%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB044+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:29:44 AM UTC 2025
% Result : Theorem 0.59s 0.79s
% Output : Proof 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB044+1 : TPTP v9.0.0. Released v5.2.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.11/0.34 % Computer : n015.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Fri Jun 20 07:53:41 EDT 2025
% 0.11/0.34 % CPUTime :
% 0.59/0.79 % SZS status Theorem
% 0.59/0.79 % SZS output start Proof
% 0.59/0.79 tff(uri_ex_y_type, type, (
% 0.59/0.79 uri_ex_y: $i)).
% 0.59/0.79 tff(uri_ex_x_type, type, (
% 0.59/0.79 uri_ex_x: $i)).
% 0.59/0.79 tff(tptp_fun_X_110_type, type, (
% 0.59/0.79 tptp_fun_X_110: $i > $i)).
% 0.59/0.79 tff(uri_ex_p_type, type, (
% 0.59/0.79 uri_ex_p: $i)).
% 0.59/0.79 tff(icext_type, type, (
% 0.59/0.79 icext: ( $i * $i ) > $o)).
% 0.59/0.79 tff(tptp_fun_X0_141_type, type, (
% 0.59/0.79 tptp_fun_X0_141: $i)).
% 0.59/0.79 tff(ic_type, type, (
% 0.59/0.79 ic: $i > $o)).
% 0.59/0.79 tff(iext_type, type, (
% 0.59/0.79 iext: ( $i * $i * $i ) > $o)).
% 0.59/0.79 tff(tptp_fun_X1_140_type, type, (
% 0.59/0.79 tptp_fun_X1_140: $i)).
% 0.59/0.79 tff(uri_owl_oneOf_type, type, (
% 0.59/0.79 uri_owl_oneOf: $i)).
% 0.59/0.79 tff(tptp_fun_X_8_type, type, (
% 0.59/0.79 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.59/0.79 tff(uri_rdf_nil_type, type, (
% 0.59/0.79 uri_rdf_nil: $i)).
% 0.59/0.79 tff(uri_rdf_rest_type, type, (
% 0.59/0.79 uri_rdf_rest: $i)).
% 0.59/0.79 tff(tptp_fun_X3_142_type, type, (
% 0.59/0.79 tptp_fun_X3_142: $i)).
% 0.59/0.79 tff(uri_rdf_first_type, type, (
% 0.59/0.79 uri_rdf_first: $i)).
% 0.59/0.79 tff(uri_owl_differentFrom_type, type, (
% 0.59/0.79 uri_owl_differentFrom: $i)).
% 0.59/0.79 tff(tptp_fun_X2_143_type, type, (
% 0.59/0.79 tptp_fun_X2_143: $i)).
% 0.59/0.79 tff(uri_rdfs_range_type, type, (
% 0.59/0.79 uri_rdfs_range: $i)).
% 0.59/0.79 tff(uri_rdfs_domain_type, type, (
% 0.59/0.79 uri_rdfs_domain: $i)).
% 0.59/0.79 tff(tptp_fun_Y_109_type, type, (
% 0.59/0.79 tptp_fun_Y_109: $i > $i)).
% 0.59/0.79 tff(ip_type, type, (
% 0.59/0.79 ip: $i > $o)).
% 0.59/0.79 tff(uri_owl_AsymmetricProperty_type, type, (
% 0.59/0.79 uri_owl_AsymmetricProperty: $i)).
% 0.59/0.79 tff(uri_rdf_type_type, type, (
% 0.59/0.79 uri_rdf_type: $i)).
% 0.59/0.79 tff(tptp_fun_Y_59_type, type, (
% 0.59/0.79 tptp_fun_Y_59: ( $i * $i ) > $i)).
% 0.59/0.79 tff(tptp_fun_X_60_type, type, (
% 0.59/0.79 tptp_fun_X_60: ( $i * $i ) > $i)).
% 0.59/0.79 tff(tptp_fun_X_58_type, type, (
% 0.59/0.79 tptp_fun_X_58: ( $i * $i ) > $i)).
% 0.59/0.79 tff(tptp_fun_Y_57_type, type, (
% 0.59/0.79 tptp_fun_Y_57: ( $i * $i ) > $i)).
% 0.59/0.79 tff(1,plain,
% 0.59/0.79 (?[X2: $i, X3: $i, X0: $i, X1: $i] : (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> ?[X2: $i, X3: $i, X0: $i, X1: $i] : (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))),
% 0.59/0.79 inference(rewrite,[status(thm)],[])).
% 0.59/0.79 tff(2,plain,
% 0.59/0.79 (^[X2: $i, X3: $i, X0: $i, X1: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0))), ((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3))), ((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3)))), (((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y))), (((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y)))), ((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))), ((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))), (((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y))), (((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y)))), ((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil))), ((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil)))), (((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x))), (((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x)))), ((((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> ((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil)))), rewrite(((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))), ((((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(3,plain,
% 0.59/0.80 (?[X2: $i, X3: $i, X0: $i, X1: $i] : (((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil)) <=> ?[X2: $i, X3: $i, X0: $i, X1: $i] : (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))),
% 0.59/0.80 inference(quant_intro,[status(thm)],[2])).
% 0.59/0.80 tff(4,axiom,(?[X2: $i, X3: $i, X0: $i, X1: $i] : (((((((((iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2)) & iext(uri_rdfs_range, uri_ex_p, X0)) & iext(uri_owl_oneOf, X2, X3)) & iext(uri_ex_p, uri_ex_x, uri_ex_y)) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) & iext(uri_rdf_first, X1, uri_ex_y)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) & iext(uri_rdf_first, X3, uri_ex_x)) & iext(uri_rdf_rest, X3, uri_rdf_nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_rdfbased_sem_char_asymmetric_ext')).
% 0.59/0.80 tff(5,plain,
% 0.59/0.80 (?[X2: $i, X3: $i, X0: $i, X1: $i] : (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))),
% 0.59/0.80 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.59/0.80 tff(6,plain,
% 0.59/0.80 (?[X2: $i, X3: $i, X0: $i, X1: $i] : (iext(uri_owl_oneOf, X0, X1) & iext(uri_rdfs_domain, uri_ex_p, X2) & iext(uri_rdfs_range, uri_ex_p, X0) & iext(uri_owl_oneOf, X2, X3) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1, uri_ex_y) & iext(uri_rdf_rest, X1, uri_rdf_nil) & iext(uri_rdf_first, X3, uri_ex_x) & iext(uri_rdf_rest, X3, uri_rdf_nil))),
% 0.59/0.80 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.59/0.80 tff(7,plain,(
% 0.59/0.80 iext(uri_owl_oneOf, X0!141, X1!140) & iext(uri_rdfs_domain, uri_ex_p, X2!143) & iext(uri_rdfs_range, uri_ex_p, X0!141) & iext(uri_owl_oneOf, X2!143, X3!142) & iext(uri_ex_p, uri_ex_x, uri_ex_y) & iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y) & iext(uri_rdf_first, X1!140, uri_ex_y) & iext(uri_rdf_rest, X1!140, uri_rdf_nil) & iext(uri_rdf_first, X3!142, uri_ex_x) & iext(uri_rdf_rest, X3!142, uri_rdf_nil)),
% 0.59/0.80 inference(skolemize,[status(sab)],[6])).
% 0.59/0.80 tff(8,plain,
% 0.59/0.80 (iext(uri_rdf_rest, X1!140, uri_rdf_nil)),
% 0.59/0.80 inference(and_elim,[status(thm)],[7])).
% 0.59/0.80 tff(9,plain,
% 0.59/0.80 (iext(uri_rdf_first, X1!140, uri_ex_y)),
% 0.59/0.80 inference(and_elim,[status(thm)],[7])).
% 0.59/0.80 tff(10,plain,
% 0.59/0.80 (^[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)))))))))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(11,plain,
% 0.59/0.80 (![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)) | (~![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))))))))))),
% 0.59/0.80 inference(quant_intro,[status(thm)],[10])).
% 0.59/0.80 tff(12,plain,
% 0.59/0.80 (^[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)))))))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(13,plain,
% 0.59/0.80 (![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)) | (~![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))))))))),
% 0.59/0.80 inference(quant_intro,[status(thm)],[12])).
% 0.59/0.80 tff(14,plain,
% 0.59/0.80 (^[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)))))))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(15,plain,
% 0.59/0.80 (![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)) | (~![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))))))))),
% 0.59/0.80 inference(quant_intro,[status(thm)],[14])).
% 0.59/0.80 tff(16,plain,
% 0.59/0.80 (![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)) | (~![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))))))))),
% 0.59/0.80 inference(transitivity,[status(thm)],[15, 13])).
% 0.59/0.80 tff(17,plain,
% 0.59/0.80 (^[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))))))))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(18,plain,
% 0.59/0.80 (![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) & ![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))))))))),
% 0.59/0.80 inference(quant_intro,[status(thm)],[17])).
% 0.59/0.80 tff(19,plain,
% 0.59/0.80 (^[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)))))))),
% 0.59/0.80 inference(bind,[status(th)],[])).
% 0.59/0.80 tff(20,plain,
% 0.59/0.80 (![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) & ![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))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[19])).
% 0.59/0.81 tff(21,plain,
% 0.59/0.81 (![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)))))),
% 0.59/0.81 inference(rewrite,[status(thm)],[])).
% 0.59/0.81 tff(22,plain,
% 0.59/0.81 (^[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)))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(23,plain,
% 0.59/0.81 (![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)))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[22])).
% 0.59/0.81 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/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_enum_class_001')).
% 0.59/0.81 tff(25,plain,
% 0.59/0.81 (![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)))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.59/0.81 tff(26,plain,
% 0.59/0.81 (![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)))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.59/0.81 tff(27,plain,(
% 0.59/0.81 ![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)))))))),
% 0.59/0.81 inference(skolemize,[status(sab)],[26])).
% 0.59/0.81 tff(28,plain,
% 0.59/0.81 (![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))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.59/0.81 tff(29,plain,
% 0.59/0.81 (![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))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.59/0.81 tff(30,plain,
% 0.59/0.81 (![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))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.59/0.81 tff(31,plain,
% 0.59/0.81 (![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))))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.59/0.81 tff(32,plain,
% 0.59/0.81 (((~![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!140, uri_ex_y)) | (~iext(uri_rdf_rest, X1!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))))))) <=> ((~![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!140, uri_ex_y)) | (~iext(uri_rdf_rest, X1!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))))))),
% 0.59/0.81 inference(rewrite,[status(thm)],[])).
% 0.59/0.81 tff(33,plain,
% 0.59/0.81 ((~![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!140, uri_ex_y)) | (~iext(uri_rdf_rest, X1!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))))))),
% 0.59/0.81 inference(quant_inst,[status(thm)],[])).
% 0.59/0.81 tff(34,plain,
% 0.59/0.81 ((~![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!140, uri_ex_y)) | (~iext(uri_rdf_rest, X1!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.59/0.81 tff(35,plain,
% 0.59/0.81 (~((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))))),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.59/0.81 tff(36,plain,
% 0.59/0.81 (((~(iext(uri_owl_oneOf, X0!141, X1!140) | (~ic(X0!141)) | (~(icext(X0!141, tptp_fun_X_8(uri_ex_y, X0!141)) <=> (tptp_fun_X_8(uri_ex_y, X0!141) = uri_ex_y))))) | (~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))))))) | ((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))),
% 0.59/0.81 inference(tautology,[status(thm)],[])).
% 0.59/0.81 tff(37,plain,
% 0.59/0.81 ((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))))),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.59/0.81 tff(38,plain,
% 0.59/0.81 (iext(uri_owl_oneOf, X0!141, X1!140)),
% 0.59/0.81 inference(and_elim,[status(thm)],[7])).
% 0.59/0.81 tff(39,plain,
% 0.59/0.81 ((~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))) | (~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))))),
% 0.59/0.81 inference(tautology,[status(thm)],[])).
% 0.59/0.81 tff(40,plain,
% 0.59/0.81 ((~((~iext(uri_owl_oneOf, X0!141, X1!140)) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))))) | (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))))),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.59/0.81 tff(41,plain,
% 0.59/0.81 (~((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))))),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.59/0.81 tff(42,plain,
% 0.59/0.81 (((~ic(X0!141)) | (~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y)))) | ![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))),
% 0.59/0.81 inference(tautology,[status(thm)],[])).
% 0.59/0.81 tff(43,plain,
% 0.59/0.81 (![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.59/0.81 tff(44,plain,
% 0.59/0.81 ((~![X: $i] : (icext(X0!141, X) <=> (X = uri_ex_y))) | (icext(X0!141, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_y))),
% 0.59/0.81 inference(quant_inst,[status(thm)],[])).
% 0.59/0.81 tff(45,plain,
% 0.59/0.81 (icext(X0!141, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_y)),
% 0.59/0.81 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.59/0.81 tff(46,plain,
% 0.59/0.81 (^[P: $i] : rewrite((~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(47,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[46])).
% 0.59/0.81 tff(48,plain,
% 0.59/0.81 (^[P: $i] : refl((~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(49,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[48])).
% 0.59/0.81 tff(50,plain,
% 0.59/0.81 (^[P: $i] : rewrite((~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(51,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[50])).
% 0.59/0.81 tff(52,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(transitivity,[status(thm)],[51, 49])).
% 0.59/0.81 tff(53,plain,
% 0.59/0.81 (^[P: $i] : trans(monotonicity(rewrite(((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) <=> ((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))), trans(monotonicity(rewrite((~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))) <=> (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))), ((icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))) <=> (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))), rewrite((icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))) <=> (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))), ((icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))) <=> (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))), ((((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) <=> (((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))), rewrite((((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) <=> (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))), ((((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) <=> (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(54,plain,
% 0.59/0.81 (![P: $i] : (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[53])).
% 0.59/0.81 tff(55,plain,
% 0.59/0.81 (^[P: $i] : rewrite((((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | ((~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))) <=> (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(56,plain,
% 0.59/0.81 (![P: $i] : (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | ((~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))) <=> ![P: $i] : (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[55])).
% 0.59/0.81 tff(57,plain,
% 0.59/0.81 (![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) <=> ![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))),
% 0.59/0.81 inference(rewrite,[status(thm)],[])).
% 0.59/0.81 tff(58,plain,
% 0.59/0.81 (^[P: $i] : rewrite((icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : (iext(P, X, Y) => (~iext(P, Y, X))))) <=> (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))),
% 0.59/0.81 inference(bind,[status(th)],[])).
% 0.59/0.81 tff(59,plain,
% 0.59/0.81 (![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : (iext(P, X, Y) => (~iext(P, Y, X))))) <=> ![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))),
% 0.59/0.81 inference(quant_intro,[status(thm)],[58])).
% 0.59/0.81 tff(60,axiom,(![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : (iext(P, X, Y) => (~iext(P, Y, X)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_char_asymmetric')).
% 0.59/0.81 tff(61,plain,
% 0.59/0.81 (![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.59/0.81 tff(62,plain,
% 0.59/0.81 (![P: $i] : (icext(uri_owl_AsymmetricProperty, P) <=> (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.59/0.81 tff(63,plain,(
% 0.59/0.81 ![P: $i] : (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | ((~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))))),
% 0.59/0.81 inference(skolemize,[status(sab)],[62])).
% 0.59/0.81 tff(64,plain,
% 0.59/0.81 (![P: $i] : (((~icext(uri_owl_AsymmetricProperty, P)) | (ip(P) & ![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))) & (icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.59/0.81 tff(65,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.59/0.81 tff(66,plain,
% 0.59/0.81 (![P: $i] : (~((~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y)))))))) | (~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P)))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.59/0.81 tff(67,plain,
% 0.59/0.81 (![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))),
% 0.59/0.81 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.59/0.81 tff(68,plain,
% 0.59/0.81 (((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y)))))))))))),
% 0.59/0.81 inference(rewrite,[status(thm)],[])).
% 0.59/0.81 tff(69,plain,
% 0.59/0.81 ((~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y)))))))))) <=> (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))),
% 0.59/0.81 inference(rewrite,[status(thm)],[])).
% 0.59/0.81 tff(70,plain,
% 0.59/0.81 (((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y)))))))))))),
% 0.59/0.81 inference(monotonicity,[status(thm)],[69])).
% 0.59/0.81 tff(71,plain,
% 0.59/0.81 (((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y)))))))))))),
% 0.59/0.82 inference(transitivity,[status(thm)],[70, 68])).
% 0.59/0.82 tff(72,plain,
% 0.59/0.82 ((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))),
% 0.59/0.82 inference(quant_inst,[status(thm)],[])).
% 0.59/0.82 tff(73,plain,
% 0.59/0.82 ((~![P: $i] : (~((~(icext(uri_owl_AsymmetricProperty, P) | (~ip(P)) | (~((~iext(P, tptp_fun_Y_109(P), tptp_fun_X_110(P))) | (~iext(P, tptp_fun_X_110(P), tptp_fun_Y_109(P))))))) | (~((~icext(uri_owl_AsymmetricProperty, P)) | (~((~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, Y, X)) | (~iext(P, X, Y))))))))))) | (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.59/0.82 tff(74,plain,
% 0.59/0.82 (~((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y)))))))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[73, 67])).
% 0.59/0.82 tff(75,plain,
% 0.59/0.82 (((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~icext(uri_owl_AsymmetricProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, Y, X)) | (~iext(uri_ex_p, X, Y))))))))) | (icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(76,plain,
% 0.59/0.82 (icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p)))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[75, 74])).
% 0.59/0.82 tff(77,plain,
% 0.59/0.82 (iext(uri_ex_p, uri_ex_x, uri_ex_y)),
% 0.59/0.82 inference(and_elim,[status(thm)],[7])).
% 0.59/0.82 tff(78,plain,
% 0.59/0.82 (^[S: $i, P: $i, O: $i] : refl((ip(P) | (~iext(P, S, O))) <=> (ip(P) | (~iext(P, S, O))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(79,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[78])).
% 0.59/0.82 tff(80,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(81,plain,
% 0.59/0.82 (^[S: $i, P: $i, O: $i] : rewrite((iext(P, S, O) => ip(P)) <=> (ip(P) | (~iext(P, S, O))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(82,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P)) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[81])).
% 0.59/0.82 tff(83,axiom,(![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','simple_iext_property')).
% 0.59/0.82 tff(84,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.59/0.82 tff(85,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[84, 80])).
% 0.59/0.82 tff(86,plain,(
% 0.59/0.82 ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(skolemize,[status(sab)],[85])).
% 0.59/0.82 tff(87,plain,
% 0.59/0.82 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[86, 79])).
% 0.59/0.82 tff(88,plain,
% 0.59/0.82 (((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p) | (~iext(uri_ex_p, uri_ex_x, uri_ex_y)))) <=> ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p) | (~iext(uri_ex_p, uri_ex_x, uri_ex_y)))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(89,plain,
% 0.59/0.82 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_ex_p) | (~iext(uri_ex_p, uri_ex_x, uri_ex_y)))),
% 0.59/0.82 inference(quant_inst,[status(thm)],[])).
% 0.59/0.82 tff(90,plain,
% 0.59/0.82 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_ex_p) | (~iext(uri_ex_p, uri_ex_x, uri_ex_y))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.59/0.82 tff(91,plain,
% 0.59/0.82 (ip(uri_ex_p)),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[90, 87, 77])).
% 0.59/0.82 tff(92,plain,
% 0.59/0.82 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(93,plain,
% 0.59/0.82 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[92])).
% 0.59/0.82 tff(94,plain,
% 0.59/0.82 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(95,axiom,(![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','rdfs_cext_def')).
% 0.59/0.82 tff(96,plain,
% 0.59/0.82 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.59/0.82 tff(97,plain,(
% 0.59/0.82 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.59/0.82 inference(skolemize,[status(sab)],[96])).
% 0.59/0.82 tff(98,plain,
% 0.59/0.82 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[97, 93])).
% 0.59/0.82 tff(99,plain,
% 0.59/0.82 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty) <=> icext(uri_owl_AsymmetricProperty, uri_ex_p))),
% 0.59/0.82 inference(quant_inst,[status(thm)],[])).
% 0.59/0.82 tff(100,plain,
% 0.59/0.82 (iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty) <=> icext(uri_owl_AsymmetricProperty, uri_ex_p)),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.59/0.82 tff(101,plain,
% 0.59/0.82 ((~iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty)) <=> (~iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(102,axiom,(~iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conclusion_rdfbased_sem_char_asymmetric_ext')).
% 0.59/0.82 tff(103,plain,
% 0.59/0.82 (~iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty)),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.59/0.82 tff(104,plain,
% 0.59/0.82 ((~(iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty) <=> icext(uri_owl_AsymmetricProperty, uri_ex_p))) | iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty) | (~icext(uri_owl_AsymmetricProperty, uri_ex_p))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(105,plain,
% 0.59/0.82 ((~(iext(uri_rdf_type, uri_ex_p, uri_owl_AsymmetricProperty) <=> icext(uri_owl_AsymmetricProperty, uri_ex_p))) | (~icext(uri_owl_AsymmetricProperty, uri_ex_p))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[104, 103])).
% 0.59/0.82 tff(106,plain,
% 0.59/0.82 (~icext(uri_owl_AsymmetricProperty, uri_ex_p)),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[105, 100])).
% 0.59/0.82 tff(107,plain,
% 0.59/0.82 ((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p)))))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(108,plain,
% 0.59/0.82 ((~(icext(uri_owl_AsymmetricProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))))) | (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p)))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[107, 106, 91])).
% 0.59/0.82 tff(109,plain,
% 0.59/0.82 (~((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[108, 76])).
% 0.59/0.82 tff(110,plain,
% 0.59/0.82 (((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p)))) | iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(111,plain,
% 0.59/0.82 (iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[110, 109])).
% 0.59/0.82 tff(112,plain,
% 0.59/0.82 (^[P: $i, C: $i] : rewrite((~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(113,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> ![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[112])).
% 0.59/0.82 tff(114,plain,
% 0.59/0.82 (^[P: $i, C: $i] : refl((~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(115,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[114])).
% 0.59/0.82 tff(116,plain,
% 0.59/0.82 (^[P: $i, C: $i] : rewrite((~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(117,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[116])).
% 0.59/0.82 tff(118,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(transitivity,[status(thm)],[117, 115])).
% 0.59/0.82 tff(119,plain,
% 0.59/0.82 (^[P: $i, C: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) <=> ((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))), rewrite((iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))) <=> (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))), ((((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) <=> (((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))), rewrite((((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) <=> (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))), ((((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) <=> (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(120,plain,
% 0.59/0.82 (![P: $i, C: $i] : (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) <=> ![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[119])).
% 0.59/0.82 tff(121,plain,
% 0.59/0.82 (^[P: $i, C: $i] : rewrite((((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | ((~ip(P)) | (~ip(C)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))) <=> (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(122,plain,
% 0.59/0.82 (![P: $i, C: $i] : (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | ((~ip(P)) | (~ip(C)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))) <=> ![P: $i, C: $i] : (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[121])).
% 0.59/0.82 tff(123,plain,
% 0.59/0.82 (![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) <=> ![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(124,plain,
% 0.59/0.82 (^[P: $i, C: $i] : rewrite((iext(uri_rdfs_range, P, C) <=> ((ip(P) & ip(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, Y)))) <=> (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))),
% 0.59/0.82 inference(bind,[status(th)],[])).
% 0.59/0.82 tff(125,plain,
% 0.59/0.82 (![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> ((ip(P) & ip(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, Y)))) <=> ![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))),
% 0.59/0.82 inference(quant_intro,[status(thm)],[124])).
% 0.59/0.82 tff(126,axiom,(![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> ((ip(P) & ip(C)) & ![X: $i, Y: $i] : (iext(P, X, Y) => icext(C, Y))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_rdfsext_range')).
% 0.59/0.82 tff(127,plain,
% 0.59/0.82 (![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.59/0.82 tff(128,plain,
% 0.59/0.82 (![P: $i, C: $i] : (iext(uri_rdfs_range, P, C) <=> (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.59/0.82 tff(129,plain,(
% 0.59/0.82 ![P: $i, C: $i] : (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | ((~ip(P)) | (~ip(C)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))))),
% 0.59/0.82 inference(skolemize,[status(sab)],[128])).
% 0.59/0.82 tff(130,plain,
% 0.59/0.82 (![P: $i, C: $i] : (((~iext(uri_rdfs_range, P, C)) | (ip(P) & ip(C) & ![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))) & (iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.59/0.82 tff(131,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[130, 120])).
% 0.59/0.82 tff(132,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y))))))) | (~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P))))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[131, 118])).
% 0.59/0.82 tff(133,plain,
% 0.59/0.82 (![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[132, 113])).
% 0.59/0.82 tff(134,plain,
% 0.59/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))))))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(135,plain,
% 0.59/0.82 ((~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(X0!141)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))))) <=> (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(136,plain,
% 0.59/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(X0!141)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))))))),
% 0.59/0.82 inference(monotonicity,[status(thm)],[135])).
% 0.59/0.82 tff(137,plain,
% 0.59/0.82 (((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(X0!141)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))) <=> ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))))))),
% 0.59/0.82 inference(transitivity,[status(thm)],[136, 134])).
% 0.59/0.82 tff(138,plain,
% 0.59/0.82 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(X0!141)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))),
% 0.59/0.82 inference(quant_inst,[status(thm)],[])).
% 0.59/0.82 tff(139,plain,
% 0.59/0.82 ((~![P: $i, C: $i] : (~((~(iext(uri_rdfs_range, P, C) | (~ip(C)) | (~ip(P)) | (~((~iext(P, tptp_fun_X_60(C, P), tptp_fun_Y_59(C, P))) | icext(C, tptp_fun_Y_59(C, P)))))) | (~((~iext(uri_rdfs_range, P, C)) | (~((~ip(C)) | (~ip(P)) | (~![X: $i, Y: $i] : ((~iext(P, X, Y)) | icext(C, Y)))))))))) | (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.59/0.82 tff(140,plain,
% 0.59/0.82 (~((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[139, 133])).
% 0.59/0.82 tff(141,plain,
% 0.59/0.82 (((~(iext(uri_rdfs_range, uri_ex_p, X0!141) | (~ip(uri_ex_p)) | (~ip(X0!141)) | (~((~iext(uri_ex_p, tptp_fun_X_60(X0!141, uri_ex_p), tptp_fun_Y_59(X0!141, uri_ex_p))) | icext(X0!141, tptp_fun_Y_59(X0!141, uri_ex_p)))))) | (~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))))) | ((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(142,plain,
% 0.59/0.82 ((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[141, 140])).
% 0.59/0.82 tff(143,plain,
% 0.59/0.82 (iext(uri_rdfs_range, uri_ex_p, X0!141)),
% 0.59/0.82 inference(and_elim,[status(thm)],[7])).
% 0.59/0.82 tff(144,plain,
% 0.59/0.82 ((~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))) | (~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(145,plain,
% 0.59/0.82 ((~((~iext(uri_rdfs_range, uri_ex_p, X0!141)) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))))) | (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[144, 143])).
% 0.59/0.82 tff(146,plain,
% 0.59/0.82 (~((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[145, 142])).
% 0.59/0.82 tff(147,plain,
% 0.59/0.82 (((~ip(X0!141)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y)))) | ![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(148,plain,
% 0.59/0.82 (![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[147, 146])).
% 0.59/0.82 tff(149,plain,
% 0.59/0.82 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))) | ((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | icext(X0!141, tptp_fun_X_110(uri_ex_p)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | icext(X0!141, tptp_fun_X_110(uri_ex_p)))),
% 0.59/0.82 inference(rewrite,[status(thm)],[])).
% 0.59/0.82 tff(150,plain,
% 0.59/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))) | ((~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | icext(X0!141, tptp_fun_X_110(uri_ex_p)))),
% 0.59/0.82 inference(quant_inst,[status(thm)],[])).
% 0.59/0.82 tff(151,plain,
% 0.59/0.82 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X0!141, Y))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p))) | icext(X0!141, tptp_fun_X_110(uri_ex_p))),
% 0.59/0.82 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.59/0.82 tff(152,plain,
% 0.59/0.82 (icext(X0!141, tptp_fun_X_110(uri_ex_p))),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[151, 148, 111])).
% 0.59/0.82 tff(153,plain,
% 0.59/0.82 ((~(icext(X0!141, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_y))) | (~icext(X0!141, tptp_fun_X_110(uri_ex_p))) | (tptp_fun_X_110(uri_ex_p) = uri_ex_y)),
% 0.59/0.82 inference(tautology,[status(thm)],[])).
% 0.59/0.82 tff(154,plain,
% 0.59/0.82 ((~(icext(X0!141, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_y))) | (tptp_fun_X_110(uri_ex_p) = uri_ex_y)),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[153, 152])).
% 0.59/0.82 tff(155,plain,
% 0.59/0.82 (tptp_fun_X_110(uri_ex_p) = uri_ex_y),
% 0.59/0.82 inference(unit_resolution,[status(thm)],[154, 45])).
% 0.59/0.82 tff(156,plain,
% 0.59/0.82 (iext(uri_rdf_rest, X3!142, uri_rdf_nil)),
% 0.59/0.82 inference(and_elim,[status(thm)],[7])).
% 0.59/0.82 tff(157,plain,
% 0.59/0.82 (iext(uri_rdf_first, X3!142, uri_ex_x)),
% 0.59/0.82 inference(and_elim,[status(thm)],[7])).
% 0.59/0.82 tff(158,plain,
% 0.59/0.82 (((~![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, X3!142, uri_ex_x)) | (~iext(uri_rdf_rest, X3!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))))))) <=> ((~![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, X3!142, uri_ex_x)) | (~iext(uri_rdf_rest, X3!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))))))),
% 0.59/0.83 inference(rewrite,[status(thm)],[])).
% 0.59/0.83 tff(159,plain,
% 0.59/0.83 ((~![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, X3!142, uri_ex_x)) | (~iext(uri_rdf_rest, X3!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))))))),
% 0.59/0.83 inference(quant_inst,[status(thm)],[])).
% 0.59/0.83 tff(160,plain,
% 0.59/0.83 ((~![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, X3!142, uri_ex_x)) | (~iext(uri_rdf_rest, X3!142, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.59/0.83 tff(161,plain,
% 0.59/0.83 (~((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[160, 31, 157, 156])).
% 0.59/0.83 tff(162,plain,
% 0.59/0.83 (((~(iext(uri_owl_oneOf, X2!143, X3!142) | (~ic(X2!143)) | (~(icext(X2!143, tptp_fun_X_8(uri_ex_x, X2!143)) <=> (tptp_fun_X_8(uri_ex_x, X2!143) = uri_ex_x))))) | (~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))))))) | ((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(163,plain,
% 0.59/0.83 ((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[162, 161])).
% 0.59/0.83 tff(164,plain,
% 0.59/0.83 (iext(uri_owl_oneOf, X2!143, X3!142)),
% 0.59/0.83 inference(and_elim,[status(thm)],[7])).
% 0.59/0.83 tff(165,plain,
% 0.59/0.83 ((~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))) | (~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(166,plain,
% 0.59/0.83 ((~((~iext(uri_owl_oneOf, X2!143, X3!142)) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))))) | (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[165, 164])).
% 0.59/0.83 tff(167,plain,
% 0.59/0.83 (~((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[166, 163])).
% 0.59/0.83 tff(168,plain,
% 0.59/0.83 (((~ic(X2!143)) | (~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x)))) | ![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(169,plain,
% 0.59/0.83 (![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[168, 167])).
% 0.59/0.83 tff(170,plain,
% 0.59/0.83 ((~![X: $i] : (icext(X2!143, X) <=> (X = uri_ex_x))) | (icext(X2!143, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_x))),
% 0.59/0.83 inference(quant_inst,[status(thm)],[])).
% 0.59/0.83 tff(171,plain,
% 0.59/0.83 (icext(X2!143, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_x)),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[170, 169])).
% 0.59/0.83 tff(172,plain,
% 0.59/0.83 (((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_Y_109(uri_ex_p), tptp_fun_X_110(uri_ex_p)))) | iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(173,plain,
% 0.59/0.83 (iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[172, 109])).
% 0.59/0.83 tff(174,plain,
% 0.59/0.83 (^[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))))))))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(175,plain,
% 0.59/0.83 (![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)))))))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[174])).
% 0.59/0.83 tff(176,plain,
% 0.59/0.83 (^[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)))))))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(177,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[176])).
% 0.59/0.83 tff(178,plain,
% 0.59/0.83 (^[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)))))))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(179,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[178])).
% 0.59/0.83 tff(180,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(transitivity,[status(thm)],[179, 177])).
% 0.59/0.83 tff(181,plain,
% 0.59/0.83 (^[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))))))))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(182,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[181])).
% 0.59/0.83 tff(183,plain,
% 0.59/0.83 (^[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)))))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(184,plain,
% 0.59/0.83 (![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))))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[183])).
% 0.59/0.83 tff(185,plain,
% 0.59/0.83 (![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))))),
% 0.59/0.83 inference(rewrite,[status(thm)],[])).
% 0.59/0.83 tff(186,plain,
% 0.59/0.83 (^[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)))))),
% 0.59/0.83 inference(bind,[status(th)],[])).
% 0.59/0.83 tff(187,plain,
% 0.59/0.83 (![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))))),
% 0.59/0.83 inference(quant_intro,[status(thm)],[186])).
% 0.59/0.83 tff(188,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/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_rdfsext_domain')).
% 0.59/0.83 tff(189,plain,
% 0.59/0.83 (![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))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.59/0.83 tff(190,plain,
% 0.59/0.83 (![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))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[189, 185])).
% 0.59/0.83 tff(191,plain,(
% 0.59/0.83 ![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)))))))),
% 0.59/0.83 inference(skolemize,[status(sab)],[190])).
% 0.59/0.83 tff(192,plain,
% 0.59/0.83 (![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))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[191, 184])).
% 0.59/0.83 tff(193,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[192, 182])).
% 0.59/0.83 tff(194,plain,
% 0.59/0.83 (![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))))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[193, 180])).
% 0.59/0.83 tff(195,plain,
% 0.59/0.83 (![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)))))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[194, 175])).
% 0.59/0.83 tff(196,plain,
% 0.59/0.83 (((~![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_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, 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_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))))))),
% 0.59/0.83 inference(rewrite,[status(thm)],[])).
% 0.59/0.83 tff(197,plain,
% 0.59/0.83 ((~((~(iext(uri_rdfs_domain, uri_ex_p, X2!143) | (~ic(X2!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))))) <=> (~((~(iext(uri_rdfs_domain, uri_ex_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))))))),
% 0.59/0.83 inference(rewrite,[status(thm)],[])).
% 0.59/0.83 tff(198,plain,
% 0.59/0.83 (((~![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_p, X2!143) | (~ic(X2!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, 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_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))))))),
% 0.59/0.83 inference(monotonicity,[status(thm)],[197])).
% 0.59/0.83 tff(199,plain,
% 0.59/0.83 (((~![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_p, X2!143) | (~ic(X2!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, 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_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))))))),
% 0.59/0.83 inference(transitivity,[status(thm)],[198, 196])).
% 0.59/0.83 tff(200,plain,
% 0.59/0.83 ((~![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_p, X2!143) | (~ic(X2!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))))))),
% 0.59/0.83 inference(quant_inst,[status(thm)],[])).
% 0.59/0.83 tff(201,plain,
% 0.59/0.83 ((~![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_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))))))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.59/0.83 tff(202,plain,
% 0.59/0.83 (~((~(iext(uri_rdfs_domain, uri_ex_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[201, 195])).
% 0.59/0.83 tff(203,plain,
% 0.59/0.83 (((~(iext(uri_rdfs_domain, uri_ex_p, X2!143) | (~ip(uri_ex_p)) | (~ic(X2!143)) | (~((~iext(uri_ex_p, tptp_fun_X_58(X2!143, uri_ex_p), tptp_fun_Y_57(X2!143, uri_ex_p))) | icext(X2!143, tptp_fun_X_58(X2!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))))) | ((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(204,plain,
% 0.59/0.83 ((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[203, 202])).
% 0.59/0.83 tff(205,plain,
% 0.59/0.83 (iext(uri_rdfs_domain, uri_ex_p, X2!143)),
% 0.59/0.83 inference(and_elim,[status(thm)],[7])).
% 0.59/0.83 tff(206,plain,
% 0.59/0.83 ((~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))) | (~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(207,plain,
% 0.59/0.83 ((~((~iext(uri_rdfs_domain, uri_ex_p, X2!143)) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))))) | (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[206, 205])).
% 0.59/0.83 tff(208,plain,
% 0.59/0.83 (~((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[207, 204])).
% 0.59/0.83 tff(209,plain,
% 0.59/0.83 (((~ic(X2!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X)))) | ![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(210,plain,
% 0.59/0.83 (![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[209, 208])).
% 0.59/0.83 tff(211,plain,
% 0.59/0.83 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))) | ((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | icext(X2!143, tptp_fun_X_110(uri_ex_p)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | icext(X2!143, tptp_fun_X_110(uri_ex_p)))),
% 0.59/0.83 inference(rewrite,[status(thm)],[])).
% 0.59/0.83 tff(212,plain,
% 0.59/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))) | ((~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | icext(X2!143, tptp_fun_X_110(uri_ex_p)))),
% 0.59/0.83 inference(quant_inst,[status(thm)],[])).
% 0.59/0.83 tff(213,plain,
% 0.59/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(X2!143, X))) | (~iext(uri_ex_p, tptp_fun_X_110(uri_ex_p), tptp_fun_Y_109(uri_ex_p))) | icext(X2!143, tptp_fun_X_110(uri_ex_p))),
% 0.59/0.83 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.59/0.83 tff(214,plain,
% 0.59/0.83 (icext(X2!143, tptp_fun_X_110(uri_ex_p))),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[213, 210, 173])).
% 0.59/0.83 tff(215,plain,
% 0.59/0.83 ((~(icext(X2!143, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_x))) | (~icext(X2!143, tptp_fun_X_110(uri_ex_p))) | (tptp_fun_X_110(uri_ex_p) = uri_ex_x)),
% 0.59/0.83 inference(tautology,[status(thm)],[])).
% 0.59/0.83 tff(216,plain,
% 0.59/0.83 ((~(icext(X2!143, tptp_fun_X_110(uri_ex_p)) <=> (tptp_fun_X_110(uri_ex_p) = uri_ex_x))) | (tptp_fun_X_110(uri_ex_p) = uri_ex_x)),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[215, 214])).
% 0.59/0.83 tff(217,plain,
% 0.59/0.83 (tptp_fun_X_110(uri_ex_p) = uri_ex_x),
% 0.59/0.83 inference(unit_resolution,[status(thm)],[216, 171])).
% 0.59/0.83 tff(218,plain,
% 0.69/0.85 (uri_ex_x = tptp_fun_X_110(uri_ex_p)),
% 0.69/0.85 inference(symmetry,[status(thm)],[217])).
% 0.69/0.85 tff(219,plain,
% 0.69/0.85 (uri_ex_x = uri_ex_y),
% 0.69/0.85 inference(transitivity,[status(thm)],[218, 155])).
% 0.69/0.85 tff(220,plain,
% 0.69/0.85 (^[X: $i, Y: $i] : refl((~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))))),
% 0.69/0.85 inference(bind,[status(th)],[])).
% 0.69/0.85 tff(221,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(quant_intro,[status(thm)],[220])).
% 0.69/0.85 tff(222,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(rewrite,[status(thm)],[])).
% 0.69/0.85 tff(223,plain,
% 0.69/0.85 (^[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)))))),
% 0.69/0.85 inference(bind,[status(th)],[])).
% 0.69/0.85 tff(224,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y))) <=> ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(quant_intro,[status(thm)],[223])).
% 0.69/0.85 tff(225,axiom,(![X: $i, Y: $i] : (iext(uri_owl_differentFrom, X, Y) <=> (~(X = Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_eqdis_differentfrom')).
% 0.69/0.85 tff(226,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.69/0.85 tff(227,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[226, 222])).
% 0.69/0.85 tff(228,plain,(
% 0.69/0.85 ![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(skolemize,[status(sab)],[227])).
% 0.69/0.85 tff(229,plain,
% 0.69/0.85 (![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))),
% 0.69/0.85 inference(modus_ponens,[status(thm)],[228, 221])).
% 0.69/0.85 tff(230,plain,
% 0.69/0.85 ((~![X: $i, Y: $i] : (~((X = Y) <=> iext(uri_owl_differentFrom, X, Y)))) | (~((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)))),
% 0.69/0.85 inference(quant_inst,[status(thm)],[])).
% 0.69/0.85 tff(231,plain,
% 0.69/0.85 (~((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.69/0.85 tff(232,plain,
% 0.69/0.85 (iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)),
% 0.69/0.85 inference(and_elim,[status(thm)],[7])).
% 0.69/0.85 tff(233,plain,
% 0.69/0.85 (((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) | (~(uri_ex_x = uri_ex_y)) | (~iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y))),
% 0.69/0.85 inference(tautology,[status(thm)],[])).
% 0.69/0.85 tff(234,plain,
% 0.69/0.85 (((uri_ex_x = uri_ex_y) <=> iext(uri_owl_differentFrom, uri_ex_x, uri_ex_y)) | (~(uri_ex_x = uri_ex_y))),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.69/0.85 tff(235,plain,
% 0.69/0.85 (~(uri_ex_x = uri_ex_y)),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[234, 231])).
% 0.69/0.85 tff(236,plain,
% 0.69/0.85 ($false),
% 0.69/0.85 inference(unit_resolution,[status(thm)],[235, 219])).
% 0.69/0.85 % SZS output end Proof
% 0.69/0.85 % E exiting
%------------------------------------------------------------------------------