%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB004+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 : Sat Jun 21 05:29:29 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB004+2 : TPTP v9.0.0. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n003.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 07:46:54 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(icext_type, type, (
% 0.11/0.37 icext: ( $i * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_X_1_type, type, (
% 0.11/0.37 tptp_fun_X_1: ( $i * $i ) > $i)).
% 0.11/0.37 tff(uri_owl_Class_type, type, (
% 0.11/0.37 uri_owl_Class: $i)).
% 0.11/0.37 tff(uri_rdfs_Class_type, type, (
% 0.11/0.37 uri_rdfs_Class: $i)).
% 0.11/0.37 tff(ic_type, type, (
% 0.11/0.37 ic: $i > $o)).
% 0.11/0.37 tff(iext_type, type, (
% 0.11/0.37 iext: ( $i * $i * $i ) > $o)).
% 0.11/0.37 tff(uri_owl_equivalentClass_type, type, (
% 0.11/0.37 uri_owl_equivalentClass: $i)).
% 0.11/0.37 tff(uri_owl_Thing_type, type, (
% 0.11/0.37 uri_owl_Thing: $i)).
% 0.11/0.37 tff(uri_rdfs_subClassOf_type, type, (
% 0.11/0.37 uri_rdfs_subClassOf: $i)).
% 0.11/0.37 tff(tptp_fun_X_0_type, type, (
% 0.11/0.37 tptp_fun_X_0: ( $i * $i ) > $i)).
% 0.11/0.37 tff(ir_type, type, (
% 0.11/0.37 ir: $i > $o)).
% 0.11/0.37 tff(uri_rdf_type_type, type, (
% 0.11/0.37 uri_rdf_type: $i)).
% 0.11/0.37 tff(uri_rdfs_Datatype_type, type, (
% 0.11/0.37 uri_rdfs_Datatype: $i)).
% 0.11/0.37 tff(idc_type, type, (
% 0.11/0.37 idc: $i > $o)).
% 0.11/0.37 tff(1,assumption,(~icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))), introduced(assumption)).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[2])).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[4])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(7,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[6])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[7, 5])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), trans(monotonicity(rewrite((~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))) <=> (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))), rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[9])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[11])).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[14])).
% 0.11/0.37 tff(16,axiom,(![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_eqdis_equivalentclass')).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.11/0.37 tff(19,plain,(
% 0.11/0.37 ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.11/0.37 inference(skolemize,[status(sab)],[18])).
% 0.11/0.37 tff(20,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.11/0.38 tff(21,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[20, 10])).
% 0.11/0.38 tff(22,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[21, 8])).
% 0.11/0.38 tff(23,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[22, 3])).
% 0.11/0.38 tff(24,plain,
% 0.11/0.38 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~![X: $i] : (icext(uri_owl_Class, X) <=> icext(uri_rdfs_Class, X)))))))))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(25,plain,
% 0.11/0.38 (~((~(iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~![X: $i] : (icext(uri_owl_Class, X) <=> icext(uri_rdfs_Class, X))))))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[24, 23])).
% 0.11/0.38 tff(26,plain,
% 0.11/0.38 (((~(iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~![X: $i] : (icext(uri_owl_Class, X) <=> icext(uri_rdfs_Class, X)))))))) | (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))),
% 0.11/0.38 inference(tautology,[status(thm)],[])).
% 0.11/0.38 tff(27,plain,
% 0.11/0.38 (iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.11/0.38 tff(28,assumption,((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | (~((~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~((~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~![X: $i] : ((~icext(uri_owl_Class, X)) | icext(uri_owl_Thing, X)))))))), introduced(assumption)).
% 0.11/0.38 tff(29,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(30,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[29])).
% 0.11/0.38 tff(31,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(32,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[31])).
% 0.11/0.38 tff(33,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[33])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(transitivity,[status(thm)],[34, 32])).
% 0.11/0.38 tff(36,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))), rewrite((iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))) <=> (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))), rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(37,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[36])).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(39,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[38])).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 (^[C1: $i, C2: $i] : rewrite((iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(42,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[41])).
% 0.11/0.38 tff(43,axiom,(![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_rdfsext_subclassof')).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[43, 42])).
% 0.11/0.38 tff(45,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[44, 40])).
% 0.11/0.38 tff(46,plain,(
% 0.11/0.38 ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))))),
% 0.11/0.38 inference(skolemize,[status(sab)],[45])).
% 0.11/0.38 tff(47,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.11/0.38 tff(48,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[47, 37])).
% 0.11/0.38 tff(49,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[48, 35])).
% 0.11/0.38 tff(50,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[49, 30])).
% 0.11/0.38 tff(51,plain,
% 0.11/0.38 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | (~((~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~((~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~![X: $i] : ((~icext(uri_owl_Class, X)) | icext(uri_owl_Thing, X)))))))))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(52,plain,
% 0.11/0.39 ($false),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[51, 50, 28])).
% 0.11/0.39 tff(53,plain,(~((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | (~((~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~((~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~![X: $i] : ((~icext(uri_owl_Class, X)) | icext(uri_owl_Thing, X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.39 tff(54,plain,
% 0.11/0.39 (((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | (~((~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~((~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~![X: $i] : ((~icext(uri_owl_Class, X)) | icext(uri_owl_Thing, X)))))))) | (iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(55,plain,
% 0.11/0.39 (iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[54, 53])).
% 0.11/0.39 tff(56,plain,
% 0.11/0.39 (^[X: $i] : refl((icext(uri_owl_Thing, X) <=> ir(X)) <=> (icext(uri_owl_Thing, X) <=> ir(X)))),
% 0.11/0.39 inference(bind,[status(th)],[])).
% 0.11/0.39 tff(57,plain,
% 0.11/0.39 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.11/0.39 inference(quant_intro,[status(thm)],[56])).
% 0.11/0.39 tff(58,plain,
% 0.11/0.39 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(59,axiom,(![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_thing_ext')).
% 0.11/0.39 tff(60,plain,
% 0.11/0.39 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.11/0.39 tff(61,plain,(
% 0.11/0.39 ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.11/0.39 inference(skolemize,[status(sab)],[60])).
% 0.11/0.39 tff(62,plain,
% 0.11/0.39 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.11/0.39 tff(63,plain,
% 0.11/0.39 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)) <=> ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(64,plain,
% 0.11/0.39 (icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)) <=> ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.11/0.39 tff(65,assumption,(~ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))), introduced(assumption)).
% 0.11/0.39 tff(66,plain,
% 0.11/0.39 (^[X: $i] : refl(ir(X) <=> ir(X))),
% 0.11/0.39 inference(bind,[status(th)],[])).
% 0.11/0.39 tff(67,plain,
% 0.11/0.39 (![X: $i] : ir(X) <=> ![X: $i] : ir(X)),
% 0.11/0.39 inference(quant_intro,[status(thm)],[66])).
% 0.11/0.39 tff(68,plain,
% 0.11/0.39 (![X: $i] : ir(X) <=> ![X: $i] : ir(X)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(69,axiom,(![X: $i] : ir(X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','simple_ir')).
% 0.11/0.39 tff(70,plain,
% 0.11/0.39 (![X: $i] : ir(X)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.11/0.39 tff(71,plain,(
% 0.11/0.39 ![X: $i] : ir(X)),
% 0.11/0.39 inference(skolemize,[status(sab)],[70])).
% 0.11/0.39 tff(72,plain,
% 0.11/0.39 (![X: $i] : ir(X)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[71, 67])).
% 0.11/0.39 tff(73,plain,
% 0.11/0.39 ((~![X: $i] : ir(X)) | ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(74,plain,
% 0.11/0.39 ($false),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[73, 72, 65])).
% 0.11/0.39 tff(75,plain,(ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.39 tff(76,plain,
% 0.11/0.39 ((~(icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)) <=> ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)) | (~ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(77,plain,
% 0.11/0.39 ((~(icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)) <=> ir(tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.11/0.39 tff(78,plain,
% 0.11/0.39 (icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[77, 64])).
% 0.11/0.39 tff(79,plain,
% 0.11/0.39 (((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | (~icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(80,plain,
% 0.11/0.39 ((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[79, 78])).
% 0.11/0.39 tff(81,plain,
% 0.11/0.39 (ic(uri_owl_Thing) <=> ic(uri_owl_Thing)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(82,axiom,(ic(uri_owl_Thing)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_thing_type')).
% 0.11/0.39 tff(83,plain,
% 0.11/0.39 (ic(uri_owl_Thing)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.11/0.39 tff(84,plain,
% 0.11/0.39 (ic(uri_owl_Class) <=> ic(uri_owl_Class)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(85,axiom,(ic(uri_owl_Class)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_classowl_type')).
% 0.11/0.39 tff(86,plain,
% 0.11/0.39 (ic(uri_owl_Class)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.11/0.39 tff(87,plain,
% 0.11/0.39 ((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(88,plain,
% 0.11/0.39 ((~(iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) | (~ic(uri_owl_Class)) | (~ic(uri_owl_Thing)) | (~((~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class))) | icext(uri_owl_Thing, tptp_fun_X_0(uri_owl_Thing, uri_owl_Class)))))) | iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[87, 86, 83, 80])).
% 0.11/0.39 tff(89,plain,
% 0.11/0.39 (iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[88, 55])).
% 0.11/0.39 tff(90,plain,
% 0.11/0.39 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.11/0.39 inference(bind,[status(th)],[])).
% 0.11/0.39 tff(91,plain,
% 0.11/0.39 (![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))),
% 0.11/0.39 inference(quant_intro,[status(thm)],[90])).
% 0.11/0.39 tff(92,plain,
% 0.11/0.39 (![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))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(93,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','rdfs_cext_def')).
% 0.11/0.39 tff(94,plain,
% 0.11/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.11/0.39 tff(95,plain,(
% 0.11/0.39 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.11/0.39 inference(skolemize,[status(sab)],[94])).
% 0.11/0.39 tff(96,plain,
% 0.11/0.39 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.11/0.39 tff(97,plain,
% 0.11/0.39 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(98,plain,
% 0.11/0.39 (iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.11/0.39 tff(99,plain,
% 0.11/0.39 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(100,plain,
% 0.11/0.39 (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[99, 62])).
% 0.11/0.39 tff(101,assumption,(~ir(uri_owl_Class)), introduced(assumption)).
% 0.11/0.39 tff(102,plain,
% 0.11/0.39 ((~![X: $i] : ir(X)) | ir(uri_owl_Class)),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(103,plain,
% 0.11/0.39 ($false),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[102, 72, 101])).
% 0.11/0.39 tff(104,plain,(ir(uri_owl_Class)), inference(lemma,lemma(discharge,[]))).
% 0.11/0.39 tff(105,plain,
% 0.11/0.39 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))) | icext(uri_owl_Thing, uri_owl_Class) | (~ir(uri_owl_Class))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(106,plain,
% 0.11/0.39 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))) | icext(uri_owl_Thing, uri_owl_Class)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.11/0.39 tff(107,plain,
% 0.11/0.39 (icext(uri_owl_Thing, uri_owl_Class)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[106, 100])).
% 0.11/0.39 tff(108,plain,
% 0.11/0.39 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class))) | iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) | (~icext(uri_owl_Thing, uri_owl_Class))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(109,plain,
% 0.11/0.39 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) <=> icext(uri_owl_Thing, uri_owl_Class))) | iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.11/0.39 tff(110,plain,
% 0.11/0.39 (iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[109, 98])).
% 0.11/0.39 tff(111,assumption,((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))), introduced(assumption)).
% 0.11/0.39 tff(112,plain,
% 0.11/0.39 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X))))))))))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(113,plain,
% 0.11/0.39 ((~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X))))))))) <=> (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(114,plain,
% 0.11/0.39 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X))))))))))),
% 0.11/0.39 inference(monotonicity,[status(thm)],[113])).
% 0.11/0.39 tff(115,plain,
% 0.11/0.39 (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X))))))))))),
% 0.11/0.40 inference(transitivity,[status(thm)],[114, 112])).
% 0.11/0.40 tff(116,plain,
% 0.11/0.40 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_rdfs_Datatype)) | (~ic(uri_owl_Class)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))),
% 0.11/0.40 inference(quant_inst,[status(thm)],[])).
% 0.11/0.40 tff(117,plain,
% 0.11/0.40 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_0(C2, C1))) | icext(C2, tptp_fun_X_0(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))))),
% 0.11/0.40 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.11/0.40 tff(118,plain,
% 0.11/0.40 ($false),
% 0.11/0.40 inference(unit_resolution,[status(thm)],[117, 50, 111])).
% 0.11/0.40 tff(119,plain,(~((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X))))))))), inference(lemma,lemma(discharge,[]))).
% 0.11/0.40 tff(120,plain,
% 0.11/0.40 (((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | (~((~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) | (~((~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~![X: $i] : ((~icext(uri_rdfs_Datatype, X)) | icext(uri_owl_Class, X)))))))) | (iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))),
% 0.11/0.40 inference(tautology,[status(thm)],[])).
% 0.11/0.40 tff(121,plain,
% 0.11/0.40 (iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.18/0.40 tff(122,plain,
% 0.18/0.40 (^[X: $i] : refl((icext(uri_rdfs_Datatype, X) <=> idc(X)) <=> (icext(uri_rdfs_Datatype, X) <=> idc(X)))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(123,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X)) <=> ![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[122])).
% 0.18/0.40 tff(124,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X)) <=> ![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(125,axiom,(![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_datatype_ext')).
% 0.18/0.40 tff(126,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.18/0.40 tff(127,plain,(
% 0.18/0.40 ![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))),
% 0.18/0.40 inference(skolemize,[status(sab)],[126])).
% 0.18/0.40 tff(128,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.18/0.40 tff(129,plain,
% 0.18/0.40 ((~![X: $i] : (icext(uri_rdfs_Datatype, X) <=> idc(X))) | (icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(130,plain,
% 0.18/0.40 (icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.18/0.40 tff(131,assumption,(~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))), introduced(assumption)).
% 0.18/0.40 tff(132,plain,
% 0.18/0.40 (((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(133,plain,
% 0.18/0.40 (icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.18/0.40 tff(134,plain,
% 0.18/0.40 ((~(icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))) | (~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(135,plain,
% 0.18/0.40 ((~(icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))) | idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[134, 133])).
% 0.18/0.40 tff(136,plain,
% 0.18/0.40 (idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[135, 130])).
% 0.18/0.40 tff(137,plain,
% 0.18/0.40 (^[X: $i] : refl((icext(uri_owl_Class, X) <=> ic(X)) <=> (icext(uri_owl_Class, X) <=> ic(X)))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(138,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[137])).
% 0.18/0.40 tff(139,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(140,axiom,(![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_classowl_ext')).
% 0.18/0.40 tff(141,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.18/0.40 tff(142,plain,(
% 0.18/0.40 ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 0.18/0.40 inference(skolemize,[status(sab)],[141])).
% 0.18/0.40 tff(143,plain,
% 0.18/0.40 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[142, 138])).
% 0.18/0.40 tff(144,plain,
% 0.18/0.40 ((~![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))) | (icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(145,plain,
% 0.18/0.40 (icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[144, 143])).
% 0.18/0.40 tff(146,plain,
% 0.18/0.40 (((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | (~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(147,plain,
% 0.18/0.40 (~icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[146, 131])).
% 0.18/0.40 tff(148,plain,
% 0.18/0.40 ((~(icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) | (~ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(149,plain,
% 0.18/0.40 ((~(icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) <=> ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))) | (~ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[148, 147])).
% 0.18/0.40 tff(150,plain,
% 0.18/0.40 (~ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[149, 145])).
% 0.18/0.40 tff(151,plain,
% 0.18/0.40 (^[X: $i] : refl((ic(X) | (~idc(X))) <=> (ic(X) | (~idc(X))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(152,plain,
% 0.18/0.40 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[151])).
% 0.18/0.40 tff(153,plain,
% 0.18/0.40 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(154,plain,
% 0.18/0.40 (^[X: $i] : rewrite((idc(X) => ic(X)) <=> (ic(X) | (~idc(X))))),
% 0.18/0.40 inference(bind,[status(th)],[])).
% 0.18/0.40 tff(155,plain,
% 0.18/0.40 (![X: $i] : (idc(X) => ic(X)) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(quant_intro,[status(thm)],[154])).
% 0.18/0.40 tff(156,axiom,(![X: $i] : (idc(X) => ic(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_parts_idc_cond_set')).
% 0.18/0.40 tff(157,plain,
% 0.18/0.40 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.18/0.40 tff(158,plain,
% 0.18/0.40 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[157, 153])).
% 0.18/0.40 tff(159,plain,(
% 0.18/0.40 ![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(skolemize,[status(sab)],[158])).
% 0.18/0.40 tff(160,plain,
% 0.18/0.40 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[159, 152])).
% 0.18/0.40 tff(161,plain,
% 0.18/0.40 (((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) | (~idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))))) <=> ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) | (~idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(162,plain,
% 0.18/0.40 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) | (~idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(163,plain,
% 0.18/0.40 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)) | (~idc(tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.18/0.40 tff(164,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[163, 160, 150, 136])).
% 0.18/0.40 tff(165,plain,((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(166,plain,
% 0.18/0.40 (ic(uri_rdfs_Datatype) <=> ic(uri_rdfs_Datatype)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(167,axiom,(ic(uri_rdfs_Datatype)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_datatype_type')).
% 0.18/0.40 tff(168,plain,
% 0.18/0.40 (ic(uri_rdfs_Datatype)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.18/0.40 tff(169,plain,
% 0.18/0.40 ((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(170,plain,
% 0.18/0.40 ((~(iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Datatype)) | (~((~icext(uri_rdfs_Datatype, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype))) | icext(uri_owl_Class, tptp_fun_X_0(uri_owl_Class, uri_rdfs_Datatype)))))) | iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[169, 86, 168, 165])).
% 0.18/0.40 tff(171,plain,
% 0.18/0.40 (iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[170, 121])).
% 0.18/0.40 tff(172,plain,
% 0.18/0.40 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(173,plain,
% 0.18/0.40 (iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[172, 96])).
% 0.18/0.40 tff(174,plain,
% 0.18/0.40 ((~![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))) | (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))),
% 0.18/0.40 inference(quant_inst,[status(thm)],[])).
% 0.18/0.40 tff(175,plain,
% 0.18/0.40 (icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[174, 143])).
% 0.18/0.40 tff(176,plain,
% 0.18/0.40 ((~(icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))) | icext(uri_owl_Class, uri_owl_Class) | (~ic(uri_owl_Class))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(177,plain,
% 0.18/0.40 ((~(icext(uri_owl_Class, uri_owl_Class) <=> ic(uri_owl_Class))) | icext(uri_owl_Class, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[176, 86])).
% 0.18/0.40 tff(178,plain,
% 0.18/0.40 (icext(uri_owl_Class, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[177, 175])).
% 0.18/0.40 tff(179,plain,
% 0.18/0.40 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class))) | iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) | (~icext(uri_owl_Class, uri_owl_Class))),
% 0.18/0.40 inference(tautology,[status(thm)],[])).
% 0.18/0.40 tff(180,plain,
% 0.18/0.40 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) <=> icext(uri_owl_Class, uri_owl_Class))) | iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[179, 178])).
% 0.18/0.40 tff(181,plain,
% 0.18/0.40 (iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[180, 173])).
% 0.18/0.40 tff(182,plain,
% 0.18/0.40 ((~(~((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))))) <=> ((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(183,plain,
% 0.18/0.40 ((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)) <=> (~((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(184,plain,
% 0.18/0.41 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))) <=> (~(~((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[183])).
% 0.18/0.41 tff(185,plain,
% 0.18/0.41 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))) <=> ((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))),
% 0.18/0.41 inference(transitivity,[status(thm)],[184, 182])).
% 0.18/0.41 tff(186,plain,
% 0.18/0.41 ((~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))) <=> (~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(187,plain,
% 0.18/0.41 ((~((((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))) <=> (~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class)))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(188,axiom,(~((((iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_conclusion_fullish_004_Axiomatic_Triples')).
% 0.18/0.41 tff(189,plain,
% 0.18/0.41 (~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.18/0.41 tff(190,plain,
% 0.18/0.41 (~(iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing) & iext(uri_rdf_type, uri_owl_Class, uri_owl_Class) & iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing) & iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) & iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[189, 186])).
% 0.18/0.41 tff(191,plain,
% 0.18/0.41 ((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdf_type, uri_owl_Class, uri_owl_Class)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[190, 185])).
% 0.18/0.41 tff(192,plain,
% 0.18/0.41 ((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)) | (~iext(uri_rdfs_subClassOf, uri_rdfs_Datatype, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[191, 181])).
% 0.18/0.41 tff(193,plain,
% 0.18/0.41 ((~iext(uri_rdf_type, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[192, 171])).
% 0.18/0.41 tff(194,plain,
% 0.18/0.41 ((~iext(uri_rdfs_subClassOf, uri_owl_Class, uri_owl_Thing)) | (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[193, 110])).
% 0.18/0.41 tff(195,plain,
% 0.18/0.41 (~iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[194, 89])).
% 0.18/0.41 tff(196,plain,
% 0.18/0.41 (ic(uri_rdfs_Class) <=> ic(uri_rdfs_Class)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(197,axiom,(ic(uri_rdfs_Class)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_classrdfs_type')).
% 0.18/0.41 tff(198,plain,
% 0.18/0.41 (ic(uri_rdfs_Class)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.18/0.41 tff(199,plain,
% 0.18/0.41 ((~(iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))) | iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(200,plain,
% 0.18/0.41 ((~(iext(uri_owl_equivalentClass, uri_owl_Class, uri_rdfs_Class) | (~ic(uri_owl_Class)) | (~ic(uri_rdfs_Class)) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))))) | (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[199, 86, 198, 195])).
% 0.18/0.41 tff(201,plain,
% 0.18/0.41 (~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[200, 27])).
% 0.18/0.41 tff(202,plain,
% 0.18/0.41 ((icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(203,plain,
% 0.18/0.41 (icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.18/0.41 tff(204,plain,
% 0.18/0.41 (icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[203, 1])).
% 0.18/0.41 tff(205,plain,
% 0.18/0.41 (^[X: $i] : refl((icext(uri_rdfs_Class, X) <=> ic(X)) <=> (icext(uri_rdfs_Class, X) <=> ic(X)))),
% 0.18/0.41 inference(bind,[status(th)],[])).
% 0.18/0.41 tff(206,plain,
% 0.18/0.41 (![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))),
% 0.18/0.41 inference(quant_intro,[status(thm)],[205])).
% 0.18/0.41 tff(207,plain,
% 0.18/0.41 (![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(208,axiom,(![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_classrdfs_ext')).
% 0.18/0.41 tff(209,plain,
% 0.18/0.41 (![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.18/0.41 tff(210,plain,(
% 0.18/0.41 ![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))),
% 0.18/0.41 inference(skolemize,[status(sab)],[209])).
% 0.18/0.41 tff(211,plain,
% 0.18/0.41 (![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[210, 206])).
% 0.18/0.41 tff(212,plain,
% 0.18/0.41 ((~![X: $i] : (icext(uri_rdfs_Class, X) <=> ic(X))) | (icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(213,plain,
% 0.18/0.41 (icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[212, 211])).
% 0.18/0.41 tff(214,plain,
% 0.18/0.41 ((~(icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))) | icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | (~ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(215,plain,
% 0.18/0.41 (icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | (~ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[214, 213])).
% 0.18/0.41 tff(216,plain,
% 0.18/0.41 (~ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[215, 1])).
% 0.18/0.41 tff(217,plain,
% 0.18/0.41 ((~![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))) | (icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(quant_inst,[status(thm)],[])).
% 0.18/0.41 tff(218,plain,
% 0.18/0.41 (icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[217, 143])).
% 0.18/0.41 tff(219,plain,
% 0.18/0.41 ((~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))) | (~icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(220,plain,
% 0.18/0.41 ((~icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[219, 218])).
% 0.18/0.41 tff(221,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[220, 216, 204])).
% 0.18/0.41 tff(222,plain,(icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))), inference(lemma,lemma(discharge,[]))).
% 0.18/0.41 tff(223,plain,
% 0.18/0.41 ((icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | (~icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | (~icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(224,plain,
% 0.18/0.41 ((~icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | (~icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[223, 201])).
% 0.18/0.41 tff(225,plain,
% 0.18/0.41 (~icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[224, 222])).
% 0.18/0.41 tff(226,plain,
% 0.18/0.41 ((~(icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))) | (~icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(227,plain,
% 0.18/0.41 ((~icext(uri_rdfs_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))) | ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[226, 213])).
% 0.18/0.41 tff(228,plain,
% 0.18/0.41 (ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[227, 222])).
% 0.18/0.41 tff(229,plain,
% 0.18/0.41 ((~(icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) <=> ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))) | icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | (~ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(tautology,[status(thm)],[])).
% 0.18/0.41 tff(230,plain,
% 0.18/0.41 (icext(uri_owl_Class, tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)) | (~ic(tptp_fun_X_1(uri_rdfs_Class, uri_owl_Class)))),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[229, 218])).
% 0.18/0.41 tff(231,plain,
% 0.18/0.41 ($false),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[230, 228, 225])).
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 % E exiting
%------------------------------------------------------------------------------