TSTP Solution File: SWB031+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 : Fri May 19 12:08:09 EDT 2023
% Result : Unsatisfiable 3.09s 1.73s
% Output : Refutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 25 ( 5 unt; 12 typ; 0 def)
% Number of atoms : 58 ( 5 equ; 0 cnn)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 155 ( 2 ~; 0 |; 24 &; 108 @)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 26 ( 0 ^; 22 !; 4 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(ir_type,type,
ir: $i > $o ).
thf(icext_type,type,
icext: $i > $i > $o ).
thf(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
thf(uri_owl_Nothing_type,type,
uri_owl_Nothing: $i ).
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdf_first_type,type,
uri_rdf_first: $i ).
thf(uri_rdf_rest_type,type,
uri_rdf_rest: $i ).
thf(uri_rdf_nil_type,type,
uri_rdf_nil: $i ).
thf(uri_owl_oneOf_type,type,
uri_owl_oneOf: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_owl_equivalentClass_type,type,
uri_owl_equivalentClass: $i ).
thf(uri_ex_w_type,type,
uri_ex_w: $i ).
thf(3,axiom,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
thf(14,plain,
! [A: $i] :
~ ( icext @ uri_owl_Nothing @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,axiom,
! [A: $i] :
( ( icext @ uri_owl_Thing @ A )
<=> ( ir @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
thf(9,plain,
! [A: $i] :
( ( ( icext @ uri_owl_Thing @ A )
=> ( ir @ A ) )
& ( ( ir @ A )
=> ( icext @ uri_owl_Thing @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1,axiom,
! [A: $i] : ( ir @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
thf(7,plain,
! [A: $i] : ( ir @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
? [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ A )
& ( iext @ uri_owl_oneOf @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_ex_w )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
thf(47,plain,
? [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ uri_owl_Thing @ A )
& ( iext @ uri_owl_oneOf @ A @ B )
& ( iext @ uri_rdf_first @ B @ uri_ex_w )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_equivalentClass @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
thf(32,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_equivalentClass @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ( icext @ B @ C ) )
& ( ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) )
=> ( iext @ uri_owl_equivalentClass @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_oneOf @ A @ B )
<=> ( ( ic @ A )
& ! [D: $i] :
( ( icext @ A @ D )
<=> ( D = C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
thf(17,plain,
! [A: $i,B: $i,C: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_oneOf @ A @ B )
=> ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) ) )
& ( ( ( ic @ A )
& ! [D: $i] :
( ( ( icext @ A @ D )
=> ( D = C ) )
& ( ( D = C )
=> ( icext @ A @ D ) ) ) )
=> ( iext @ uri_owl_oneOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(53,plain,
$false,
inference(e,[status(thm)],[14,9,7,47,32,17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.14 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 20:56:34 EDT 2023
% 0.14/0.35 % CPUTime :
% 1.00/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/0.99 % [INFO] Parsing done (122ms).
% 1.21/1.00 % [INFO] Running in sequential loop mode.
% 1.66/1.20 % [INFO] eprover registered as external prover.
% 1.66/1.20 % [INFO] cvc4 registered as external prover.
% 1.66/1.21 % [INFO] Scanning for conjecture ...
% 1.77/1.23 % [INFO] 6 axioms and no conjecture found.
% 1.81/1.27 % [INFO] Problem is first-order (TPTP FOF).
% 1.81/1.27 % [INFO] Type checking passed.
% 1.81/1.28 % [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 ...
% 3.09/1.73 % External prover 'e' found a proof!
% 3.09/1.73 % [INFO] Killing All external provers ...
% 3.09/1.73 % Time passed: 1221ms (effective reasoning time: 725ms)
% 3.09/1.73 % Axioms used in derivation (6): testcase_premise_fullish_031_Large_Universe, simple_ir, owl_class_nothing_ext, owl_class_thing_ext, owl_enum_class_001, owl_eqdis_equivalentclass
% 3.09/1.73 % No. of inferences in proof: 13
% 3.09/1.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1221 ms resp. 725 ms w/o parsing
% 3.09/1.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.09/1.77 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------