TSTP Solution File: SWB020+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 12:08:02 EDT 2023
% Result : Theorem 3.89s 1.97s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 24
% Syntax : Number of formulae : 34 ( 4 unt; 16 typ; 0 def)
% Number of atoms : 164 ( 0 equ; 0 cnn)
% Maximal formula atoms : 32 ( 9 avg)
% Number of connectives : 508 ( 8 ~; 10 |; 100 &; 354 @)
% ( 7 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 14 con; 0-3 aty)
% Number of variables : 68 ( 0 ^; 54 !; 14 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(iext_type,type,
iext: $i > $i > $i > $o ).
thf(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
thf(uri_ex_d_type,type,
uri_ex_d: $i ).
thf(uri_ex_c3_type,type,
uri_ex_c3: $i ).
thf(uri_owl_disjointWith_type,type,
uri_owl_disjointWith: $i ).
thf(ic_type,type,
ic: $i > $o ).
thf(uri_owl_complementOf_type,type,
uri_owl_complementOf: $i ).
thf(icext_type,type,
icext: $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_intersectionOf_type,type,
uri_owl_intersectionOf: $i ).
thf(uri_owl_unionOf_type,type,
uri_owl_unionOf: $i ).
thf(uri_ex_c_type,type,
uri_ex_c: $i ).
thf(uri_ex_c1_type,type,
uri_ex_c1: $i ).
thf(uri_ex_c2_type,type,
uri_ex_c2: $i ).
thf(1,conjecture,
iext @ uri_rdfs_subClassOf @ uri_ex_d @ uri_ex_c3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
thf(2,negated_conjecture,
~ ( iext @ uri_rdfs_subClassOf @ uri_ex_d @ uri_ex_c3 ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ( iext @ uri_rdfs_subClassOf @ uri_ex_d @ uri_ex_c3 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
<=> ~ ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
thf(14,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_complementOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( ( icext @ A @ C )
=> ~ ( icext @ B @ C ) )
& ( ~ ( icext @ B @ C )
=> ( icext @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_intersectionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( icext @ A @ F )
<=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
thf(21,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_intersectionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ! [F: $i] :
( ( ( icext @ A @ F )
=> ( ( icext @ C @ F )
& ( icext @ E @ F ) ) )
& ( ( ( icext @ C @ F )
& ( icext @ E @ F ) )
=> ( icext @ A @ F ) ) ) )
=> ( iext @ uri_owl_intersectionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_rdfs_subClassOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
thf(54,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_rdfs_subClassOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
( ( icext @ A @ C )
=> ( icext @ B @ C ) ) )
=> ( iext @ uri_rdfs_subClassOf @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( iext @ uri_owl_unionOf @ A @ B )
<=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( icext @ A @ H )
<=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
thf(35,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( ( iext @ uri_rdf_first @ B @ C )
& ( iext @ uri_rdf_rest @ B @ D )
& ( iext @ uri_rdf_first @ D @ E )
& ( iext @ uri_rdf_rest @ D @ F )
& ( iext @ uri_rdf_first @ F @ G )
& ( iext @ uri_rdf_rest @ F @ uri_rdf_nil ) )
=> ( ( ( iext @ uri_owl_unionOf @ A @ B )
=> ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) ) )
& ( ( ( ic @ A )
& ( ic @ C )
& ( ic @ E )
& ( ic @ G )
& ! [H: $i] :
( ( ( icext @ A @ H )
=> ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) ) )
& ( ( ( icext @ C @ H )
| ( icext @ E @ H )
| ( icext @ G @ H ) )
=> ( icext @ A @ H ) ) ) )
=> ( iext @ uri_owl_unionOf @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
<=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
thf(63,plain,
! [A: $i,B: $i] :
( ( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) ) )
& ( ( ( ic @ A )
& ( ic @ B )
& ! [C: $i] :
~ ( ( icext @ A @ C )
& ( icext @ B @ C ) ) )
=> ( iext @ uri_owl_disjointWith @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
thf(11,plain,
! [A: $i,B: $i] :
( ( iext @ uri_owl_disjointWith @ A @ B )
=> ( ( ic @ A )
& ( ic @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(9,axiom,
? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( iext @ uri_owl_unionOf @ uri_ex_c @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ D @ E )
& ( iext @ uri_rdf_first @ E @ uri_ex_c3 )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( iext @ uri_owl_disjointWith @ uri_ex_d @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_d @ A )
& ( iext @ uri_owl_intersectionOf @ A @ F )
& ( iext @ uri_rdf_first @ F @ uri_ex_c )
& ( iext @ uri_rdf_rest @ F @ G )
& ( iext @ uri_rdf_first @ G @ B )
& ( iext @ uri_rdf_rest @ G @ uri_rdf_nil )
& ( iext @ uri_owl_complementOf @ B @ uri_ex_c2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
thf(72,plain,
? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( iext @ uri_owl_unionOf @ uri_ex_c @ C )
& ( iext @ uri_rdf_first @ C @ uri_ex_c1 )
& ( iext @ uri_rdf_rest @ C @ D )
& ( iext @ uri_rdf_first @ D @ uri_ex_c2 )
& ( iext @ uri_rdf_rest @ D @ E )
& ( iext @ uri_rdf_first @ E @ uri_ex_c3 )
& ( iext @ uri_rdf_rest @ E @ uri_rdf_nil )
& ( iext @ uri_owl_disjointWith @ uri_ex_d @ uri_ex_c1 )
& ( iext @ uri_rdfs_subClassOf @ uri_ex_d @ A )
& ( iext @ uri_owl_intersectionOf @ A @ F )
& ( iext @ uri_rdf_first @ F @ uri_ex_c )
& ( iext @ uri_rdf_rest @ F @ G )
& ( iext @ uri_rdf_first @ G @ B )
& ( iext @ uri_rdf_rest @ G @ uri_rdf_nil )
& ( iext @ uri_owl_complementOf @ B @ uri_ex_c2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(91,plain,
$false,
inference(e,[status(thm)],[10,14,21,54,35,63,11,72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB020+2 : TPTP v8.1.2. Released v5.2.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.36 % CPULimit : 300
% 0.22/0.36 % WCLimit : 300
% 0.22/0.36 % DateTime : Thu May 18 20:49:51 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.95/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/0.98 % [INFO] Parsing done (126ms).
% 1.28/0.99 % [INFO] Running in sequential loop mode.
% 1.73/1.19 % [INFO] eprover registered as external prover.
% 1.73/1.19 % [INFO] cvc4 registered as external prover.
% 1.73/1.19 % [INFO] Scanning for conjecture ...
% 1.85/1.24 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.89/1.26 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.89/1.30 % [INFO] Problem is first-order (TPTP FOF).
% 1.89/1.31 % [INFO] Type checking passed.
% 1.89/1.31 % [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 ...
% 3.89/1.97 % External prover 'e' found a proof!
% 3.89/1.97 % [INFO] Killing All external provers ...
% 3.89/1.97 % Time passed: 1439ms (effective reasoning time: 977ms)
% 3.89/1.97 % 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)>
% 3.89/1.97 % Axioms used in derivation (7): owl_prop_disjointwith_ext, owl_bool_complementof_class, owl_bool_unionof_class_003, owl_rdfsext_subclassof, testcase_premise_fullish_020_Logical_Complications, owl_bool_intersectionof_class_002, owl_eqdis_disjointwith
% 3.89/1.97 % No. of inferences in proof: 18
% 3.89/1.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1439 ms resp. 977 ms w/o parsing
% 4.24/2.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.24/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------