @ ( uri_owl_sameAs @ ( uri_owl_sameAs @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( uri_owl_sameAs @ ( uri_owl_sameAs @ ( uri_owl_sameAs @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
<=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
thf(5,plain,
! [A: $i,B: $i] :
( ( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,plain,
( ! [A: $i,B: $i] :
( ( A = B )
=> ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) )
& ! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
=> ( A = B ) ) ),
inference(miniscope,[status(thm)],[5]) ).
thf(7,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( C @ ( uri_owl_sameAs @ iext ) ) )
| ( C != D ) )
& ( ( A = B )
| ~ ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) ) ) ),
inference(cnf,[status(esa)],[6]) ).
thf(9,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
| ( A != B ) ),
inference(cnfConj,[status(thm)],[7]) ).
thf(11,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ ( uri_owl_sameAs @ iext ) ) )
| ( A != B ) ),
inference(lifteq,[status(thm)],[9]) ).
thf(12,plain,
! [A: $i] : ( A @ ( A @ ( uri_owl_sameAs @ iext ) ) ),
inference(simp,[status(thm)],[11]) ).
thf(13,plain,
~ $true,
inference(rewrite,[status(thm)],[4,12]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB015+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.12 % 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
% 0.24/0.50 % Computer : n010.cluster.edu
% 0.24/0.50 % Model : x86_64 x86_64
% 0.24/0.50 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.50 % Memory : 8046.5625MB
% 0.24/0.50 % OS : Linux 6.8.0-71-generic
% 0.24/0.50 % CPULimit : 300
% 0.24/0.50 % WCLimit : 300
% 0.24/0.50 % DateTime : Sat Sep 26 11:45:31 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 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
% 1.42/1.34 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.77/1.58 % [INFO] Parsing done (242ms).
% 1.98/1.60 % [INFO] Running in sequential loop mode.
% 2.86/2.22 % [INFO] eprover registered as external prover.
% 2.86/2.23 % [INFO] Scanning for conjecture ...
% 3.05/2.33 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 3.05/2.38 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 3.05/2.40 % [INFO] Problem is first-order (TPTP FOF).
% 3.22/2.40 % [INFO] Type checking passed.
% 3.22/2.41 % [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 ...
% 4.38/3.04 % [INFO] Killing All external provers ...
% 4.38/3.05 % Time passed: 2336ms (effective reasoning time: 1433ms)
% 4.38/3.05 % 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)>
% 4.38/3.05 % Axioms used in derivation (1): owl_eqdis_sameas
% 4.90/3.05 % No. of inferences in proof: 12
% 4.90/3.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2336 ms resp. 1433 ms w/o parsing
% 4.90/3.11 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.90/3.11 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------