TSTP Solution File: SWB017+2 by Leo-III---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 7 08:13:25 EDT 2024
% Result : Theorem 2.90s 1.77s
% Output : Refutation 3.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of formulae : 19 ( 4 unt; 9 typ; 0 def)
% Number of atoms : 31 ( 3 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 98 ( 8 ~; 0 |; 15 &; 69 @)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_owl_differentFrom_type,type,
uri_owl_differentFrom: $i ).
thf(uri_ex_w_type,type,
uri_ex_w: $i ).
thf(uri_ex_u_type,type,
uri_ex_u: $i ).
thf(uri_owl_propertyDisjointWith_type,type,
uri_owl_propertyDisjointWith: $i ).
thf(ip_type,type,
ip: $i > $o ).
thf(uri_ex_notInstanceOf_type,type,
uri_ex_notInstanceOf: $i ).
thf(uri_rdf_type_type,type,
uri_rdf_type: $i ).
thf(uri_ex_c_type,type,
uri_ex_c: $i ).
thf(1,conjecture,
iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_017_Built_in_Based_Definitions) ).
thf(2,negated_conjecture,
~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ( iext @ uri_owl_differentFrom @ uri_ex_w @ uri_ex_u ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_differentFrom @ A @ B )
<=> ( A != B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
thf(7,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_differentFrom @ A @ B )
=> ( A != B ) )
& ( ( A != B )
=> ( iext @ uri_owl_differentFrom @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
<=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
thf(15,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_propertyDisjointWith @ A @ B )
=> ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) ) )
& ( ( ( ip @ A )
& ( ip @ B )
& ! [C: $i,D: $i] :
~ ( ( iext @ A @ C @ D )
& ( iext @ B @ C @ D ) ) )
=> ( iext @ uri_owl_propertyDisjointWith @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
& ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_017_Built_in_Based_Definitions) ).
thf(24,plain,
( ( iext @ uri_owl_propertyDisjointWith @ uri_ex_notInstanceOf @ uri_rdf_type )
& ( iext @ uri_rdf_type @ uri_ex_w @ uri_ex_c )
& ( iext @ uri_ex_notInstanceOf @ uri_ex_u @ uri_ex_c ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[6,7,15,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB017+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 6 14:10:09 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.90/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.97 % [INFO] Parsing done (114ms).
% 1.19/0.98 % [INFO] Running in sequential loop mode.
% 1.73/1.23 % [INFO] eprover registered as external prover.
% 1.77/1.24 % [INFO] cvc4 registered as external prover.
% 1.77/1.25 % [INFO] Scanning for conjecture ...
% 1.77/1.30 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 1.95/1.33 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 1.95/1.35 % [INFO] Problem is first-order (TPTP FOF).
% 1.95/1.35 % [INFO] Type checking passed.
% 1.95/1.35 % [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 ...
% 2.90/1.77 % External prover 'e' found a proof!
% 2.90/1.77 % [INFO] Killing All external provers ...
% 2.90/1.77 % Time passed: 1270ms (effective reasoning time: 791ms)
% 2.90/1.77 % 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)>
% 2.90/1.77 % Axioms used in derivation (3): owl_eqdis_differentfrom, owl_eqdis_propertydisjointwith, testcase_premise_fullish_017_Built_in_Based_Definitions
% 2.90/1.77 % No. of inferences in proof: 10
% 2.90/1.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1270 ms resp. 791 ms w/o parsing
% 3.23/1.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.23/1.80 % [INFO] Killing All external provers ...
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