%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB032+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:29:43 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB032+2 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n002.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 07:55:16 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_xsd_decimal_type, type, (
% 0.11/0.37 uri_xsd_decimal: $i)).
% 0.11/0.37 tff(uri_xsd_string_type, type, (
% 0.11/0.37 uri_xsd_string: $i)).
% 0.11/0.37 tff(uri_owl_real_type, type, (
% 0.11/0.37 uri_owl_real: $i)).
% 0.11/0.37 tff(uri_rdf_PlainLiteral_type, type, (
% 0.11/0.37 uri_rdf_PlainLiteral: $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_disjointWith_type, type, (
% 0.11/0.37 uri_owl_disjointWith: $i)).
% 0.11/0.37 tff(idc_type, type, (
% 0.11/0.37 idc: $i > $o)).
% 0.11/0.37 tff(uri_xsd_integer_type, type, (
% 0.11/0.37 uri_xsd_integer: $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(uri_owl_rational_type, type, (
% 0.11/0.37 uri_owl_rational: $i)).
% 0.11/0.37 tff(1,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, 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_disjointWith, 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(2,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X))))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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(4,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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)],[3])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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(6,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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)],[5])).
% 0.11/0.37 tff(7,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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)],[6, 4])).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ((~iext(uri_owl_disjointWith, 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_disjointWith, 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_disjointWith, 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_disjointWith, 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_disjointWith, 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_disjointWith, 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_disjointWith, 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_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X))))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X))))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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(9,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, 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)],[8])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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(11,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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)],[10])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, 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(13,plain,
% 0.11/0.37 (^[C1: $i, C2: $i] : rewrite((iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> (iext(uri_owl_disjointWith, 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(14,plain,
% 0.11/0.37 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[13])).
% 0.11/0.37 tff(15,axiom,(![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_eqdis_disjointwith')).
% 0.11/0.38 tff(16,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.11/0.38 tff(17,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.11/0.38 tff(18,plain,(
% 0.11/0.38 ![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, 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(skolemize,[status(sab)],[17])).
% 0.11/0.38 tff(19,plain,
% 0.11/0.38 (![C1: $i, C2: $i] : (((~iext(uri_owl_disjointWith, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X))))) & (iext(uri_owl_disjointWith, C1, C2) | (~ic(C1)) | (~ic(C2)) | (icext(C1, tptp_fun_X_1(C2, C1)) & icext(C2, tptp_fun_X_1(C2, C1)))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | (~icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X)))))))) | (~(iext(uri_owl_disjointWith, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_1(C2, C1))) | (~icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[20, 7])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X))))))))))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[21, 2])).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_disjointWith, 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_disjointWith, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | (~icext(C2, X))))))))))) | (~((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))) | (~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~((~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~![X: $i] : ((~icext(uri_xsd_decimal, X)) | (~icext(uri_xsd_string, X))))))))))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (~((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))) | (~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~((~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~![X: $i] : ((~icext(uri_xsd_decimal, X)) | (~icext(uri_xsd_string, X)))))))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 (((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))) | (~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~((~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~![X: $i] : ((~icext(uri_xsd_decimal, X)) | (~icext(uri_xsd_string, X))))))))) | (iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))),
% 0.20/0.38 inference(tautology,[status(thm)],[])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))))),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.20/0.38 tff(27,plain,
% 0.20/0.38 (^[X: $i] : refl((ic(X) | (~idc(X))) <=> (ic(X) | (~idc(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(28,plain,
% 0.20/0.38 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.20/0.38 tff(29,plain,
% 0.20/0.38 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (^[X: $i] : rewrite((idc(X) => ic(X)) <=> (ic(X) | (~idc(X))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 (![X: $i] : (idc(X) => ic(X)) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[30])).
% 0.20/0.38 tff(32,axiom,(![X: $i] : (idc(X) => ic(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_parts_idc_cond_set')).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.20/0.38 tff(35,plain,(
% 0.20/0.38 ![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(skolemize,[status(sab)],[34])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 (idc(uri_xsd_decimal) <=> idc(uri_xsd_decimal)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(38,axiom,(idc(uri_xsd_decimal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_decimal_type')).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (idc(uri_xsd_decimal)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal)))) <=> ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.20/0.38 tff(43,plain,
% 0.20/0.38 (ic(uri_xsd_decimal)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[42, 39, 36])).
% 0.20/0.38 tff(44,plain,
% 0.20/0.38 (idc(uri_xsd_string) <=> idc(uri_xsd_string)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(45,axiom,(idc(uri_xsd_string)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_string_type')).
% 0.20/0.38 tff(46,plain,
% 0.20/0.38 (idc(uri_xsd_string)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 (((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_string) | (~idc(uri_xsd_string)))) <=> ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_string) | (~idc(uri_xsd_string)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_string) | (~idc(uri_xsd_string)))),
% 0.20/0.38 inference(quant_inst,[status(thm)],[])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_string) | (~idc(uri_xsd_string))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (ic(uri_xsd_string)),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[49, 46, 36])).
% 0.20/0.38 tff(51,assumption,((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer))))))), introduced(assumption)).
% 0.20/0.38 tff(52,plain,
% 0.20/0.38 (^[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))))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(53,plain,
% 0.20/0.38 (![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)))))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[52])).
% 0.20/0.38 tff(54,plain,
% 0.20/0.38 (^[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)))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(55,plain,
% 0.20/0.38 (![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))))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[54])).
% 0.20/0.38 tff(56,plain,
% 0.20/0.38 (^[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)))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(57,plain,
% 0.20/0.38 (![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))))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[56])).
% 0.20/0.38 tff(58,plain,
% 0.20/0.38 (![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))))))))),
% 0.20/0.38 inference(transitivity,[status(thm)],[57, 55])).
% 0.20/0.38 tff(59,plain,
% 0.20/0.38 (^[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))))))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(60,plain,
% 0.20/0.38 (![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))))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[59])).
% 0.20/0.38 tff(61,plain,
% 0.20/0.38 (^[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)))))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(62,plain,
% 0.20/0.38 (![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))))))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[61])).
% 0.20/0.38 tff(63,plain,
% 0.20/0.38 (![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))))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(64,plain,
% 0.20/0.38 (^[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)))))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(65,plain,
% 0.20/0.39 (![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))))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[64])).
% 0.20/0.39 tff(66,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')).
% 0.20/0.39 tff(67,plain,
% 0.20/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.20/0.39 tff(68,plain,
% 0.20/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.20/0.39 tff(69,plain,(
% 0.20/0.39 ![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)))))))),
% 0.20/0.39 inference(skolemize,[status(sab)],[68])).
% 0.20/0.39 tff(70,plain,
% 0.20/0.39 (![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))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.20/0.39 tff(71,plain,
% 0.20/0.39 (![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))))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[70, 60])).
% 0.20/0.39 tff(72,plain,
% 0.20/0.39 (![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))))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[71, 58])).
% 0.20/0.39 tff(73,plain,
% 0.20/0.39 (![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)))))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[72, 53])).
% 0.20/0.39 tff(74,plain,
% 0.20/0.39 (((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer))))))))) <=> ((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)))))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(75,plain,
% 0.20/0.39 ((~((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))))))))) <=> (~((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer))))))))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(76,plain,
% 0.20/0.39 (((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, 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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)))))))))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[75])).
% 0.20/0.39 tff(77,plain,
% 0.20/0.39 (((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, 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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)))))))))),
% 0.20/0.39 inference(transitivity,[status(thm)],[76, 74])).
% 0.20/0.39 tff(78,plain,
% 0.20/0.39 ((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~ic(uri_xsd_integer)) | (~ic(uri_xsd_decimal)) | (~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))))))))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(79,plain,
% 0.20/0.39 ((~![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_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer))))))))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.20/0.39 tff(80,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[79, 73, 51])).
% 0.20/0.39 tff(81,plain,(~((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(82,plain,
% 0.20/0.39 (((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | (~((~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) | (~((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer))))))) | (iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(83,plain,
% 0.20/0.39 (iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.20/0.39 tff(84,assumption,(~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))), introduced(assumption)).
% 0.20/0.39 tff(85,plain,
% 0.20/0.39 (((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | (~icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(86,plain,
% 0.20/0.39 (~icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[85, 84])).
% 0.20/0.39 tff(87,plain,
% 0.20/0.39 (((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(88,plain,
% 0.20/0.39 (icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[87, 84])).
% 0.20/0.39 tff(89,plain,
% 0.20/0.39 (^[X: $i] : refl(((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(90,plain,
% 0.20/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[89])).
% 0.20/0.39 tff(91,plain,
% 0.20/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(92,plain,
% 0.20/0.39 (^[X: $i] : rewrite((icext(uri_xsd_integer, X) => icext(uri_xsd_decimal, X)) <=> ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))),
% 0.20/0.39 inference(bind,[status(th)],[])).
% 0.20/0.39 tff(93,plain,
% 0.20/0.39 (![X: $i] : (icext(uri_xsd_integer, X) => icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(quant_intro,[status(thm)],[92])).
% 0.20/0.39 tff(94,axiom,(![X: $i] : (icext(uri_xsd_integer, X) => icext(uri_xsd_decimal, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_relation_subtype_integer_decimal')).
% 0.20/0.39 tff(95,plain,
% 0.20/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.20/0.39 tff(96,plain,
% 0.20/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[95, 91])).
% 0.20/0.39 tff(97,plain,(
% 0.20/0.39 ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(skolemize,[status(sab)],[96])).
% 0.20/0.39 tff(98,plain,
% 0.20/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[97, 90])).
% 0.20/0.39 tff(99,plain,
% 0.20/0.39 (((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | ((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))) <=> ((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(100,plain,
% 0.20/0.39 ((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | ((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(101,plain,
% 0.20/0.39 ((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.20/0.39 tff(102,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[101, 98, 88, 86])).
% 0.20/0.39 tff(103,plain,((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(104,plain,
% 0.20/0.39 (idc(uri_xsd_integer) <=> idc(uri_xsd_integer)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(105,axiom,(idc(uri_xsd_integer)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_integer_type')).
% 0.20/0.40 tff(106,plain,
% 0.20/0.40 (idc(uri_xsd_integer)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.20/0.40 tff(107,plain,
% 0.20/0.40 (((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_integer) | (~idc(uri_xsd_integer)))) <=> ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_integer) | (~idc(uri_xsd_integer)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(108,plain,
% 0.20/0.40 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_integer) | (~idc(uri_xsd_integer)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(109,plain,
% 0.20/0.40 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_integer) | (~idc(uri_xsd_integer))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.20/0.40 tff(110,plain,
% 0.20/0.40 (ic(uri_xsd_integer)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[109, 106, 36])).
% 0.20/0.40 tff(111,plain,
% 0.20/0.40 ((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(112,plain,
% 0.20/0.40 ((~(iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_integer)) | (~((~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer)))))) | iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[111, 43, 110, 103])).
% 0.20/0.40 tff(113,plain,
% 0.20/0.40 (iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[112, 83])).
% 0.20/0.40 tff(114,plain,
% 0.20/0.40 ((~(~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))))) <=> ((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(115,plain,
% 0.20/0.40 ((iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)) <=> (~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(116,plain,
% 0.20/0.40 ((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))) <=> (~(~((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)))))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[115])).
% 0.20/0.40 tff(117,plain,
% 0.20/0.40 ((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))) <=> ((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)))),
% 0.20/0.40 inference(transitivity,[status(thm)],[116, 114])).
% 0.20/0.40 tff(118,plain,
% 0.20/0.40 ((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))) <=> (~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(119,axiom,(~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_conclusion_fullish_032_Datatype_Relationships')).
% 0.20/0.40 tff(120,plain,
% 0.20/0.40 (~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.20/0.40 tff(121,plain,
% 0.20/0.40 ((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[120, 117])).
% 0.20/0.40 tff(122,plain,
% 0.20/0.40 (~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[121, 113])).
% 0.20/0.40 tff(123,plain,
% 0.20/0.40 ((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))) | iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(124,plain,
% 0.20/0.40 ((~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) | (~ic(uri_xsd_decimal)) | (~ic(uri_xsd_string)) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))))) | (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[123, 122, 50, 43])).
% 0.20/0.40 tff(125,plain,
% 0.20/0.40 (~((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[124, 26])).
% 0.20/0.40 tff(126,plain,
% 0.20/0.40 (((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))) | icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(127,plain,
% 0.20/0.40 (icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[126, 125])).
% 0.20/0.40 tff(128,plain,
% 0.20/0.40 (^[X: $i] : refl(((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(129,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[128])).
% 0.20/0.40 tff(130,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(131,plain,
% 0.20/0.40 (^[X: $i] : rewrite((icext(uri_xsd_string, X) => icext(uri_rdf_PlainLiteral, X)) <=> ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(132,plain,
% 0.20/0.40 (![X: $i] : (icext(uri_xsd_string, X) => icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[131])).
% 0.20/0.40 tff(133,axiom,(![X: $i] : (icext(uri_xsd_string, X) => icext(uri_rdf_PlainLiteral, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_relation_subtype_string_plainliteral')).
% 0.20/0.40 tff(134,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.20/0.40 tff(135,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[134, 130])).
% 0.20/0.40 tff(136,plain,(
% 0.20/0.40 ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(skolemize,[status(sab)],[135])).
% 0.20/0.40 tff(137,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[136, 129])).
% 0.20/0.40 tff(138,plain,
% 0.20/0.40 (((~![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))) | ((~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))) <=> ((~![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(139,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))) | ((~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(140,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.20/0.40 tff(141,plain,
% 0.20/0.40 (icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[140, 137, 127])).
% 0.20/0.40 tff(142,plain,
% 0.20/0.40 (^[X: $i] : refl(((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))) <=> ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(143,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))) <=> ![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[142])).
% 0.20/0.40 tff(144,plain,
% 0.20/0.40 (^[X: $i] : trans(monotonicity(rewrite((icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)) <=> (~((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))))), ((~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> (~(~((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))))))), rewrite((~(~((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))))) <=> ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))), ((~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(145,plain,
% 0.20/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> ![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[144])).
% 0.20/0.40 tff(146,plain,
% 0.20/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> ![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(147,axiom,(![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_relation_disjoint_plainliteral_real')).
% 0.20/0.40 tff(148,plain,
% 0.20/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.20/0.40 tff(149,plain,(
% 0.20/0.40 ![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.20/0.40 inference(skolemize,[status(sab)],[148])).
% 0.20/0.40 tff(150,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.20/0.40 tff(151,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.20/0.40 tff(152,plain,
% 0.20/0.40 (((~![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))) | ((~icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))) <=> ((~![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))) | (~icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(153,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))) | ((~icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(154,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))) | (~icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.20/0.40 tff(155,plain,
% 0.20/0.40 (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[154, 151, 141])).
% 0.20/0.40 tff(156,plain,
% 0.20/0.40 (((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | (~icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))) | icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(157,plain,
% 0.20/0.40 (icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[156, 125])).
% 0.20/0.40 tff(158,plain,
% 0.20/0.40 (^[X: $i] : refl(((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(159,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[158])).
% 0.20/0.40 tff(160,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(161,plain,
% 0.20/0.40 (^[X: $i] : rewrite((icext(uri_xsd_decimal, X) => icext(uri_owl_rational, X)) <=> ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(162,plain,
% 0.20/0.40 (![X: $i] : (icext(uri_xsd_decimal, X) => icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[161])).
% 0.20/0.40 tff(163,axiom,(![X: $i] : (icext(uri_xsd_decimal, X) => icext(uri_owl_rational, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_relation_subtype_decimal_rational')).
% 0.20/0.40 tff(164,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.20/0.40 tff(165,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[164, 160])).
% 0.20/0.40 tff(166,plain,(
% 0.20/0.40 ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(skolemize,[status(sab)],[165])).
% 0.20/0.40 tff(167,plain,
% 0.20/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[166, 159])).
% 0.20/0.40 tff(168,plain,
% 0.20/0.40 (((~![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))) | ((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))) <=> ((~![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))) | (~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(169,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))) | ((~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(170,plain,
% 0.20/0.40 ((~![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))) | (~icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.20/0.41 tff(171,plain,
% 0.20/0.41 (icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[170, 167, 157])).
% 0.20/0.41 tff(172,plain,
% 0.20/0.41 (^[X: $i] : refl(((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(173,plain,
% 0.20/0.41 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[172])).
% 0.20/0.41 tff(174,plain,
% 0.20/0.41 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(175,plain,
% 0.20/0.41 (^[X: $i] : rewrite((icext(uri_owl_rational, X) => icext(uri_owl_real, X)) <=> ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)))),
% 0.20/0.41 inference(bind,[status(th)],[])).
% 0.20/0.41 tff(176,plain,
% 0.20/0.41 (![X: $i] : (icext(uri_owl_rational, X) => icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(quant_intro,[status(thm)],[175])).
% 0.20/0.41 tff(177,axiom,(![X: $i] : (icext(uri_owl_rational, X) => icext(uri_owl_real, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_relation_subtype_rational_real')).
% 0.20/0.41 tff(178,plain,
% 0.20/0.41 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.20/0.41 tff(179,plain,
% 0.20/0.41 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.20/0.41 tff(180,plain,(
% 0.20/0.41 ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(skolemize,[status(sab)],[179])).
% 0.20/0.41 tff(181,plain,
% 0.20/0.41 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.20/0.41 tff(182,plain,
% 0.20/0.41 (((~![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))) | ((~icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))) <=> ((~![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))) | (~icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.41 inference(rewrite,[status(thm)],[])).
% 0.20/0.41 tff(183,plain,
% 0.20/0.41 ((~![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))) | ((~icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal)))),
% 0.20/0.41 inference(quant_inst,[status(thm)],[])).
% 0.20/0.41 tff(184,plain,
% 0.20/0.41 ((~![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))) | (~icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.20/0.41 tff(185,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[184, 181, 171, 155])).
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------