TSTP Solution File: SWB032+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:32:03 EDT 2022
% Result : Theorem 0.17s 0.37s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sat Sep 3 20:00:50 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.17/0.33 Usage: tptp [options] [-file:]file
% 0.17/0.33 -h, -? prints this message.
% 0.17/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.17/0.33 -m, -model generate model.
% 0.17/0.33 -p, -proof generate proof.
% 0.17/0.33 -c, -core generate unsat core of named formulas.
% 0.17/0.33 -st, -statistics display statistics.
% 0.17/0.33 -t:timeout set timeout (in second).
% 0.17/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.17/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.17/0.33 -<param>:<value> configuration parameter and value.
% 0.17/0.33 -o:<output-file> file to place output in.
% 0.17/0.37 % SZS status Theorem
% 0.17/0.37 % SZS output start Proof
% 0.17/0.37 tff(icext_type, type, (
% 0.17/0.37 icext: ( $i * $i ) > $o)).
% 0.17/0.37 tff(tptp_fun_X_1_type, type, (
% 0.17/0.37 tptp_fun_X_1: ( $i * $i ) > $i)).
% 0.17/0.37 tff(uri_xsd_decimal_type, type, (
% 0.17/0.37 uri_xsd_decimal: $i)).
% 0.17/0.37 tff(uri_xsd_string_type, type, (
% 0.17/0.37 uri_xsd_string: $i)).
% 0.17/0.37 tff(uri_owl_real_type, type, (
% 0.17/0.37 uri_owl_real: $i)).
% 0.17/0.37 tff(uri_rdf_PlainLiteral_type, type, (
% 0.17/0.37 uri_rdf_PlainLiteral: $i)).
% 0.17/0.37 tff(ic_type, type, (
% 0.17/0.37 ic: $i > $o)).
% 0.17/0.37 tff(iext_type, type, (
% 0.17/0.37 iext: ( $i * $i * $i ) > $o)).
% 0.17/0.37 tff(uri_owl_disjointWith_type, type, (
% 0.17/0.37 uri_owl_disjointWith: $i)).
% 0.17/0.37 tff(idc_type, type, (
% 0.17/0.37 idc: $i > $o)).
% 0.17/0.37 tff(uri_xsd_integer_type, type, (
% 0.17/0.37 uri_xsd_integer: $i)).
% 0.17/0.37 tff(uri_rdfs_subClassOf_type, type, (
% 0.17/0.37 uri_rdfs_subClassOf: $i)).
% 0.17/0.37 tff(tptp_fun_X_0_type, type, (
% 0.17/0.37 tptp_fun_X_0: ( $i * $i ) > $i)).
% 0.17/0.37 tff(uri_owl_rational_type, type, (
% 0.17/0.37 uri_owl_rational: $i)).
% 0.17/0.37 tff(1,plain,
% 0.17/0.37 (^[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)))))))))))),
% 0.17/0.37 inference(bind,[status(th)],[])).
% 0.17/0.37 tff(2,plain,
% 0.17/0.37 (![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))))))))))),
% 0.17/0.37 inference(quant_intro,[status(thm)],[1])).
% 0.17/0.37 tff(3,plain,
% 0.17/0.37 (^[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))))))))))),
% 0.17/0.37 inference(bind,[status(th)],[])).
% 0.17/0.37 tff(4,plain,
% 0.17/0.37 (![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)))))))))),
% 0.17/0.37 inference(quant_intro,[status(thm)],[3])).
% 0.17/0.37 tff(5,plain,
% 0.17/0.37 (^[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))))))))))),
% 0.17/0.37 inference(bind,[status(th)],[])).
% 0.17/0.37 tff(6,plain,
% 0.17/0.37 (![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)))))))))),
% 0.17/0.37 inference(quant_intro,[status(thm)],[5])).
% 0.17/0.37 tff(7,plain,
% 0.17/0.37 (![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)))))))))),
% 0.17/0.37 inference(transitivity,[status(thm)],[6, 4])).
% 0.17/0.37 tff(8,plain,
% 0.17/0.37 (^[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)))))))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(9,plain,
% 0.17/0.38 (![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))))) <=> ![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)))))))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[8])).
% 0.17/0.38 tff(10,plain,
% 0.17/0.38 (^[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))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(11,plain,
% 0.17/0.38 (![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)))))))) <=> ![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)))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[10])).
% 0.17/0.38 tff(12,plain,
% 0.17/0.38 (![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)))))),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(13,plain,
% 0.17/0.38 (^[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))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(14,plain,
% 0.17/0.38 (![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)))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[13])).
% 0.17/0.38 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')).
% 0.17/0.38 tff(16,plain,
% 0.17/0.38 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.17/0.38 tff(17,plain,
% 0.17/0.38 (![C1: $i, C2: $i] : (iext(uri_owl_disjointWith, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (~(icext(C1, X) & icext(C2, X)))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.17/0.38 tff(18,plain,(
% 0.17/0.38 ![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))))))))),
% 0.17/0.38 inference(skolemize,[status(sab)],[17])).
% 0.17/0.38 tff(19,plain,
% 0.17/0.38 (![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)))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.17/0.38 tff(20,plain,
% 0.17/0.38 (![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)))))))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.17/0.38 tff(21,plain,
% 0.17/0.38 (![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)))))))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[20, 7])).
% 0.17/0.38 tff(22,plain,
% 0.17/0.38 (![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))))))))))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[21, 2])).
% 0.17/0.38 tff(23,plain,
% 0.17/0.38 ((~![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))))))))))),
% 0.17/0.38 inference(quant_inst,[status(thm)],[])).
% 0.17/0.38 tff(24,plain,
% 0.17/0.38 (~((~(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)))))))))),
% 0.17/0.38 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.17/0.38 tff(25,plain,
% 0.17/0.38 (((~(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))))))),
% 0.17/0.38 inference(tautology,[status(thm)],[])).
% 0.17/0.38 tff(26,plain,
% 0.17/0.38 (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)))))),
% 0.17/0.38 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.17/0.38 tff(27,plain,
% 0.17/0.38 (^[X: $i] : refl((ic(X) | (~idc(X))) <=> (ic(X) | (~idc(X))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(28,plain,
% 0.17/0.38 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[27])).
% 0.17/0.38 tff(29,plain,
% 0.17/0.38 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(30,plain,
% 0.17/0.38 (^[X: $i] : rewrite((idc(X) => ic(X)) <=> (ic(X) | (~idc(X))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(31,plain,
% 0.17/0.38 (![X: $i] : (idc(X) => ic(X)) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[30])).
% 0.17/0.38 tff(32,axiom,(![X: $i] : (idc(X) => ic(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_parts_idc_cond_set')).
% 0.17/0.38 tff(33,plain,
% 0.17/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.17/0.38 tff(34,plain,
% 0.17/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.17/0.38 tff(35,plain,(
% 0.17/0.38 ![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(skolemize,[status(sab)],[34])).
% 0.17/0.38 tff(36,plain,
% 0.17/0.38 (![X: $i] : (ic(X) | (~idc(X)))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.17/0.38 tff(37,plain,
% 0.17/0.38 (idc(uri_xsd_decimal) <=> idc(uri_xsd_decimal)),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(38,axiom,(idc(uri_xsd_decimal)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_decimal_type')).
% 0.17/0.38 tff(39,plain,
% 0.17/0.38 (idc(uri_xsd_decimal)),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.17/0.38 tff(40,plain,
% 0.17/0.38 (((~![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)))),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(41,plain,
% 0.17/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal)))),
% 0.17/0.38 inference(quant_inst,[status(thm)],[])).
% 0.17/0.38 tff(42,plain,
% 0.17/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_decimal) | (~idc(uri_xsd_decimal))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.17/0.38 tff(43,plain,
% 0.17/0.38 (ic(uri_xsd_decimal)),
% 0.17/0.38 inference(unit_resolution,[status(thm)],[42, 39, 36])).
% 0.17/0.38 tff(44,plain,
% 0.17/0.38 (idc(uri_xsd_string) <=> idc(uri_xsd_string)),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(45,axiom,(idc(uri_xsd_string)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_string_type')).
% 0.17/0.38 tff(46,plain,
% 0.17/0.38 (idc(uri_xsd_string)),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.17/0.38 tff(47,plain,
% 0.17/0.38 (((~![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)))),
% 0.17/0.38 inference(rewrite,[status(thm)],[])).
% 0.17/0.38 tff(48,plain,
% 0.17/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_string) | (~idc(uri_xsd_string)))),
% 0.17/0.38 inference(quant_inst,[status(thm)],[])).
% 0.17/0.38 tff(49,plain,
% 0.17/0.38 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_string) | (~idc(uri_xsd_string))),
% 0.17/0.38 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.17/0.38 tff(50,plain,
% 0.17/0.38 (ic(uri_xsd_string)),
% 0.17/0.38 inference(unit_resolution,[status(thm)],[49, 46, 36])).
% 0.17/0.38 tff(51,assumption,((~(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)))))))), introduced(assumption)).
% 0.17/0.38 tff(52,plain,
% 0.17/0.38 (^[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))))))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(53,plain,
% 0.17/0.38 (![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)))))))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[52])).
% 0.17/0.38 tff(54,plain,
% 0.17/0.38 (^[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)))))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(55,plain,
% 0.17/0.38 (![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))))))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[54])).
% 0.17/0.38 tff(56,plain,
% 0.17/0.38 (^[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)))))))))),
% 0.17/0.38 inference(bind,[status(th)],[])).
% 0.17/0.38 tff(57,plain,
% 0.17/0.38 (![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))))))))),
% 0.17/0.38 inference(quant_intro,[status(thm)],[56])).
% 0.17/0.38 tff(58,plain,
% 0.17/0.38 (![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))))))))),
% 0.17/0.38 inference(transitivity,[status(thm)],[57, 55])).
% 0.17/0.38 tff(59,plain,
% 0.17/0.38 (^[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))))))))))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(60,plain,
% 0.17/0.39 (![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)))))) <=> ![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))))))))),
% 0.17/0.39 inference(quant_intro,[status(thm)],[59])).
% 0.17/0.39 tff(61,plain,
% 0.17/0.39 (^[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)))))))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(62,plain,
% 0.17/0.39 (![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))))))) <=> ![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))))))),
% 0.17/0.39 inference(quant_intro,[status(thm)],[61])).
% 0.17/0.39 tff(63,plain,
% 0.17/0.39 (![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))))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(64,plain,
% 0.17/0.39 (^[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)))))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(65,plain,
% 0.17/0.39 (![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))))),
% 0.17/0.39 inference(quant_intro,[status(thm)],[64])).
% 0.17/0.39 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')).
% 0.17/0.39 tff(67,plain,
% 0.17/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.17/0.39 tff(68,plain,
% 0.17/0.39 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.17/0.39 tff(69,plain,(
% 0.17/0.39 ![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)))))))),
% 0.17/0.39 inference(skolemize,[status(sab)],[68])).
% 0.17/0.39 tff(70,plain,
% 0.17/0.39 (![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))))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[69, 62])).
% 0.17/0.39 tff(71,plain,
% 0.17/0.39 (![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))))))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[70, 60])).
% 0.17/0.39 tff(72,plain,
% 0.17/0.39 (![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))))))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[71, 58])).
% 0.17/0.39 tff(73,plain,
% 0.17/0.39 (![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)))))))))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[72, 53])).
% 0.17/0.39 tff(74,plain,
% 0.17/0.39 ((~![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: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))))))))),
% 0.17/0.39 inference(quant_inst,[status(thm)],[])).
% 0.17/0.39 tff(75,plain,
% 0.17/0.39 ($false),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[74, 73, 51])).
% 0.17/0.39 tff(76,plain,(~((~(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))))))))), inference(lemma,lemma(discharge,[]))).
% 0.17/0.39 tff(77,plain,
% 0.17/0.39 (((~(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_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)))))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(78,plain,
% 0.17/0.39 (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))))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[77, 76])).
% 0.17/0.39 tff(79,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)).
% 0.17/0.39 tff(80,plain,
% 0.17/0.39 (((~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)))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(81,plain,
% 0.17/0.39 (~icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.17/0.39 tff(82,plain,
% 0.17/0.39 (((~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))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(83,plain,
% 0.17/0.39 (icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[82, 79])).
% 0.17/0.39 tff(84,plain,
% 0.17/0.39 (^[X: $i] : refl(((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(85,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(quant_intro,[status(thm)],[84])).
% 0.17/0.39 tff(86,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(87,plain,
% 0.17/0.39 (^[X: $i] : rewrite((icext(uri_xsd_integer, X) => icext(uri_xsd_decimal, X)) <=> ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X)))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(88,plain,
% 0.17/0.39 (![X: $i] : (icext(uri_xsd_integer, X) => icext(uri_xsd_decimal, X)) <=> ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(quant_intro,[status(thm)],[87])).
% 0.17/0.39 tff(89,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')).
% 0.17/0.39 tff(90,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.17/0.39 tff(91,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[90, 86])).
% 0.17/0.39 tff(92,plain,(
% 0.17/0.39 ![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(skolemize,[status(sab)],[91])).
% 0.17/0.39 tff(93,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[92, 85])).
% 0.17/0.39 tff(94,plain,
% 0.17/0.39 (((~![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)))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(95,plain,
% 0.17/0.39 ((~![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)))),
% 0.17/0.39 inference(quant_inst,[status(thm)],[])).
% 0.17/0.39 tff(96,plain,
% 0.17/0.39 ((~![X: $i] : ((~icext(uri_xsd_integer, X)) | icext(uri_xsd_decimal, X))) | (~icext(uri_xsd_integer, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))) | icext(uri_xsd_decimal, tptp_fun_X_0(uri_xsd_decimal, uri_xsd_integer))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.17/0.39 tff(97,plain,
% 0.17/0.39 ($false),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[96, 93, 83, 81])).
% 0.17/0.39 tff(98,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,[]))).
% 0.17/0.39 tff(99,plain,
% 0.17/0.39 (idc(uri_xsd_integer) <=> idc(uri_xsd_integer)),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(100,axiom,(idc(uri_xsd_integer)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_dat_dtype_integer_type')).
% 0.17/0.39 tff(101,plain,
% 0.17/0.39 (idc(uri_xsd_integer)),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.17/0.39 tff(102,plain,
% 0.17/0.39 (((~![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)))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(103,plain,
% 0.17/0.39 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_xsd_integer) | (~idc(uri_xsd_integer)))),
% 0.17/0.39 inference(quant_inst,[status(thm)],[])).
% 0.17/0.39 tff(104,plain,
% 0.17/0.39 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_xsd_integer) | (~idc(uri_xsd_integer))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.17/0.39 tff(105,plain,
% 0.17/0.39 (ic(uri_xsd_integer)),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[104, 101, 36])).
% 0.17/0.39 tff(106,plain,
% 0.17/0.39 ((~(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)) | (~((~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))))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(107,plain,
% 0.17/0.39 ((~(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)),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[106, 43, 105, 98])).
% 0.17/0.39 tff(108,plain,
% 0.17/0.39 (iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal)),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[107, 78])).
% 0.17/0.39 tff(109,plain,
% 0.17/0.39 ((~(~((~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)))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(110,plain,
% 0.17/0.39 ((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))))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(111,plain,
% 0.17/0.39 ((~(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)))))),
% 0.17/0.39 inference(monotonicity,[status(thm)],[110])).
% 0.17/0.39 tff(112,plain,
% 0.17/0.39 ((~(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)))),
% 0.17/0.39 inference(transitivity,[status(thm)],[111, 109])).
% 0.17/0.39 tff(113,plain,
% 0.17/0.39 ((~(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)))),
% 0.17/0.39 inference(rewrite,[status(thm)],[])).
% 0.17/0.39 tff(114,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')).
% 0.17/0.39 tff(115,plain,
% 0.17/0.39 (~(iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string) & iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.17/0.39 tff(116,plain,
% 0.17/0.39 ((~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)) | (~iext(uri_rdfs_subClassOf, uri_xsd_integer, uri_xsd_decimal))),
% 0.17/0.39 inference(modus_ponens,[status(thm)],[115, 112])).
% 0.17/0.39 tff(117,plain,
% 0.17/0.39 (~iext(uri_owl_disjointWith, uri_xsd_decimal, uri_xsd_string)),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[116, 108])).
% 0.17/0.39 tff(118,plain,
% 0.17/0.39 ((~(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)))))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(119,plain,
% 0.17/0.39 ((~(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)))))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[118, 117, 50, 43])).
% 0.17/0.39 tff(120,plain,
% 0.17/0.39 (~((~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))))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[119, 26])).
% 0.17/0.39 tff(121,plain,
% 0.17/0.39 (((~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))),
% 0.17/0.39 inference(tautology,[status(thm)],[])).
% 0.17/0.39 tff(122,plain,
% 0.17/0.39 (icext(uri_xsd_string, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.39 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.17/0.39 tff(123,plain,
% 0.17/0.39 (^[X: $i] : refl(((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)))),
% 0.17/0.39 inference(bind,[status(th)],[])).
% 0.17/0.39 tff(124,plain,
% 0.17/0.39 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[123])).
% 0.17/0.40 tff(125,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(126,plain,
% 0.17/0.40 (^[X: $i] : rewrite((icext(uri_xsd_string, X) => icext(uri_rdf_PlainLiteral, X)) <=> ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(127,plain,
% 0.17/0.40 (![X: $i] : (icext(uri_xsd_string, X) => icext(uri_rdf_PlainLiteral, X)) <=> ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[126])).
% 0.17/0.40 tff(128,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')).
% 0.17/0.40 tff(129,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.17/0.40 tff(130,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[129, 125])).
% 0.17/0.40 tff(131,plain,(
% 0.17/0.40 ![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(skolemize,[status(sab)],[130])).
% 0.17/0.40 tff(132,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_string, X)) | icext(uri_rdf_PlainLiteral, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[131, 124])).
% 0.17/0.40 tff(133,plain,
% 0.17/0.40 (((~![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)))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(134,plain,
% 0.17/0.40 ((~![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)))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(135,plain,
% 0.17/0.40 ((~![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))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[134, 133])).
% 0.17/0.40 tff(136,plain,
% 0.17/0.40 (icext(uri_rdf_PlainLiteral, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[135, 132, 122])).
% 0.17/0.40 tff(137,plain,
% 0.17/0.40 (^[X: $i] : refl(((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))) <=> ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(138,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X))) <=> ![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[137])).
% 0.17/0.40 tff(139,plain,
% 0.17/0.40 (^[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)))))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(140,plain,
% 0.17/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> ![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[139])).
% 0.17/0.40 tff(141,plain,
% 0.17/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X))) <=> ![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(142,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')).
% 0.17/0.40 tff(143,plain,
% 0.17/0.40 (![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.17/0.40 tff(144,plain,(
% 0.17/0.40 ![X: $i] : (~(icext(uri_rdf_PlainLiteral, X) & icext(uri_owl_real, X)))),
% 0.17/0.40 inference(skolemize,[status(sab)],[143])).
% 0.17/0.40 tff(145,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[144, 140])).
% 0.17/0.40 tff(146,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_rdf_PlainLiteral, X)) | (~icext(uri_owl_real, X)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[145, 138])).
% 0.17/0.40 tff(147,plain,
% 0.17/0.40 (((~![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))))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(148,plain,
% 0.17/0.40 ((~![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))))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(149,plain,
% 0.17/0.40 ((~![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)))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.17/0.40 tff(150,plain,
% 0.17/0.40 (~icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[149, 146, 136])).
% 0.17/0.40 tff(151,plain,
% 0.17/0.40 (((~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))),
% 0.17/0.40 inference(tautology,[status(thm)],[])).
% 0.17/0.40 tff(152,plain,
% 0.17/0.40 (icext(uri_xsd_decimal, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[151, 120])).
% 0.17/0.40 tff(153,plain,
% 0.17/0.40 (^[X: $i] : refl(((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(154,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[153])).
% 0.17/0.40 tff(155,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(156,plain,
% 0.17/0.40 (^[X: $i] : rewrite((icext(uri_xsd_decimal, X) => icext(uri_owl_rational, X)) <=> ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(157,plain,
% 0.17/0.40 (![X: $i] : (icext(uri_xsd_decimal, X) => icext(uri_owl_rational, X)) <=> ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[156])).
% 0.17/0.40 tff(158,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')).
% 0.17/0.40 tff(159,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.17/0.40 tff(160,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[159, 155])).
% 0.17/0.40 tff(161,plain,(
% 0.17/0.40 ![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(skolemize,[status(sab)],[160])).
% 0.17/0.40 tff(162,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_xsd_decimal, X)) | icext(uri_owl_rational, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[161, 154])).
% 0.17/0.40 tff(163,plain,
% 0.17/0.40 (((~![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)))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(164,plain,
% 0.17/0.40 ((~![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)))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(165,plain,
% 0.17/0.40 ((~![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))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[164, 163])).
% 0.17/0.40 tff(166,plain,
% 0.17/0.40 (icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[165, 162, 152])).
% 0.17/0.40 tff(167,plain,
% 0.17/0.40 (^[X: $i] : refl(((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(168,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[167])).
% 0.17/0.40 tff(169,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(170,plain,
% 0.17/0.40 (^[X: $i] : rewrite((icext(uri_owl_rational, X) => icext(uri_owl_real, X)) <=> ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X)))),
% 0.17/0.40 inference(bind,[status(th)],[])).
% 0.17/0.40 tff(171,plain,
% 0.17/0.40 (![X: $i] : (icext(uri_owl_rational, X) => icext(uri_owl_real, X)) <=> ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(quant_intro,[status(thm)],[170])).
% 0.17/0.40 tff(172,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')).
% 0.17/0.40 tff(173,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.17/0.40 tff(174,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[173, 169])).
% 0.17/0.40 tff(175,plain,(
% 0.17/0.40 ![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(skolemize,[status(sab)],[174])).
% 0.17/0.40 tff(176,plain,
% 0.17/0.40 (![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[175, 168])).
% 0.17/0.40 tff(177,plain,
% 0.17/0.40 (((~![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)))),
% 0.17/0.40 inference(rewrite,[status(thm)],[])).
% 0.17/0.40 tff(178,plain,
% 0.17/0.40 ((~![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)))),
% 0.17/0.40 inference(quant_inst,[status(thm)],[])).
% 0.17/0.40 tff(179,plain,
% 0.17/0.40 ((~![X: $i] : ((~icext(uri_owl_rational, X)) | icext(uri_owl_real, X))) | (~icext(uri_owl_rational, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))) | icext(uri_owl_real, tptp_fun_X_1(uri_xsd_string, uri_xsd_decimal))),
% 0.17/0.40 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.17/0.40 tff(180,plain,
% 0.17/0.40 ($false),
% 0.17/0.40 inference(unit_resolution,[status(thm)],[179, 176, 166, 150])).
% 0.17/0.40 % SZS output end Proof
%------------------------------------------------------------------------------