TSTP Solution File: SWB030+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 Sep 20 08:32:01 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 19:58:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.46 % SZS status Unsatisfiable
% 0.19/0.46 % SZS output start Proof
% 0.19/0.46 tff(icext_type, type, (
% 0.19/0.46 icext: ( $i * $i ) > $o)).
% 0.19/0.46 tff(uri_ex_c_type, type, (
% 0.19/0.46 uri_ex_c: $i)).
% 0.19/0.46 tff(tptp_fun_BNODE_x_0_type, type, (
% 0.19/0.46 tptp_fun_BNODE_x_0: $i)).
% 0.19/0.46 tff(ic_type, type, (
% 0.19/0.46 ic: $i > $o)).
% 0.19/0.46 tff(iext_type, type, (
% 0.19/0.46 iext: ( $i * $i * $i ) > $o)).
% 0.19/0.46 tff(uri_owl_complementOf_type, type, (
% 0.19/0.46 uri_owl_complementOf: $i)).
% 0.19/0.46 tff(literal_typed_type, type, (
% 0.19/0.46 literal_typed: ( $i * $i ) > $i)).
% 0.19/0.46 tff(uri_xsd_boolean_type, type, (
% 0.19/0.46 uri_xsd_boolean: $i)).
% 0.19/0.46 tff(dat_str_true_type, type, (
% 0.19/0.46 dat_str_true: $i)).
% 0.19/0.46 tff(uri_owl_hasSelf_type, type, (
% 0.19/0.46 uri_owl_hasSelf: $i)).
% 0.19/0.46 tff(uri_rdf_type_type, type, (
% 0.19/0.46 uri_rdf_type: $i)).
% 0.19/0.46 tff(uri_owl_onProperty_type, type, (
% 0.19/0.46 uri_owl_onProperty: $i)).
% 0.19/0.46 tff(uri_owl_Restriction_type, type, (
% 0.19/0.46 uri_owl_Restriction: $i)).
% 0.19/0.46 tff(uri_owl_Class_type, type, (
% 0.19/0.46 uri_owl_Class: $i)).
% 0.19/0.46 tff(1,assumption,(~icext(uri_ex_c, uri_ex_c)), introduced(assumption)).
% 0.19/0.46 tff(2,plain,
% 0.19/0.46 (?[BNODE_x: $i] : (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))) <=> ?[BNODE_x: $i] : (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))),
% 0.19/0.46 inference(rewrite,[status(thm)],[])).
% 0.19/0.46 tff(3,plain,
% 0.19/0.46 (^[BNODE_x: $i] : trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) <=> (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction))), ((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) <=> ((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)))), rewrite(((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) <=> (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type))), ((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) <=> (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)))), (((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))) <=> ((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))))), rewrite(((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))) <=> (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))), (((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))) <=> (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(4,plain,
% 0.19/0.47 (?[BNODE_x: $i] : ((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean))) <=> ?[BNODE_x: $i] : (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[3])).
% 0.19/0.47 tff(5,axiom,(?[BNODE_x: $i] : ((((iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x)) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type)) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_premise_fullish_030_Bad_Class')).
% 0.19/0.47 tff(6,plain,
% 0.19/0.47 (?[BNODE_x: $i] : (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[5, 4])).
% 0.19/0.47 tff(7,plain,
% 0.19/0.47 (?[BNODE_x: $i] : (iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x, literal_typed(dat_str_true, uri_xsd_boolean)))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.47 tff(8,plain,(
% 0.19/0.47 iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0) & iext(uri_rdf_type, BNODE_x!0, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type) & iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))),
% 0.19/0.47 inference(skolemize,[status(sab)],[7])).
% 0.19/0.47 tff(9,plain,
% 0.19/0.47 (iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0)),
% 0.19/0.47 inference(and_elim,[status(thm)],[8])).
% 0.19/0.47 tff(10,plain,
% 0.19/0.47 (^[Z: $i, C: $i] : refl(((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))) <=> ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(11,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.47 tff(12,plain,
% 0.19/0.47 (^[Z: $i, C: $i] : rewrite(((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))) <=> ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(13,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[12])).
% 0.19/0.47 tff(14,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(transitivity,[status(thm)],[13, 11])).
% 0.19/0.47 tff(15,plain,
% 0.19/0.47 (^[Z: $i, C: $i] : rewrite(((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(16,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[15])).
% 0.19/0.47 tff(17,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(18,plain,
% 0.19/0.47 (^[Z: $i, C: $i] : trans(monotonicity(rewrite(((ic(Z) & ic(C)) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))) <=> (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))), ((iext(uri_owl_complementOf, Z, C) => ((ic(Z) & ic(C)) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> (iext(uri_owl_complementOf, Z, C) => (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))))), rewrite((iext(uri_owl_complementOf, Z, C) => (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))), ((iext(uri_owl_complementOf, Z, C) => ((ic(Z) & ic(C)) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(19,plain,
% 0.19/0.47 (![Z: $i, C: $i] : (iext(uri_owl_complementOf, Z, C) => ((ic(Z) & ic(C)) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X))))) <=> ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[18])).
% 0.19/0.47 tff(20,axiom,(![Z: $i, C: $i] : (iext(uri_owl_complementOf, Z, C) => ((ic(Z) & ic(C)) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_bool_complementof_class')).
% 0.19/0.47 tff(21,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.19/0.47 tff(22,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.19/0.47 tff(23,plain,(
% 0.19/0.47 ![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (ic(Z) & ic(C) & ![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))),
% 0.19/0.47 inference(skolemize,[status(sab)],[22])).
% 0.19/0.47 tff(24,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.19/0.47 tff(25,plain,
% 0.19/0.47 (![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.19/0.47 tff(26,plain,
% 0.19/0.47 (((~![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))) | ((~iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0)) | (~((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))))))) <=> ((~![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))) | (~iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0)) | (~((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))))))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(27,plain,
% 0.19/0.47 ((~![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))) | ((~iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0)) | (~((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))))))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(28,plain,
% 0.19/0.47 ((~![Z: $i, C: $i] : ((~iext(uri_owl_complementOf, Z, C)) | (~((~ic(Z)) | (~ic(C)) | (~![X: $i] : (icext(Z, X) <=> (~icext(C, X)))))))) | (~iext(uri_owl_complementOf, uri_ex_c, BNODE_x!0)) | (~((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X))))))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.47 tff(29,plain,
% 0.19/0.47 (~((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[28, 25, 9])).
% 0.19/0.47 tff(30,plain,
% 0.19/0.47 (((~ic(uri_ex_c)) | (~ic(BNODE_x!0)) | (~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X))))) | ![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(31,plain,
% 0.19/0.47 (![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.19/0.47 tff(32,plain,
% 0.19/0.47 ((~![X: $i] : (icext(uri_ex_c, X) <=> (~icext(BNODE_x!0, X)))) | (icext(uri_ex_c, uri_ex_c) <=> (~icext(BNODE_x!0, uri_ex_c)))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(33,plain,
% 0.19/0.47 (icext(uri_ex_c, uri_ex_c) <=> (~icext(BNODE_x!0, uri_ex_c))),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.19/0.47 tff(34,plain,
% 0.19/0.47 ((~(icext(uri_ex_c, uri_ex_c) <=> (~icext(BNODE_x!0, uri_ex_c)))) | icext(uri_ex_c, uri_ex_c) | icext(BNODE_x!0, uri_ex_c)),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(35,plain,
% 0.19/0.47 (icext(uri_ex_c, uri_ex_c) | icext(BNODE_x!0, uri_ex_c)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.19/0.47 tff(36,plain,
% 0.19/0.47 (icext(BNODE_x!0, uri_ex_c)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[35, 1])).
% 0.19/0.47 tff(37,plain,
% 0.19/0.47 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(38,plain,
% 0.19/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[37])).
% 0.19/0.47 tff(39,plain,
% 0.19/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.19/0.47 inference(rewrite,[status(thm)],[])).
% 0.19/0.47 tff(40,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rdfs_cext_def')).
% 0.19/0.47 tff(41,plain,
% 0.19/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.47 tff(42,plain,(
% 0.19/0.47 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.19/0.47 inference(skolemize,[status(sab)],[41])).
% 0.19/0.47 tff(43,plain,
% 0.19/0.47 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.19/0.47 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.19/0.47 tff(44,plain,
% 0.19/0.47 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_c, uri_ex_c) <=> icext(uri_ex_c, uri_ex_c))),
% 0.19/0.47 inference(quant_inst,[status(thm)],[])).
% 0.19/0.47 tff(45,plain,
% 0.19/0.47 (iext(uri_rdf_type, uri_ex_c, uri_ex_c) <=> icext(uri_ex_c, uri_ex_c)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.19/0.47 tff(46,plain,
% 0.19/0.47 ((~(iext(uri_rdf_type, uri_ex_c, uri_ex_c) <=> icext(uri_ex_c, uri_ex_c))) | (~iext(uri_rdf_type, uri_ex_c, uri_ex_c)) | icext(uri_ex_c, uri_ex_c)),
% 0.19/0.47 inference(tautology,[status(thm)],[])).
% 0.19/0.47 tff(47,plain,
% 0.19/0.47 ((~iext(uri_rdf_type, uri_ex_c, uri_ex_c)) | icext(uri_ex_c, uri_ex_c)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.19/0.47 tff(48,plain,
% 0.19/0.47 (~iext(uri_rdf_type, uri_ex_c, uri_ex_c)),
% 0.19/0.47 inference(unit_resolution,[status(thm)],[47, 1])).
% 0.19/0.47 tff(49,plain,
% 0.19/0.47 (iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))),
% 0.19/0.47 inference(and_elim,[status(thm)],[8])).
% 0.19/0.47 tff(50,plain,
% 0.19/0.47 (iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type)),
% 0.19/0.47 inference(and_elim,[status(thm)],[8])).
% 0.19/0.47 tff(51,plain,
% 0.19/0.47 (^[Z: $i, P: $i, V: $i] : rewrite((![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(52,plain,
% 0.19/0.47 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> ![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[51])).
% 0.19/0.47 tff(53,plain,
% 0.19/0.47 (^[Z: $i, P: $i, V: $i] : refl((![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(54,plain,
% 0.19/0.47 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> ![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[53])).
% 0.19/0.47 tff(55,plain,
% 0.19/0.47 (^[Z: $i, P: $i, V: $i] : rewrite((![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))),
% 0.19/0.47 inference(bind,[status(th)],[])).
% 0.19/0.47 tff(56,plain,
% 0.19/0.47 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> ![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.47 inference(quant_intro,[status(thm)],[55])).
% 0.19/0.47 tff(57,plain,
% 0.19/0.47 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) <=> ![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.47 inference(transitivity,[status(thm)],[56, 54])).
% 0.19/0.47 tff(58,plain,
% 0.19/0.47 (^[Z: $i, P: $i, V: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))), ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))))), rewrite((~(~((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))) <=> ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))), ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))))), (((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> (((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))))), rewrite((((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))), (((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(59,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> ![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[58])).
% 0.19/0.48 tff(60,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> ![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(61,plain,
% 0.19/0.48 (^[Z: $i, P: $i, V: $i] : rewrite(((iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X))))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(62,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, X))) <=> ![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[61])).
% 0.19/0.48 tff(63,axiom,(![Z: $i, P: $i, V: $i] : ((iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_restrict_hasself')).
% 0.19/0.48 tff(64,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.19/0.48 tff(65,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[64, 60])).
% 0.19/0.48 tff(66,plain,(
% 0.19/0.48 ![Z: $i, P: $i, V: $i] : ((~(iext(uri_owl_hasSelf, Z, V) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(skolemize,[status(sab)],[65])).
% 0.19/0.48 tff(67,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[66, 59])).
% 0.19/0.48 tff(68,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, X)) | (~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[67, 57])).
% 0.19/0.48 tff(69,plain,
% 0.19/0.48 (![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[68, 52])).
% 0.19/0.48 tff(70,plain,
% 0.19/0.48 (((~![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))) | ((~iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))) | (~iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type)) | ![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X)))) <=> ((~![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))) | (~iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))) | (~iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type)) | ![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X)))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(71,plain,
% 0.19/0.48 ((~![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))) | ((~iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))) | (~iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type)) | ![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X)))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(72,plain,
% 0.19/0.48 ((~![Z: $i, P: $i, V: $i] : ((~iext(uri_owl_hasSelf, Z, V)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, X)))) | (~iext(uri_owl_hasSelf, BNODE_x!0, literal_typed(dat_str_true, uri_xsd_boolean))) | (~iext(uri_owl_onProperty, BNODE_x!0, uri_rdf_type)) | ![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.19/0.48 tff(73,plain,
% 0.19/0.48 (![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[72, 69, 50, 49])).
% 0.19/0.48 tff(74,plain,
% 0.19/0.48 ((~![X: $i] : (icext(BNODE_x!0, X) <=> iext(uri_rdf_type, X, X))) | (icext(BNODE_x!0, uri_ex_c) <=> iext(uri_rdf_type, uri_ex_c, uri_ex_c))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(75,plain,
% 0.19/0.48 (icext(BNODE_x!0, uri_ex_c) <=> iext(uri_rdf_type, uri_ex_c, uri_ex_c)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[74, 73])).
% 0.19/0.48 tff(76,plain,
% 0.19/0.48 ((~(icext(BNODE_x!0, uri_ex_c) <=> iext(uri_rdf_type, uri_ex_c, uri_ex_c))) | (~icext(BNODE_x!0, uri_ex_c)) | iext(uri_rdf_type, uri_ex_c, uri_ex_c)),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(77,plain,
% 0.19/0.48 ((~icext(BNODE_x!0, uri_ex_c)) | iext(uri_rdf_type, uri_ex_c, uri_ex_c)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.19/0.48 tff(78,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[77, 48, 36])).
% 0.19/0.48 tff(79,plain,(icext(uri_ex_c, uri_ex_c)), inference(lemma,lemma(discharge,[]))).
% 0.19/0.48 tff(80,plain,
% 0.19/0.48 ((~(icext(uri_ex_c, uri_ex_c) <=> (~icext(BNODE_x!0, uri_ex_c)))) | (~icext(uri_ex_c, uri_ex_c)) | (~icext(BNODE_x!0, uri_ex_c))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(81,plain,
% 0.19/0.48 ((~icext(uri_ex_c, uri_ex_c)) | (~icext(BNODE_x!0, uri_ex_c))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[80, 33])).
% 0.19/0.48 tff(82,plain,
% 0.19/0.48 (~icext(BNODE_x!0, uri_ex_c)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[81, 79])).
% 0.19/0.48 tff(83,plain,
% 0.19/0.48 ((~(iext(uri_rdf_type, uri_ex_c, uri_ex_c) <=> icext(uri_ex_c, uri_ex_c))) | iext(uri_rdf_type, uri_ex_c, uri_ex_c) | (~icext(uri_ex_c, uri_ex_c))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(84,plain,
% 0.19/0.48 (iext(uri_rdf_type, uri_ex_c, uri_ex_c) | (~icext(uri_ex_c, uri_ex_c))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[83, 45])).
% 0.19/0.48 tff(85,plain,
% 0.19/0.48 (iext(uri_rdf_type, uri_ex_c, uri_ex_c)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[84, 79])).
% 0.19/0.48 tff(86,plain,
% 0.19/0.48 ((~(icext(BNODE_x!0, uri_ex_c) <=> iext(uri_rdf_type, uri_ex_c, uri_ex_c))) | icext(BNODE_x!0, uri_ex_c) | (~iext(uri_rdf_type, uri_ex_c, uri_ex_c))),
% 0.19/0.48 inference(tautology,[status(thm)],[])).
% 0.19/0.48 tff(87,plain,
% 0.19/0.48 (icext(BNODE_x!0, uri_ex_c) | (~iext(uri_rdf_type, uri_ex_c, uri_ex_c))),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[86, 75])).
% 0.19/0.48 tff(88,plain,
% 0.19/0.48 ($false),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[87, 85, 82])).
% 0.19/0.48 % SZS output end Proof
%------------------------------------------------------------------------------