%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB062+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:29:46 AM UTC 2025
% Result : Theorem 0.54s 0.76s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB062+1 : TPTP v9.0.0. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 07:58:50 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.54/0.76 % SZS status Theorem
% 0.54/0.76 % SZS output start Proof
% 0.54/0.76 tff(uri_ex_s2_type, type, (
% 0.54/0.76 uri_ex_s2: $i)).
% 0.54/0.76 tff(uri_ex_s1_type, type, (
% 0.54/0.76 uri_ex_s1: $i)).
% 0.54/0.76 tff(tptp_fun_X_71_type, type, (
% 0.54/0.76 tptp_fun_X_71: ( $i * $i ) > $i)).
% 0.54/0.76 tff(uri_ex_p1_type, type, (
% 0.54/0.76 uri_ex_p1: $i)).
% 0.54/0.76 tff(uri_ex_p2_type, type, (
% 0.54/0.76 uri_ex_p2: $i)).
% 0.54/0.76 tff(icext_type, type, (
% 0.54/0.76 icext: ( $i * $i ) > $o)).
% 0.54/0.76 tff(uri_ex_x2_type, type, (
% 0.54/0.76 uri_ex_x2: $i)).
% 0.54/0.76 tff(ic_type, type, (
% 0.54/0.76 ic: $i > $o)).
% 0.54/0.76 tff(iext_type, type, (
% 0.54/0.76 iext: ( $i * $i * $i ) > $o)).
% 0.54/0.76 tff(tptp_fun_X1_143_type, type, (
% 0.54/0.76 tptp_fun_X1_143: $i)).
% 0.54/0.76 tff(uri_owl_oneOf_type, type, (
% 0.54/0.76 uri_owl_oneOf: $i)).
% 0.54/0.76 tff(tptp_fun_X_8_type, type, (
% 0.54/0.76 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.54/0.76 tff(uri_rdf_nil_type, type, (
% 0.54/0.76 uri_rdf_nil: $i)).
% 0.54/0.76 tff(uri_rdf_rest_type, type, (
% 0.54/0.76 uri_rdf_rest: $i)).
% 0.54/0.76 tff(tptp_fun_X2_142_type, type, (
% 0.54/0.76 tptp_fun_X2_142: $i)).
% 0.54/0.76 tff(uri_rdf_first_type, type, (
% 0.54/0.76 uri_rdf_first: $i)).
% 0.54/0.76 tff(uri_owl_differentFrom_type, type, (
% 0.54/0.76 uri_owl_differentFrom: $i)).
% 0.54/0.76 tff(uri_ex_o1_type, type, (
% 0.54/0.76 uri_ex_o1: $i)).
% 0.54/0.76 tff(tptp_fun_X3_140_type, type, (
% 0.54/0.76 tptp_fun_X3_140: $i)).
% 0.54/0.76 tff(uri_ex_o2_type, type, (
% 0.54/0.76 uri_ex_o2: $i)).
% 0.54/0.76 tff(uri_ex_y2_type, type, (
% 0.54/0.76 uri_ex_y2: $i)).
% 0.54/0.76 tff(uri_ex_x1_type, type, (
% 0.54/0.76 uri_ex_x1: $i)).
% 0.54/0.76 tff(uri_rdfs_range_type, type, (
% 0.54/0.76 uri_rdfs_range: $i)).
% 0.54/0.76 tff(uri_rdfs_domain_type, type, (
% 0.54/0.76 uri_rdfs_domain: $i)).
% 0.54/0.76 tff(tptp_fun_X0_141_type, type, (
% 0.54/0.76 tptp_fun_X0_141: $i)).
% 0.54/0.76 tff(uri_ex_y1_type, type, (
% 0.54/0.76 uri_ex_y1: $i)).
% 0.54/0.76 tff(ip_type, type, (
% 0.54/0.76 ip: $i > $o)).
% 0.54/0.76 tff(tptp_fun_X_58_type, type, (
% 0.54/0.76 tptp_fun_X_58: ( $i * $i ) > $i)).
% 0.54/0.76 tff(tptp_fun_Y_57_type, type, (
% 0.54/0.76 tptp_fun_Y_57: ( $i * $i ) > $i)).
% 0.54/0.76 tff(tptp_fun_Y_70_type, type, (
% 0.54/0.76 tptp_fun_Y_70: ( $i * $i ) > $i)).
% 0.54/0.76 tff(uri_owl_propertyDisjointWith_type, type, (
% 0.54/0.76 uri_owl_propertyDisjointWith: $i)).
% 0.54/0.76 tff(1,plain,
% 0.54/0.76 (?[X1: $i, X2: $i, X0: $i, X3: $i] : (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1)) <=> ?[X1: $i, X2: $i, X0: $i, X3: $i] : (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))),
% 0.54/0.76 inference(rewrite,[status(thm)],[])).
% 0.54/0.76 tff(2,plain,
% 0.54/0.76 (^[X1: $i, X2: $i, X0: $i, X3: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2))), ((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0))), ((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0)))), (((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1))), (((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1)))), ((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil))), ((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil)))), (((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2))), (((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2)))), ((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil))), ((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil)))), (((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2))), (((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)))), ((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2))), ((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)))), (((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2))), (((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)))), ((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2))), ((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2)))), (((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3))), (((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3)))), ((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2))), ((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2)))), (((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil))), (((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil)))), ((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1))), ((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)))), (((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2))), (((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)))), ((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1))), ((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1)))), (((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil))), (((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil)))), ((((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1)) <=> ((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))), ((((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1)) <=> (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(3,plain,
% 0.61/0.79 (?[X1: $i, X2: $i, X0: $i, X3: $i] : (((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1)) <=> ?[X1: $i, X2: $i, X0: $i, X3: $i] : (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[2])).
% 0.61/0.79 tff(4,axiom,(?[X1: $i, X2: $i, X0: $i, X3: $i] : (((((((((((((((((((iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1)) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_y1, X0)) & iext(uri_rdf_first, X0, uri_ex_o1)) & iext(uri_rdf_rest, X0, uri_rdf_nil)) & iext(uri_rdf_first, X1, uri_ex_s2)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2)) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2)) & iext(uri_owl_oneOf, uri_ex_x1, X2)) & iext(uri_owl_oneOf, uri_ex_y2, X3)) & iext(uri_rdf_first, X3, uri_ex_o2)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) & iext(uri_rdf_first, X2, uri_ex_s1)) & iext(uri_rdf_rest, X2, uri_rdf_nil)) & iext(uri_owl_oneOf, uri_ex_x2, X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','premise_rdfbased_sem_eqdis_disprop_ext')).
% 0.61/0.79 tff(5,plain,
% 0.61/0.79 (?[X1: $i, X2: $i, X0: $i, X3: $i] : (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.61/0.79 tff(6,plain,
% 0.61/0.79 (?[X1: $i, X2: $i, X0: $i, X3: $i] : (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0) & iext(uri_rdf_first, X0, uri_ex_o1) & iext(uri_rdf_rest, X0, uri_rdf_nil) & iext(uri_rdf_first, X1, uri_ex_s2) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2) & iext(uri_owl_oneOf, uri_ex_y2, X3) & iext(uri_rdf_first, X3, uri_ex_o2) & iext(uri_rdf_rest, X3, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2, uri_ex_s1) & iext(uri_rdf_rest, X2, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.61/0.79 tff(7,plain,(
% 0.61/0.79 iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) & iext(uri_rdfs_range, uri_ex_p1, uri_ex_y1) & iext(uri_ex_p2, uri_ex_s2, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_y1, X0!141) & iext(uri_rdf_first, X0!141, uri_ex_o1) & iext(uri_rdf_rest, X0!141, uri_rdf_nil) & iext(uri_rdf_first, X1!143, uri_ex_s2) & iext(uri_rdf_rest, X1!143, uri_rdf_nil) & iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) & iext(uri_rdfs_range, uri_ex_p2, uri_ex_y2) & iext(uri_owl_differentFrom, uri_ex_o1, uri_ex_o2) & iext(uri_owl_oneOf, uri_ex_x1, X2!142) & iext(uri_owl_oneOf, uri_ex_y2, X3!140) & iext(uri_rdf_first, X3!140, uri_ex_o2) & iext(uri_rdf_rest, X3!140, uri_rdf_nil) & iext(uri_ex_p1, uri_ex_s1, uri_ex_o1) & iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2) & iext(uri_rdf_first, X2!142, uri_ex_s1) & iext(uri_rdf_rest, X2!142, uri_rdf_nil) & iext(uri_owl_oneOf, uri_ex_x2, X1!143)),
% 0.61/0.79 inference(skolemize,[status(sab)],[6])).
% 0.61/0.79 tff(8,plain,
% 0.61/0.79 (iext(uri_rdf_rest, X1!143, uri_rdf_nil)),
% 0.61/0.79 inference(and_elim,[status(thm)],[7])).
% 0.61/0.79 tff(9,plain,
% 0.61/0.79 (iext(uri_rdf_first, X1!143, uri_ex_s2)),
% 0.61/0.79 inference(and_elim,[status(thm)],[7])).
% 0.61/0.79 tff(10,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(11,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[10])).
% 0.61/0.79 tff(12,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : refl(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(13,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[12])).
% 0.61/0.79 tff(14,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(15,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[14])).
% 0.61/0.79 tff(16,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(transitivity,[status(thm)],[15, 13])).
% 0.61/0.79 tff(17,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) <=> (~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> (~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))))), rewrite((~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), trans(monotonicity(rewrite(((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> ((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))), trans(monotonicity(rewrite((~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))) <=> (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), rewrite((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))), rewrite((((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> (((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))), rewrite((((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(18,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[17])).
% 0.61/0.79 tff(19,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(20,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[19])).
% 0.61/0.79 tff(21,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.61/0.79 inference(rewrite,[status(thm)],[])).
% 0.61/0.79 tff(22,plain,
% 0.61/0.79 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(monotonicity(rewrite((ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))), ((iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))))),
% 0.61/0.79 inference(bind,[status(th)],[])).
% 0.61/0.79 tff(23,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.61/0.79 inference(quant_intro,[status(thm)],[22])).
% 0.61/0.79 tff(24,axiom,(![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_enum_class_001')).
% 0.61/0.79 tff(25,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.61/0.79 tff(26,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.61/0.79 tff(27,plain,(
% 0.61/0.79 ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.61/0.79 inference(skolemize,[status(sab)],[26])).
% 0.61/0.79 tff(28,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.61/0.79 tff(29,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.61/0.79 tff(30,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.61/0.79 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.61/0.79 tff(31,plain,
% 0.61/0.79 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.64/0.80 tff(32,plain,
% 0.64/0.80 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!143, uri_ex_s2)) | (~iext(uri_rdf_rest, X1!143, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!143, uri_ex_s2)) | (~iext(uri_rdf_rest, X1!143, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))))))),
% 0.64/0.80 inference(rewrite,[status(thm)],[])).
% 0.64/0.80 tff(33,plain,
% 0.64/0.80 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!143, uri_ex_s2)) | (~iext(uri_rdf_rest, X1!143, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))))))),
% 0.64/0.80 inference(quant_inst,[status(thm)],[])).
% 0.64/0.80 tff(34,plain,
% 0.64/0.80 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!143, uri_ex_s2)) | (~iext(uri_rdf_rest, X1!143, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.64/0.80 tff(35,plain,
% 0.64/0.80 (~((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))))),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.64/0.80 tff(36,plain,
% 0.64/0.80 (((~(iext(uri_owl_oneOf, uri_ex_x2, X1!143) | (~ic(uri_ex_x2)) | (~(icext(uri_ex_x2, tptp_fun_X_8(uri_ex_s2, uri_ex_x2)) <=> (tptp_fun_X_8(uri_ex_s2, uri_ex_x2) = uri_ex_s2))))) | (~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))))))) | ((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))),
% 0.64/0.80 inference(tautology,[status(thm)],[])).
% 0.64/0.80 tff(37,plain,
% 0.64/0.80 ((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))))),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.64/0.80 tff(38,plain,
% 0.64/0.80 (iext(uri_owl_oneOf, uri_ex_x2, X1!143)),
% 0.64/0.80 inference(and_elim,[status(thm)],[7])).
% 0.64/0.80 tff(39,plain,
% 0.64/0.80 ((~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))) | (~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))))),
% 0.64/0.80 inference(tautology,[status(thm)],[])).
% 0.64/0.80 tff(40,plain,
% 0.64/0.80 ((~((~iext(uri_owl_oneOf, uri_ex_x2, X1!143)) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))))) | (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))))),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.64/0.80 tff(41,plain,
% 0.64/0.80 (~((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))))),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.64/0.80 tff(42,plain,
% 0.64/0.80 (((~ic(uri_ex_x2)) | (~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2)))) | ![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))),
% 0.64/0.80 inference(tautology,[status(thm)],[])).
% 0.64/0.80 tff(43,plain,
% 0.64/0.80 (![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.64/0.80 tff(44,plain,
% 0.64/0.80 ((~![X: $i] : (icext(uri_ex_x2, X) <=> (X = uri_ex_s2))) | (icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2))),
% 0.64/0.80 inference(quant_inst,[status(thm)],[])).
% 0.64/0.80 tff(45,plain,
% 0.64/0.80 (icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2)),
% 0.64/0.80 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.64/0.80 tff(46,plain,
% 0.64/0.80 (^[P: $i, C: $i] : rewrite((~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(47,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> ![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[46])).
% 0.64/0.80 tff(48,plain,
% 0.64/0.80 (^[P: $i, C: $i] : refl((~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(49,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[48])).
% 0.64/0.80 tff(50,plain,
% 0.64/0.80 (^[P: $i, C: $i] : rewrite((~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(51,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[50])).
% 0.64/0.80 tff(52,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(transitivity,[status(thm)],[51, 49])).
% 0.64/0.80 tff(53,plain,
% 0.64/0.80 (^[P: $i, C: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) <=> ((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))), rewrite((iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))) <=> (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))), ((((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) <=> (((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))), rewrite((((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) <=> (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))), ((((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) <=> (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(54,plain,
% 0.64/0.80 (![P: $i, C: $i] : (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[53])).
% 0.64/0.80 tff(55,plain,
% 0.64/0.80 (^[P: $i, C: $i] : rewrite((((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | ((~ip(P)) | (~ic(C)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))) <=> (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(56,plain,
% 0.64/0.80 (![P: $i, C: $i] : (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | ((~ip(P)) | (~ic(C)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))) <=> ![P: $i, C: $i] : (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[55])).
% 0.64/0.80 tff(57,plain,
% 0.64/0.80 (![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) <=> ![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))),
% 0.64/0.80 inference(rewrite,[status(thm)],[])).
% 0.64/0.80 tff(58,plain,
% 0.64/0.80 (^[P: $i, C: $i] : rewrite((iext(uri_rdfs_domain, P, C) <=> ((ip(P) & ic(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, X)))) <=> (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))),
% 0.64/0.80 inference(bind,[status(th)],[])).
% 0.64/0.80 tff(59,plain,
% 0.64/0.80 (![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> ((ip(P) & ic(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, X)))) <=> ![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))),
% 0.64/0.80 inference(quant_intro,[status(thm)],[58])).
% 0.64/0.80 tff(60,axiom,(![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> ((ip(P) & ic(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, X))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_rdfsext_domain')).
% 0.64/0.80 tff(61,plain,
% 0.64/0.80 (![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.64/0.80 tff(62,plain,
% 0.64/0.80 (![P: $i, C: $i] : (iext(uri_rdfs_domain, P, C) <=> (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.64/0.80 tff(63,plain,(
% 0.64/0.80 ![P: $i, C: $i] : (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | ((~ip(P)) | (~ic(C)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))))),
% 0.64/0.80 inference(skolemize,[status(sab)],[62])).
% 0.64/0.80 tff(64,plain,
% 0.64/0.80 (![P: $i, C: $i] : (((~iext(uri_rdfs_domain, P, C)) | (ip(P) & ic(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))) & (iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.64/0.80 tff(65,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.64/0.80 tff(66,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X))))))) | (~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P))))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.64/0.80 tff(67,plain,
% 0.64/0.80 (![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))),
% 0.64/0.80 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.64/0.80 tff(68,plain,
% 0.64/0.80 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))))))),
% 0.64/0.80 inference(rewrite,[status(thm)],[])).
% 0.64/0.80 tff(69,plain,
% 0.64/0.80 ((~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))))) <=> (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))),
% 0.64/0.80 inference(rewrite,[status(thm)],[])).
% 0.64/0.80 tff(70,plain,
% 0.64/0.80 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))))))),
% 0.64/0.80 inference(monotonicity,[status(thm)],[69])).
% 0.64/0.80 tff(71,plain,
% 0.64/0.80 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))))))),
% 0.64/0.80 inference(transitivity,[status(thm)],[70, 68])).
% 0.64/0.80 tff(72,plain,
% 0.64/0.80 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))),
% 0.64/0.80 inference(quant_inst,[status(thm)],[])).
% 0.64/0.80 tff(73,plain,
% 0.64/0.80 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.64/0.81 tff(74,plain,
% 0.64/0.81 (~((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[73, 67])).
% 0.64/0.81 tff(75,plain,
% 0.64/0.81 (((~(iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2) | (~ip(uri_ex_p2)) | (~ic(uri_ex_x2)) | (~((~iext(uri_ex_p2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2), tptp_fun_Y_57(uri_ex_x2, uri_ex_p2))) | icext(uri_ex_x2, tptp_fun_X_58(uri_ex_x2, uri_ex_p2)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))))) | ((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))),
% 0.64/0.81 inference(tautology,[status(thm)],[])).
% 0.64/0.81 tff(76,plain,
% 0.64/0.81 ((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.64/0.81 tff(77,plain,
% 0.64/0.81 (iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)),
% 0.64/0.81 inference(and_elim,[status(thm)],[7])).
% 0.64/0.81 tff(78,plain,
% 0.64/0.81 ((~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))) | (~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))),
% 0.64/0.81 inference(tautology,[status(thm)],[])).
% 0.64/0.81 tff(79,plain,
% 0.64/0.81 ((~((~iext(uri_rdfs_domain, uri_ex_p2, uri_ex_x2)) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))))) | (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.64/0.81 tff(80,plain,
% 0.64/0.81 (~((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[79, 76])).
% 0.64/0.81 tff(81,plain,
% 0.64/0.81 (((~ic(uri_ex_x2)) | (~ip(uri_ex_p2)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X)))) | ![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))),
% 0.64/0.81 inference(tautology,[status(thm)],[])).
% 0.64/0.81 tff(82,plain,
% 0.64/0.81 (![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[81, 80])).
% 0.64/0.81 tff(83,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : rewrite((~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(84,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> ![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[83])).
% 0.64/0.81 tff(85,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : refl((~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(86,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[85])).
% 0.64/0.81 tff(87,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : rewrite((~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(88,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[87])).
% 0.64/0.81 tff(89,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(transitivity,[status(thm)],[88, 86])).
% 0.64/0.81 tff(90,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) <=> ((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))), trans(monotonicity(rewrite((iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) <=> (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))), ((iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))) <=> (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))), rewrite((iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))) <=> (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))), ((iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))) <=> (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))), ((((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))) <=> (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))))), rewrite((((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) <=> (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))), ((((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))) <=> (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(91,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[90])).
% 0.64/0.81 tff(92,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : rewrite((((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))) <=> (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(93,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))) <=> ![P1: $i, P2: $i] : (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[92])).
% 0.64/0.81 tff(94,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) <=> ![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y)))))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(95,plain,
% 0.64/0.81 (^[P1: $i, P2: $i] : rewrite((iext(uri_owl_propertyDisjointWith, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) <=> (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(96,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) <=> ![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y)))))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[95])).
% 0.64/0.81 tff(97,axiom,(![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y)))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_eqdis_propertydisjointwith')).
% 0.64/0.81 tff(98,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y)))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.64/0.81 tff(99,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_propertyDisjointWith, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y)))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.64/0.81 tff(100,plain,(
% 0.64/0.81 ![P1: $i, P2: $i] : (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))),
% 0.64/0.81 inference(skolemize,[status(sab)],[99])).
% 0.64/0.81 tff(101,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (~(iext(P1, X, Y) & iext(P2, X, Y))))) & (iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)) & iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[100, 93])).
% 0.64/0.81 tff(102,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[101, 91])).
% 0.64/0.81 tff(103,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y)))))))) | (~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1)))))))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[102, 89])).
% 0.64/0.81 tff(104,plain,
% 0.64/0.81 (![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[103, 84])).
% 0.64/0.81 tff(105,plain,
% 0.64/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)))))))))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(106,plain,
% 0.64/0.81 ((~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))))))))) <=> (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2))))))))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(107,plain,
% 0.64/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y))))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)))))))))),
% 0.64/0.81 inference(monotonicity,[status(thm)],[106])).
% 0.64/0.81 tff(108,plain,
% 0.64/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y))))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)))))))))),
% 0.64/0.81 inference(transitivity,[status(thm)],[107, 105])).
% 0.64/0.81 tff(109,plain,
% 0.64/0.81 ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~ip(uri_ex_p2)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y))))))))))),
% 0.64/0.81 inference(quant_inst,[status(thm)],[])).
% 0.64/0.81 tff(110,plain,
% 0.64/0.81 ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_propertyDisjointWith, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~((~iext(P1, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))) | (~iext(P2, tptp_fun_X_71(P2, P1), tptp_fun_Y_70(P2, P1))))))) | (~((~iext(uri_owl_propertyDisjointWith, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : ((~iext(P2, X, Y)) | (~iext(P1, X, Y))))))))))) | (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2))))))))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.64/0.81 tff(111,plain,
% 0.64/0.81 (~((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)))))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[110, 104])).
% 0.64/0.81 tff(112,plain,
% 0.64/0.81 (((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) | (~((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | (~iext(uri_ex_p1, X, Y)))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2))))))) | (iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))),
% 0.64/0.81 inference(tautology,[status(thm)],[])).
% 0.64/0.81 tff(113,plain,
% 0.64/0.81 (iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1)))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.64/0.81 tff(114,plain,
% 0.64/0.81 (iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)),
% 0.64/0.81 inference(and_elim,[status(thm)],[7])).
% 0.64/0.81 tff(115,plain,
% 0.64/0.81 (^[S: $i, P: $i, O: $i] : refl((ip(P) | (~iext(P, S, O))) <=> (ip(P) | (~iext(P, S, O))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(116,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[115])).
% 0.64/0.81 tff(117,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(118,plain,
% 0.64/0.81 (^[S: $i, P: $i, O: $i] : rewrite((iext(P, S, O) => ip(P)) <=> (ip(P) | (~iext(P, S, O))))),
% 0.64/0.81 inference(bind,[status(th)],[])).
% 0.64/0.81 tff(119,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P)) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(quant_intro,[status(thm)],[118])).
% 0.64/0.81 tff(120,axiom,(![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','simple_iext_property')).
% 0.64/0.81 tff(121,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.64/0.81 tff(122,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.64/0.81 tff(123,plain,(
% 0.64/0.81 ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(skolemize,[status(sab)],[122])).
% 0.64/0.81 tff(124,plain,
% 0.64/0.81 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[123, 116])).
% 0.64/0.81 tff(125,plain,
% 0.64/0.81 (((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p2) | (~iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)))) <=> ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p2) | (~iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(126,plain,
% 0.64/0.81 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p2) | (~iext(uri_ex_p2, uri_ex_s2, uri_ex_o2)))),
% 0.64/0.81 inference(quant_inst,[status(thm)],[])).
% 0.64/0.81 tff(127,plain,
% 0.64/0.81 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p2) | (~iext(uri_ex_p2, uri_ex_s2, uri_ex_o2))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.64/0.81 tff(128,plain,
% 0.64/0.81 (ip(uri_ex_p2)),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[127, 124, 114])).
% 0.64/0.81 tff(129,plain,
% 0.64/0.81 (iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)),
% 0.64/0.81 inference(and_elim,[status(thm)],[7])).
% 0.64/0.81 tff(130,plain,
% 0.64/0.81 (((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p1) | (~iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)))) <=> ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p1) | (~iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(131,plain,
% 0.64/0.81 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p1) | (~iext(uri_ex_p1, uri_ex_s1, uri_ex_o1)))),
% 0.64/0.81 inference(quant_inst,[status(thm)],[])).
% 0.64/0.81 tff(132,plain,
% 0.64/0.81 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p1) | (~iext(uri_ex_p1, uri_ex_s1, uri_ex_o1))),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.64/0.81 tff(133,plain,
% 0.64/0.81 (ip(uri_ex_p1)),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[132, 124, 129])).
% 0.64/0.81 tff(134,plain,
% 0.64/0.81 ((~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)) <=> (~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2))),
% 0.64/0.81 inference(rewrite,[status(thm)],[])).
% 0.64/0.81 tff(135,axiom,(~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','conclusion_rdfbased_sem_eqdis_disprop_ext')).
% 0.64/0.81 tff(136,plain,
% 0.64/0.81 (~iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2)),
% 0.64/0.81 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.64/0.81 tff(137,plain,
% 0.64/0.81 ((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1)))))),
% 0.64/0.81 inference(tautology,[status(thm)],[])).
% 0.64/0.81 tff(138,plain,
% 0.64/0.81 ((~(iext(uri_owl_propertyDisjointWith, uri_ex_p1, uri_ex_p2) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))))) | (~ip(uri_ex_p1)) | (~ip(uri_ex_p2)) | (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1)))))),
% 0.64/0.81 inference(unit_resolution,[status(thm)],[137, 136])).
% 0.64/0.81 tff(139,plain,
% 0.64/0.81 (~((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[138, 133, 128, 113])).
% 0.64/0.82 tff(140,plain,
% 0.64/0.82 (((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1)))) | iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(141,plain,
% 0.64/0.82 (iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.64/0.82 tff(142,plain,
% 0.64/0.82 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))) | ((~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(143,plain,
% 0.64/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))) | ((~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(144,plain,
% 0.64/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p2, X, Y)) | icext(uri_ex_x2, X))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.64/0.82 tff(145,plain,
% 0.64/0.82 (icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[144, 141, 82])).
% 0.64/0.82 tff(146,plain,
% 0.64/0.82 ((~(icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2))) | (~icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))) | (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2)),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(147,plain,
% 0.64/0.82 ((~(icext(uri_ex_x2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2))) | (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2)),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[146, 145])).
% 0.64/0.82 tff(148,plain,
% 0.64/0.82 (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s2),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[147, 45])).
% 0.64/0.82 tff(149,plain,
% 0.64/0.82 (iext(uri_rdf_rest, X2!142, uri_rdf_nil)),
% 0.64/0.82 inference(and_elim,[status(thm)],[7])).
% 0.64/0.82 tff(150,plain,
% 0.64/0.82 (iext(uri_rdf_first, X2!142, uri_ex_s1)),
% 0.64/0.82 inference(and_elim,[status(thm)],[7])).
% 0.64/0.82 tff(151,plain,
% 0.64/0.82 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X2!142, uri_ex_s1)) | (~iext(uri_rdf_rest, X2!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X2!142, uri_ex_s1)) | (~iext(uri_rdf_rest, X2!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))))))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(152,plain,
% 0.64/0.82 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X2!142, uri_ex_s1)) | (~iext(uri_rdf_rest, X2!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))))))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(153,plain,
% 0.64/0.82 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X2!142, uri_ex_s1)) | (~iext(uri_rdf_rest, X2!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))))))))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[152, 151])).
% 0.64/0.82 tff(154,plain,
% 0.64/0.82 (~((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[153, 31, 150, 149])).
% 0.64/0.82 tff(155,plain,
% 0.64/0.82 (((~(iext(uri_owl_oneOf, uri_ex_x1, X2!142) | (~ic(uri_ex_x1)) | (~(icext(uri_ex_x1, tptp_fun_X_8(uri_ex_s1, uri_ex_x1)) <=> (tptp_fun_X_8(uri_ex_s1, uri_ex_x1) = uri_ex_s1))))) | (~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))))))) | ((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(156,plain,
% 0.64/0.82 ((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.64/0.82 tff(157,plain,
% 0.64/0.82 (iext(uri_owl_oneOf, uri_ex_x1, X2!142)),
% 0.64/0.82 inference(and_elim,[status(thm)],[7])).
% 0.64/0.82 tff(158,plain,
% 0.64/0.82 ((~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))) | (~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(159,plain,
% 0.64/0.82 ((~((~iext(uri_owl_oneOf, uri_ex_x1, X2!142)) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))))) | (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.64/0.82 tff(160,plain,
% 0.64/0.82 (~((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[159, 156])).
% 0.64/0.82 tff(161,plain,
% 0.64/0.82 (((~ic(uri_ex_x1)) | (~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1)))) | ![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(162,plain,
% 0.64/0.82 (![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[161, 160])).
% 0.64/0.82 tff(163,plain,
% 0.64/0.82 ((~![X: $i] : (icext(uri_ex_x1, X) <=> (X = uri_ex_s1))) | (icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(164,plain,
% 0.64/0.82 (icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1)),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.64/0.82 tff(165,plain,
% 0.64/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))))))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(166,plain,
% 0.64/0.82 ((~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))))) <=> (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(167,plain,
% 0.64/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))))))),
% 0.64/0.82 inference(monotonicity,[status(thm)],[166])).
% 0.64/0.82 tff(168,plain,
% 0.64/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))))))),
% 0.64/0.82 inference(transitivity,[status(thm)],[167, 165])).
% 0.64/0.82 tff(169,plain,
% 0.64/0.82 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(170,plain,
% 0.64/0.82 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_domain, P, C) | (~ic(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_58(C, P), tptp_fun_Y_57(C, P))) | icext(C, tptp_fun_X_58(C, P)))))) | (~((~iext(uri_rdfs_domain, P, C)) | (~((~ic(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, X)))))))))) | (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[169, 168])).
% 0.64/0.82 tff(171,plain,
% 0.64/0.82 (~((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[170, 67])).
% 0.64/0.82 tff(172,plain,
% 0.64/0.82 (((~(iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1) | (~ip(uri_ex_p1)) | (~ic(uri_ex_x1)) | (~((~iext(uri_ex_p1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1), tptp_fun_Y_57(uri_ex_x1, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_58(uri_ex_x1, uri_ex_p1)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))))) | ((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(173,plain,
% 0.64/0.82 ((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[172, 171])).
% 0.64/0.82 tff(174,plain,
% 0.64/0.82 (iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)),
% 0.64/0.82 inference(and_elim,[status(thm)],[7])).
% 0.64/0.82 tff(175,plain,
% 0.64/0.82 ((~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))) | (~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(176,plain,
% 0.64/0.82 ((~((~iext(uri_rdfs_domain, uri_ex_p1, uri_ex_x1)) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))))) | (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.64/0.82 tff(177,plain,
% 0.64/0.82 (~((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[176, 173])).
% 0.64/0.82 tff(178,plain,
% 0.64/0.82 (((~ic(uri_ex_x1)) | (~ip(uri_ex_p1)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X)))) | ![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(179,plain,
% 0.64/0.82 (![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[178, 177])).
% 0.64/0.82 tff(180,plain,
% 0.64/0.82 (((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | (~iext(uri_ex_p2, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1)))) | iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(181,plain,
% 0.64/0.82 (iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[180, 139])).
% 0.64/0.82 tff(182,plain,
% 0.64/0.82 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))) | ((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))) | (~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(183,plain,
% 0.64/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))) | ((~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(184,plain,
% 0.64/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p1, X, Y)) | icext(uri_ex_x1, X))) | (~iext(uri_ex_p1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1), tptp_fun_Y_70(uri_ex_p2, uri_ex_p1))) | icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.64/0.82 tff(185,plain,
% 0.64/0.82 (icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[184, 181, 179])).
% 0.64/0.82 tff(186,plain,
% 0.64/0.82 ((~(icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1))) | (~icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1))) | (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1)),
% 0.64/0.82 inference(tautology,[status(thm)],[])).
% 0.64/0.82 tff(187,plain,
% 0.64/0.82 ((~(icext(uri_ex_x1, tptp_fun_X_71(uri_ex_p2, uri_ex_p1)) <=> (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1))) | (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1)),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.64/0.82 tff(188,plain,
% 0.64/0.82 (tptp_fun_X_71(uri_ex_p2, uri_ex_p1) = uri_ex_s1),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[187, 164])).
% 0.64/0.82 tff(189,plain,
% 0.64/0.82 (uri_ex_s1 = tptp_fun_X_71(uri_ex_p2, uri_ex_p1)),
% 0.64/0.82 inference(symmetry,[status(thm)],[188])).
% 0.64/0.82 tff(190,plain,
% 0.64/0.82 (uri_ex_s1 = uri_ex_s2),
% 0.64/0.82 inference(transitivity,[status(thm)],[189, 148])).
% 0.64/0.82 tff(191,plain,
% 0.64/0.82 (^[X: $i, Y: $i] : refl((~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))))),
% 0.64/0.82 inference(bind,[status(th)],[])).
% 0.64/0.82 tff(192,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(quant_intro,[status(thm)],[191])).
% 0.64/0.82 tff(193,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(rewrite,[status(thm)],[])).
% 0.64/0.82 tff(194,plain,
% 0.64/0.82 (^[X: $i, Y: $i] : trans(rewrite((iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))), rewrite((~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))), ((iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))))),
% 0.64/0.82 inference(bind,[status(th)],[])).
% 0.64/0.82 tff(195,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(quant_intro,[status(thm)],[194])).
% 0.64/0.82 tff(196,axiom,(![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y)))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_eqdis_differentfrom')).
% 0.64/0.82 tff(197,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.64/0.82 tff(198,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[197, 193])).
% 0.64/0.82 tff(199,plain,(
% 0.64/0.82 ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(skolemize,[status(sab)],[198])).
% 0.64/0.82 tff(200,plain,
% 0.64/0.82 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.64/0.82 inference(modus_ponens,[status(thm)],[199, 192])).
% 0.64/0.82 tff(201,plain,
% 0.64/0.82 ((~![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))) | (~((uri_ex_s1 = uri_ex_s2) <=> iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)))),
% 0.64/0.82 inference(quant_inst,[status(thm)],[])).
% 0.64/0.82 tff(202,plain,
% 0.64/0.82 (~((uri_ex_s1 = uri_ex_s2) <=> iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2))),
% 0.64/0.82 inference(unit_resolution,[status(thm)],[201, 200])).
% 0.64/0.82 tff(203,plain,
% 0.64/0.82 (iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)),
% 0.68/0.84 inference(and_elim,[status(thm)],[7])).
% 0.68/0.84 tff(204,plain,
% 0.68/0.84 (((uri_ex_s1 = uri_ex_s2) <=> iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) | (~(uri_ex_s1 = uri_ex_s2)) | (~iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2))),
% 0.68/0.84 inference(tautology,[status(thm)],[])).
% 0.68/0.84 tff(205,plain,
% 0.68/0.84 (((uri_ex_s1 = uri_ex_s2) <=> iext(uri_owl_differentFrom, uri_ex_s1, uri_ex_s2)) | (~(uri_ex_s1 = uri_ex_s2))),
% 0.68/0.84 inference(unit_resolution,[status(thm)],[204, 203])).
% 0.68/0.84 tff(206,plain,
% 0.68/0.84 (~(uri_ex_s1 = uri_ex_s2)),
% 0.68/0.84 inference(unit_resolution,[status(thm)],[205, 202])).
% 0.68/0.84 tff(207,plain,
% 0.68/0.84 ($false),
% 0.68/0.84 inference(unit_resolution,[status(thm)],[206, 190])).
% 0.68/0.84 % SZS output end Proof
% 0.68/0.84 % E exiting
%------------------------------------------------------------------------------