%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n019.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 08:50:39 AM UTC 2026
% Result : Theorem 5.94s 3.60s
% Output : Refutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 0 equ; 0 cnn)
% Maximal formula atoms : 24 ( 6 avg)
% Number of connectives : 240 ( 5 ~; 0 |; 45 &; 172 @)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 31 ( 0 ^; 23 !; 8 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_decl,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_type_decl,type,
uri_rdf_type: $i ).
thf(uri_ex_w_decl,type,
uri_ex_w: $i ).
thf(uri_ex_B_decl,type,
uri_ex_B: $i ).
thf(icext_decl,type,
icext: $i > $i > $o ).
thf(uri_owl_complementOf_decl,type,
uri_owl_complementOf: $i ).
thf(ic_decl,type,
ic: $i > $o ).
thf(uri_rdf_first_decl,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_decl,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_decl,type,
uri_rdf_nil: $i ).
thf(uri_owl_intersectionOf_decl,type,
uri_owl_intersectionOf: $i ).
thf(uri_ex_A_decl,type,
uri_ex_A: $i ).
thf(uri_owl_Class_decl,type,
uri_owl_Class: $i ).
thf(6,axiom,
? [A: $i,B: $i,C: $i,D: $i] :
( ( uri_ex_A @ ( B @ ( uri_owl_complementOf @ iext ) ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_A @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( A @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_B @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_A @ ( uri_rdf_type @ iext ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
thf(37,plain,
? [A: $i,B: $i,C: $i,D: $i] :
( ( uri_ex_A @ ( B @ ( uri_owl_complementOf @ iext ) ) )
& ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( B @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( C @ ( uri_rdf_rest @ iext ) ) )
& ( uri_ex_A @ ( C @ ( uri_rdf_first @ iext ) ) )
& ( C @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
& ( A @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_B @ ( uri_rdf_type @ iext ) ) )
& ( uri_owl_Class @ ( uri_ex_A @ ( uri_rdf_type @ iext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( C @ ( A @ icext ) )
<=> ~ ( C @ ( B @ icext ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(14,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_owl_complementOf @ iext ) ) )
=> ( ! [C: $i] :
( ( ~ ( C @ ( B @ icext ) )
=> ( C @ ( A @ icext ) ) )
& ( ( C @ ( A @ icext ) )
=> ~ ( C @ ( B @ icext ) ) ) )
& ( B @ ic )
& ( A @ ic ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
<=> ( ! [F: $i] :
( ( F @ ( A @ icext ) )
<=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(22,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( uri_rdf_nil @ ( D @ ( uri_rdf_rest @ iext ) ) )
& ( E @ ( D @ ( uri_rdf_first @ iext ) ) )
& ( D @ ( B @ ( uri_rdf_rest @ iext ) ) )
& ( C @ ( B @ ( uri_rdf_first @ iext ) ) ) )
=> ( ( ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) )
=> ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_owl_intersectionOf @ iext ) ) )
=> ( ! [F: $i] :
( ( ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) )
=> ( F @ ( A @ icext ) ) )
& ( ( F @ ( A @ icext ) )
=> ( ( F @ ( E @ icext ) )
& ( F @ ( C @ icext ) ) ) ) )
& ( E @ ic )
& ( C @ ic )
& ( A @ ic ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
uri_ex_B @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_029_Ex_Falso_Quodlibet) ).
thf(2,negated_conjecture,
~ ( uri_ex_B @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(7,plain,
~ ( uri_ex_B @ ( uri_ex_w @ ( uri_rdf_type @ iext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
<=> ( A @ ( B @ icext ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
thf(8,plain,
! [A: $i,B: $i] :
( ( ( A @ ( B @ icext ) )
=> ( B @ ( A @ ( uri_rdf_type @ iext ) ) ) )
& ( ( B @ ( A @ ( uri_rdf_type @ iext ) ) )
=> ( A @ ( B @ icext ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(53,plain,
$false,
inference(e,[status(thm)],[37,14,22,7,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.11 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.22/0.48 % Computer : n019.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Sat Sep 26 11:52:33 UTC 2026
% 0.22/0.48 % CPUTime :
% 0.22/0.48 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.24/1.29 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.71/1.56 % [INFO] Parsing done (260ms).
% 1.71/1.58 % [INFO] Running in sequential loop mode.
% 2.72/2.16 % [INFO] eprover registered as external prover.
% 2.72/2.17 % [INFO] Scanning for conjecture ...
% 2.81/2.29 % [INFO] Found a conjecture (or negated_conjecture) and 4 axioms. Running axiom selection ...
% 2.96/2.33 % [INFO] Axiom selection finished. Selected 4 axioms (removed 0 axioms).
% 2.96/2.40 % [INFO] Problem is first-order (TPTP FOF).
% 3.17/2.40 % [INFO] Type checking passed.
% 3.17/2.41 % [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 ...
% 5.94/3.60 % External prover 'e' found a proof!
% 5.94/3.60 % [INFO] Killing All external provers ...
% 5.94/3.60 % Time passed: 2917ms (effective reasoning time: 2012ms)
% 5.94/3.60 % 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)>
% 5.94/3.60 % Axioms used in derivation (4): testcase_premise_fullish_029_Ex_Falso_Quodlibet, owl_bool_complementof_class, owl_bool_intersectionof_class_002, rdfs_cext_def
% 5.94/3.60 % No. of inferences in proof: 12
% 5.94/3.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2917 ms resp. 2012 ms w/o parsing
% 5.94/3.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.94/3.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------