TSTP Solution File: SWB009+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Tue Sep 20 08:31:39 EDT 2022
% Result : Theorem 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB009+2 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 19:28:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.21/0.39 % SZS status Theorem
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(icext_type, type, (
% 0.21/0.39 icext: ( $i * $i ) > $o)).
% 0.21/0.39 tff(tptp_fun_Y_0_type, type, (
% 0.21/0.39 tptp_fun_Y_0: ( $i * $i * $i ) > $i)).
% 0.21/0.39 tff(uri_ex_p_type, type, (
% 0.21/0.39 uri_ex_p: $i)).
% 0.21/0.39 tff(uri_ex_c_type, type, (
% 0.21/0.39 uri_ex_c: $i)).
% 0.21/0.39 tff(uri_ex_s_type, type, (
% 0.21/0.39 uri_ex_s: $i)).
% 0.21/0.39 tff(iext_type, type, (
% 0.21/0.39 iext: ( $i * $i * $i ) > $o)).
% 0.21/0.39 tff(uri_rdf_type_type, type, (
% 0.21/0.39 uri_rdf_type: $i)).
% 0.21/0.39 tff(tptp_fun_BNODE_z_1_type, type, (
% 0.21/0.39 tptp_fun_BNODE_z_1: $i)).
% 0.21/0.39 tff(uri_owl_someValuesFrom_type, type, (
% 0.21/0.39 uri_owl_someValuesFrom: $i)).
% 0.21/0.39 tff(uri_owl_onProperty_type, type, (
% 0.21/0.39 uri_owl_onProperty: $i)).
% 0.21/0.39 tff(uri_owl_Restriction_type, type, (
% 0.21/0.39 uri_owl_Restriction: $i)).
% 0.21/0.39 tff(uri_owl_Class_type, type, (
% 0.21/0.39 uri_owl_Class: $i)).
% 0.21/0.39 tff(uri_owl_ObjectProperty_type, type, (
% 0.21/0.39 uri_owl_ObjectProperty: $i)).
% 0.21/0.39 tff(1,plain,
% 0.21/0.39 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(2,plain,
% 0.21/0.39 (![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))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[1])).
% 0.21/0.39 tff(3,plain,
% 0.21/0.39 (![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))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(4,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rdfs_cext_def')).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.39 tff(6,plain,(
% 0.21/0.39 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.39 inference(skolemize,[status(sab)],[5])).
% 0.21/0.39 tff(7,plain,
% 0.21/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(9,plain,
% 0.21/0.39 (iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(11,plain,
% 0.21/0.39 (^[BNODE_z: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z))), ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction))), ((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)))), (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p))), (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)))), ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)))), rewrite(((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))), ((((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 (?[BNODE_z: $i] : (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c)) <=> ?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[11])).
% 0.21/0.39 tff(13,axiom,(?[BNODE_z: $i] : (((((iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class)) & iext(uri_rdf_type, uri_ex_s, BNODE_z)) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_premise_fullish_009_Existential_Restriction_Entailments')).
% 0.21/0.39 tff(14,plain,
% 0.21/0.39 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 (?[BNODE_z: $i] : (iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z, uri_ex_c))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.21/0.39 tff(16,plain,(
% 0.21/0.39 iext(uri_rdf_type, uri_ex_p, uri_owl_ObjectProperty) & iext(uri_rdf_type, uri_ex_c, uri_owl_Class) & iext(uri_rdf_type, uri_ex_s, BNODE_z!1) & iext(uri_rdf_type, BNODE_z!1, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p) & iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)),
% 0.21/0.39 inference(skolemize,[status(sab)],[15])).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 (iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)),
% 0.21/0.39 inference(and_elim,[status(thm)],[16])).
% 0.21/0.39 tff(18,plain,
% 0.21/0.39 (iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p)),
% 0.21/0.39 inference(and_elim,[status(thm)],[16])).
% 0.21/0.39 tff(19,plain,
% 0.21/0.39 (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))),
% 0.21/0.39 inference(bind,[status(th)],[])).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.39 inference(quant_intro,[status(thm)],[19])).
% 0.21/0.39 tff(21,plain,
% 0.21/0.39 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(22,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[21])).
% 0.21/0.40 tff(23,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.40 inference(transitivity,[status(thm)],[22, 20])).
% 0.21/0.40 tff(24,plain,
% 0.21/0.40 (^[Z: $i, P: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))))))), rewrite((~(~((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite(((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))), rewrite((icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))) <=> (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))), rewrite((((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))), (![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> (((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))))), rewrite((((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y)))))))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(25,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[24])).
% 0.21/0.40 tff(26,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(27,plain,
% 0.21/0.40 (^[Z: $i, P: $i, C: $i] : rewrite(((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))))),
% 0.21/0.40 inference(bind,[status(th)],[])).
% 0.21/0.40 tff(28,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.21/0.40 inference(quant_intro,[status(thm)],[27])).
% 0.21/0.40 tff(29,axiom,(![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_restrict_somevaluesfrom')).
% 0.21/0.40 tff(30,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.21/0.40 tff(31,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[30, 26])).
% 0.21/0.40 tff(32,plain,(
% 0.21/0.40 ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_0(X, C, P)) & icext(C, tptp_fun_Y_0(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.21/0.40 inference(skolemize,[status(sab)],[31])).
% 0.21/0.40 tff(33,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[32, 25])).
% 0.21/0.40 tff(34,plain,
% 0.21/0.40 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[33, 23])).
% 0.21/0.40 tff(35,plain,
% 0.21/0.40 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)) | (~iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p)) | ![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | (~iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)) | (~iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p)) | ![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))))))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(36,plain,
% 0.21/0.40 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | ((~iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)) | (~iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p)) | ![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y))))))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(37,plain,
% 0.21/0.40 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_0(X, C, P))) | (~icext(C, tptp_fun_Y_0(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~iext(P, X, Y)) | (~icext(C, Y))))))))) | (~iext(uri_owl_someValuesFrom, BNODE_z!1, uri_ex_c)) | (~iext(uri_owl_onProperty, BNODE_z!1, uri_ex_p)) | ![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y)))))))),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[36, 35])).
% 0.21/0.40 tff(38,plain,
% 0.21/0.40 (![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y)))))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[37, 34, 18, 17])).
% 0.21/0.40 tff(39,plain,
% 0.21/0.40 ((~![X: $i] : (~((~((~icext(BNODE_z!1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(X, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, X) | ![Y: $i] : ((~iext(uri_ex_p, X, Y)) | (~icext(uri_ex_c, Y)))))))) | (~((~((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y)))))))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(40,plain,
% 0.21/0.40 (~((~((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y))))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.21/0.40 tff(41,plain,
% 0.21/0.40 (((~((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~(icext(BNODE_z!1, uri_ex_s) | ![Y: $i] : ((~iext(uri_ex_p, uri_ex_s, Y)) | (~icext(uri_ex_c, Y)))))) | ((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(42,plain,
% 0.21/0.40 ((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[41, 40])).
% 0.21/0.40 tff(43,plain,
% 0.21/0.40 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_s, BNODE_z!1) <=> icext(BNODE_z!1, uri_ex_s))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(44,plain,
% 0.21/0.40 (iext(uri_rdf_type, uri_ex_s, BNODE_z!1) <=> icext(BNODE_z!1, uri_ex_s)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[43, 7])).
% 0.21/0.40 tff(45,plain,
% 0.21/0.40 (iext(uri_rdf_type, uri_ex_s, BNODE_z!1)),
% 0.21/0.40 inference(and_elim,[status(thm)],[16])).
% 0.21/0.40 tff(46,plain,
% 0.21/0.40 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!1) <=> icext(BNODE_z!1, uri_ex_s))) | (~iext(uri_rdf_type, uri_ex_s, BNODE_z!1)) | icext(BNODE_z!1, uri_ex_s)),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(47,plain,
% 0.21/0.40 ((~(iext(uri_rdf_type, uri_ex_s, BNODE_z!1) <=> icext(BNODE_z!1, uri_ex_s))) | icext(BNODE_z!1, uri_ex_s)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[46, 45])).
% 0.21/0.40 tff(48,plain,
% 0.21/0.40 (icext(BNODE_z!1, uri_ex_s)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[47, 44])).
% 0.21/0.40 tff(49,plain,
% 0.21/0.40 ((~((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(50,plain,
% 0.21/0.40 ((~((~icext(BNODE_z!1, uri_ex_s)) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))))) | (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[49, 48])).
% 0.21/0.40 tff(51,plain,
% 0.21/0.40 (~((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))))),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[50, 42])).
% 0.21/0.40 tff(52,plain,
% 0.21/0.40 (((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.40 inference(tautology,[status(thm)],[])).
% 0.21/0.40 tff(53,plain,
% 0.21/0.40 (iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[52, 51])).
% 0.21/0.41 tff(54,plain,
% 0.21/0.41 (^[BNODE_x: $i] : refl(((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(55,plain,
% 0.21/0.41 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[54])).
% 0.21/0.41 tff(56,plain,
% 0.21/0.41 (^[BNODE_x: $i] : trans(monotonicity(rewrite((iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)) <=> (~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))), ((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> (~(~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))))), rewrite((~(~((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c))))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))), ((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(57,plain,
% 0.21/0.41 (![BNODE_x: $i] : (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> ![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(quant_intro,[status(thm)],[56])).
% 0.21/0.41 tff(58,plain,
% 0.21/0.41 ((~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))) <=> (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(59,axiom,(~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_conclusion_fullish_009_Existential_Restriction_Entailments')).
% 0.21/0.41 tff(60,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.21/0.41 tff(61,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[60, 58])).
% 0.21/0.41 tff(62,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[61, 58])).
% 0.21/0.41 tff(63,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[62, 58])).
% 0.21/0.41 tff(64,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[63, 58])).
% 0.21/0.41 tff(65,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[64, 58])).
% 0.21/0.41 tff(66,plain,
% 0.21/0.41 (~?[BNODE_x: $i] : (iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.21/0.41 tff(67,plain,
% 0.21/0.41 (^[BNODE_x: $i] : refl($oeq((~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c))), (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))))),
% 0.21/0.41 inference(bind,[status(th)],[])).
% 0.21/0.41 tff(68,plain,(
% 0.21/0.41 ![BNODE_x: $i] : (~(iext(uri_ex_p, uri_ex_s, BNODE_x) & iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(nnf-neg,[status(sab)],[66, 67])).
% 0.21/0.41 tff(69,plain,
% 0.21/0.41 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[68, 57])).
% 0.21/0.41 tff(70,plain,
% 0.21/0.41 (![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[69, 55])).
% 0.21/0.41 tff(71,plain,
% 0.21/0.41 (((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | ((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))) <=> ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.21/0.41 inference(rewrite,[status(thm)],[])).
% 0.21/0.41 tff(72,plain,
% 0.21/0.41 ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | ((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)))),
% 0.21/0.41 inference(quant_inst,[status(thm)],[])).
% 0.21/0.41 tff(73,plain,
% 0.21/0.41 ((~![BNODE_x: $i] : ((~iext(uri_ex_p, uri_ex_s, BNODE_x)) | (~iext(uri_rdf_type, BNODE_x, uri_ex_c)))) | (~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c))),
% 0.21/0.41 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.21/0.41 tff(74,plain,
% 0.21/0.41 (~iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[73, 70, 53])).
% 0.21/0.41 tff(75,plain,
% 0.21/0.41 (((~iext(uri_ex_p, uri_ex_s, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))) | icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(76,plain,
% 0.21/0.41 (icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p))),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[75, 51])).
% 0.21/0.41 tff(77,plain,
% 0.21/0.41 ((~(iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) | (~icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))),
% 0.21/0.41 inference(tautology,[status(thm)],[])).
% 0.21/0.41 tff(78,plain,
% 0.21/0.41 ((~(iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c) <=> icext(uri_ex_c, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p)))) | iext(uri_rdf_type, tptp_fun_Y_0(uri_ex_s, uri_ex_c, uri_ex_p), uri_ex_c)),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.21/0.41 tff(79,plain,
% 0.21/0.41 ($false),
% 0.21/0.41 inference(unit_resolution,[status(thm)],[78, 74, 9])).
% 0.21/0.41 % SZS output end Proof
%------------------------------------------------------------------------------