TSTP Solution File: SWB026+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB026+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:31:57 EDT 2022
% Result : Theorem 0.80s 0.81s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB026+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Sep 3 19:58:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.80/0.81 % SZS status Theorem
% 0.80/0.81 % SZS output start Proof
% 0.80/0.81 tff(tptp_fun_X2_115_type, type, (
% 0.80/0.81 tptp_fun_X2_115: $i > $i)).
% 0.80/0.81 tff(uri_ex_p_type, type, (
% 0.80/0.81 uri_ex_p: $i)).
% 0.80/0.81 tff(tptp_fun_X1_116_type, type, (
% 0.80/0.81 tptp_fun_X1_116: $i > $i)).
% 0.80/0.81 tff(uri_ex_w_type, type, (
% 0.80/0.81 uri_ex_w: $i)).
% 0.80/0.81 tff(icext_type, type, (
% 0.80/0.81 icext: ( $i * $i ) > $o)).
% 0.80/0.81 tff(tptp_fun_BNODE_x1_143_type, type, (
% 0.80/0.81 tptp_fun_BNODE_x1_143: $i)).
% 0.80/0.81 tff(ic_type, type, (
% 0.80/0.81 ic: $i > $o)).
% 0.80/0.81 tff(iext_type, type, (
% 0.80/0.81 iext: ( $i * $i * $i ) > $o)).
% 0.80/0.81 tff(tptp_fun_BNODE_l1_141_type, type, (
% 0.80/0.81 tptp_fun_BNODE_l1_141: $i)).
% 0.80/0.81 tff(uri_owl_oneOf_type, type, (
% 0.80/0.81 uri_owl_oneOf: $i)).
% 0.80/0.81 tff(tptp_fun_X_8_type, type, (
% 0.80/0.81 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.80/0.81 tff(uri_rdf_nil_type, type, (
% 0.80/0.81 uri_rdf_nil: $i)).
% 0.80/0.81 tff(uri_rdf_rest_type, type, (
% 0.80/0.81 uri_rdf_rest: $i)).
% 0.80/0.81 tff(tptp_fun_BNODE_l2_140_type, type, (
% 0.80/0.81 tptp_fun_BNODE_l2_140: $i)).
% 0.80/0.81 tff(uri_ex_u_type, type, (
% 0.80/0.81 uri_ex_u: $i)).
% 0.80/0.81 tff(uri_rdf_first_type, type, (
% 0.80/0.81 uri_rdf_first: $i)).
% 0.80/0.81 tff(tptp_fun_BNODE_x2_142_type, type, (
% 0.80/0.81 tptp_fun_BNODE_x2_142: $i)).
% 0.80/0.81 tff(uri_rdfs_range_type, type, (
% 0.80/0.81 uri_rdfs_range: $i)).
% 0.80/0.81 tff(uri_rdfs_domain_type, type, (
% 0.80/0.81 uri_rdfs_domain: $i)).
% 0.80/0.81 tff(tptp_fun_Y_114_type, type, (
% 0.80/0.81 tptp_fun_Y_114: $i > $i)).
% 0.80/0.81 tff(ip_type, type, (
% 0.80/0.81 ip: $i > $o)).
% 0.80/0.81 tff(uri_owl_InverseFunctionalProperty_type, type, (
% 0.80/0.81 uri_owl_InverseFunctionalProperty: $i)).
% 0.80/0.81 tff(tptp_fun_X_58_type, type, (
% 0.80/0.81 tptp_fun_X_58: ( $i * $i ) > $i)).
% 0.80/0.81 tff(tptp_fun_Y_57_type, type, (
% 0.80/0.81 tptp_fun_Y_57: ( $i * $i ) > $i)).
% 0.80/0.81 tff(uri_rdf_type_type, type, (
% 0.80/0.81 uri_rdf_type: $i)).
% 0.80/0.81 tff(1,plain,
% 0.80/0.81 (?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)) <=> ?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))),
% 0.80/0.81 inference(rewrite,[status(thm)],[])).
% 0.80/0.81 tff(2,plain,
% 0.80/0.81 (^[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w))), ((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil))), ((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)))), (((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) <=> ((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2))), (((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)))), ((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) <=> ((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2))), ((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)))), (((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) <=> ((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u))), (((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)))), ((((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)) <=> ((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)))), rewrite(((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))), ((((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)) <=> (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(3,plain,
% 0.80/0.82 (?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil)) <=> ?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[2])).
% 0.80/0.82 tff(4,axiom,(?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (((((((iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1)) & iext(uri_rdf_first, BNODE_l1, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil)) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2)) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2)) & iext(uri_rdf_first, BNODE_l2, uri_ex_u)) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_premise_fullish_026_Inferred_Property_Characteristics_I')).
% 0.80/0.82 tff(5,plain,
% 0.80/0.82 (?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.80/0.82 tff(6,plain,
% 0.80/0.82 (?[BNODE_x1: $i, BNODE_x2: $i, BNODE_l1: $i, BNODE_l2: $i] : (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1) & iext(uri_owl_oneOf, BNODE_x1, BNODE_l1) & iext(uri_rdf_first, BNODE_l1, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2) & iext(uri_owl_oneOf, BNODE_x2, BNODE_l2) & iext(uri_rdf_first, BNODE_l2, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2, uri_rdf_nil))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.80/0.82 tff(7,plain,(
% 0.80/0.82 iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143) & iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) & iext(uri_rdf_first, BNODE_l1!141, uri_ex_w) & iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil) & iext(uri_rdfs_range, uri_ex_p, BNODE_x2!142) & iext(uri_owl_oneOf, BNODE_x2!142, BNODE_l2!140) & iext(uri_rdf_first, BNODE_l2!140, uri_ex_u) & iext(uri_rdf_rest, BNODE_l2!140, uri_rdf_nil)),
% 0.80/0.82 inference(skolemize,[status(sab)],[6])).
% 0.80/0.82 tff(8,plain,
% 0.80/0.82 (iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil)),
% 0.80/0.82 inference(and_elim,[status(thm)],[7])).
% 0.80/0.82 tff(9,plain,
% 0.80/0.82 (iext(uri_rdf_first, BNODE_l1!141, uri_ex_w)),
% 0.80/0.82 inference(and_elim,[status(thm)],[7])).
% 0.80/0.82 tff(10,plain,
% 0.80/0.82 (^[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)))))))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(11,plain,
% 0.80/0.82 (![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)) | (~![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))))))))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[10])).
% 0.80/0.82 tff(12,plain,
% 0.80/0.82 (^[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))))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(13,plain,
% 0.80/0.82 (![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)) | (~![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)))))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[12])).
% 0.80/0.82 tff(14,plain,
% 0.80/0.82 (^[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))))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(15,plain,
% 0.80/0.82 (![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)) | (~![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)))))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[14])).
% 0.80/0.82 tff(16,plain,
% 0.80/0.82 (![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)) | (~![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)))))))),
% 0.80/0.82 inference(transitivity,[status(thm)],[15, 13])).
% 0.80/0.82 tff(17,plain,
% 0.80/0.82 (^[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))))))), 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) & ![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)))))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(18,plain,
% 0.80/0.82 (![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) & ![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)))))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[17])).
% 0.80/0.82 tff(19,plain,
% 0.80/0.82 (^[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))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(20,plain,
% 0.80/0.82 (![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) & ![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)))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[19])).
% 0.80/0.82 tff(21,plain,
% 0.80/0.82 (![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) & ![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)))))),
% 0.80/0.82 inference(rewrite,[status(thm)],[])).
% 0.80/0.82 tff(22,plain,
% 0.80/0.82 (^[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)))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(23,plain,
% 0.80/0.82 (![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) & ![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)))))),
% 0.80/0.82 inference(quant_intro,[status(thm)],[22])).
% 0.80/0.82 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')).
% 0.80/0.82 tff(25,plain,
% 0.80/0.82 (![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) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.80/0.82 tff(26,plain,
% 0.80/0.82 (![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) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.80/0.82 tff(27,plain,(
% 0.80/0.82 ![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) & ![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)))))))),
% 0.80/0.82 inference(skolemize,[status(sab)],[26])).
% 0.80/0.82 tff(28,plain,
% 0.80/0.82 (![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) & ![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)))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.80/0.82 tff(29,plain,
% 0.80/0.82 (![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)) | (~![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)))))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.80/0.82 tff(30,plain,
% 0.80/0.82 (![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)) | (~![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)))))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.80/0.82 tff(31,plain,
% 0.80/0.82 (![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))))))))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.80/0.82 tff(32,plain,
% 0.80/0.82 (((~![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, BNODE_l1!141, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))))))) <=> ((~![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, BNODE_l1!141, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))))))),
% 0.80/0.82 inference(rewrite,[status(thm)],[])).
% 0.80/0.82 tff(33,plain,
% 0.80/0.82 ((~![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, BNODE_l1!141, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))))))),
% 0.80/0.82 inference(quant_inst,[status(thm)],[])).
% 0.80/0.82 tff(34,plain,
% 0.80/0.82 ((~![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, BNODE_l1!141, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))))))))),
% 0.80/0.82 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.80/0.82 tff(35,plain,
% 0.80/0.82 (~((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))))),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.80/0.82 tff(36,plain,
% 0.80/0.82 (((~(iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141) | (~ic(BNODE_x1!143)) | ((~icext(BNODE_x1!143, tptp_fun_X_8(uri_ex_w, BNODE_x1!143))) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x1!143) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))))))) | ((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))),
% 0.80/0.82 inference(tautology,[status(thm)],[])).
% 0.80/0.82 tff(37,plain,
% 0.80/0.82 ((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))))),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.80/0.82 tff(38,plain,
% 0.80/0.82 (iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)),
% 0.80/0.82 inference(and_elim,[status(thm)],[7])).
% 0.80/0.82 tff(39,plain,
% 0.80/0.82 ((~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))) | (~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))))),
% 0.80/0.82 inference(tautology,[status(thm)],[])).
% 0.80/0.82 tff(40,plain,
% 0.80/0.82 ((~((~iext(uri_owl_oneOf, BNODE_x1!143, BNODE_l1!141)) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))))) | (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))))),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.80/0.82 tff(41,plain,
% 0.80/0.82 (~((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))))),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.80/0.82 tff(42,plain,
% 0.80/0.82 (((~ic(BNODE_x1!143)) | (~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w)))) | ![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))),
% 0.80/0.82 inference(tautology,[status(thm)],[])).
% 0.80/0.82 tff(43,plain,
% 0.80/0.82 (![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.80/0.82 tff(44,plain,
% 0.80/0.82 ((~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))) | (icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)) <=> (tptp_fun_X2_115(uri_ex_p) = uri_ex_w))),
% 0.80/0.82 inference(quant_inst,[status(thm)],[])).
% 0.80/0.82 tff(45,plain,
% 0.80/0.82 (icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)) <=> (tptp_fun_X2_115(uri_ex_p) = uri_ex_w)),
% 0.80/0.82 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.80/0.82 tff(46,plain,
% 0.80/0.82 (^[P: $i] : rewrite((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))))))),
% 0.80/0.82 inference(bind,[status(th)],[])).
% 0.80/0.82 tff(47,plain,
% 0.80/0.82 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y))))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[46])).
% 0.80/0.83 tff(48,plain,
% 0.80/0.83 (^[P: $i] : refl((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(49,plain,
% 0.80/0.83 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[48])).
% 0.80/0.83 tff(50,plain,
% 0.80/0.83 (^[P: $i] : rewrite((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(51,plain,
% 0.80/0.83 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[50])).
% 0.80/0.83 tff(52,plain,
% 0.80/0.83 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(transitivity,[status(thm)],[51, 49])).
% 0.80/0.83 tff(53,plain,
% 0.80/0.83 (^[P: $i] : trans(monotonicity(rewrite(((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) <=> ((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))), trans(monotonicity(rewrite((~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))) <=> (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))), ((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))), rewrite((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))), ((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))), ((((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))))) <=> (((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y))))))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))))), rewrite((((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y))))))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))), ((((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(54,plain,
% 0.80/0.83 (![P: $i] : (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[53])).
% 0.80/0.83 tff(55,plain,
% 0.80/0.83 (^[P: $i] : rewrite((((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))))) <=> (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(56,plain,
% 0.80/0.83 (![P: $i] : (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))))) <=> ![P: $i] : (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[55])).
% 0.80/0.83 tff(57,plain,
% 0.80/0.83 (![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) <=> ![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2))))),
% 0.80/0.83 inference(rewrite,[status(thm)],[])).
% 0.80/0.83 tff(58,plain,
% 0.80/0.83 (^[P: $i] : rewrite((icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((iext(P, X1, Y) & iext(P, X2, Y)) => (X1 = X2)))) <=> (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(59,plain,
% 0.80/0.83 (![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((iext(P, X1, Y) & iext(P, X2, Y)) => (X1 = X2)))) <=> ![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[58])).
% 0.80/0.83 tff(60,axiom,(![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((iext(P, X1, Y) & iext(P, X2, Y)) => (X1 = X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_char_inversefunctional')).
% 0.80/0.83 tff(61,plain,
% 0.80/0.83 (![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.80/0.83 tff(62,plain,
% 0.80/0.83 (![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.80/0.83 tff(63,plain,(
% 0.80/0.83 ![P: $i] : (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P)))))))),
% 0.80/0.83 inference(skolemize,[status(sab)],[62])).
% 0.80/0.83 tff(64,plain,
% 0.80/0.83 (![P: $i] : (((~icext(uri_owl_InverseFunctionalProperty, P)) | (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((~(iext(P, X1, Y) & iext(P, X2, Y))) | (X1 = X2)))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P)) & iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))) | (tptp_fun_X1_116(P) = tptp_fun_X2_115(P))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.80/0.83 tff(65,plain,
% 0.80/0.83 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.80/0.83 tff(66,plain,
% 0.80/0.83 (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P)))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.80/0.83 tff(67,plain,
% 0.80/0.83 (![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y))))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.80/0.83 tff(68,plain,
% 0.80/0.83 ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_116(P) = tptp_fun_X2_115(P)) | (~iext(P, tptp_fun_X1_116(P), tptp_fun_Y_114(P))) | (~iext(P, tptp_fun_X2_115(P), tptp_fun_Y_114(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X2, Y)) | (~iext(P, X1, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(uri_ex_p, X2, Y)) | (~iext(uri_ex_p, X1, Y))))))))))),
% 0.80/0.83 inference(quant_inst,[status(thm)],[])).
% 0.80/0.83 tff(69,plain,
% 0.80/0.83 (~((~(icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(uri_ex_p, X2, Y)) | (~iext(uri_ex_p, X1, Y)))))))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.80/0.83 tff(70,plain,
% 0.80/0.83 (((~(icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, uri_ex_p)) | (~((~ip(uri_ex_p)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(uri_ex_p, X2, Y)) | (~iext(uri_ex_p, X1, Y))))))))) | (icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(71,plain,
% 0.80/0.83 (icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.80/0.83 tff(72,plain,
% 0.80/0.83 (^[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))))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(73,plain,
% 0.80/0.83 (![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)))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[72])).
% 0.80/0.83 tff(74,plain,
% 0.80/0.83 (^[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)))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(75,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[74])).
% 0.80/0.83 tff(76,plain,
% 0.80/0.83 (^[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)))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(77,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[76])).
% 0.80/0.83 tff(78,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(transitivity,[status(thm)],[77, 75])).
% 0.80/0.83 tff(79,plain,
% 0.80/0.83 (^[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))))))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(80,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[79])).
% 0.80/0.83 tff(81,plain,
% 0.80/0.83 (^[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)))))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(82,plain,
% 0.80/0.83 (![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))))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[81])).
% 0.80/0.83 tff(83,plain,
% 0.80/0.83 (![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))))),
% 0.80/0.83 inference(rewrite,[status(thm)],[])).
% 0.80/0.83 tff(84,plain,
% 0.80/0.83 (^[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)))))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(85,plain,
% 0.80/0.83 (![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))))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[84])).
% 0.80/0.83 tff(86,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')).
% 0.80/0.83 tff(87,plain,
% 0.80/0.83 (![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))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.80/0.83 tff(88,plain,
% 0.80/0.83 (![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))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[87, 83])).
% 0.80/0.83 tff(89,plain,(
% 0.80/0.83 ![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)))))))),
% 0.80/0.83 inference(skolemize,[status(sab)],[88])).
% 0.80/0.83 tff(90,plain,
% 0.80/0.83 (![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))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.80/0.83 tff(91,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[90, 80])).
% 0.80/0.83 tff(92,plain,
% 0.80/0.83 (![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))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[91, 78])).
% 0.80/0.83 tff(93,plain,
% 0.80/0.83 (![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)))))))))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[92, 73])).
% 0.80/0.83 tff(94,plain,
% 0.80/0.83 ((~![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, BNODE_x1!143) | (~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(BNODE_x1!143, uri_ex_p), tptp_fun_Y_57(BNODE_x1!143, uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X_58(BNODE_x1!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))))))))),
% 0.80/0.83 inference(quant_inst,[status(thm)],[])).
% 0.80/0.83 tff(95,plain,
% 0.80/0.83 (~((~(iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143) | (~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(BNODE_x1!143, uri_ex_p), tptp_fun_Y_57(BNODE_x1!143, uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X_58(BNODE_x1!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))))))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[94, 93])).
% 0.80/0.83 tff(96,plain,
% 0.80/0.83 (((~(iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143) | (~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~((~iext(uri_ex_p, tptp_fun_X_58(BNODE_x1!143, uri_ex_p), tptp_fun_Y_57(BNODE_x1!143, uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X_58(BNODE_x1!143, uri_ex_p)))))) | (~((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))))))) | ((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))))))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(97,plain,
% 0.80/0.83 ((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.80/0.83 tff(98,plain,
% 0.80/0.83 (iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)),
% 0.80/0.83 inference(and_elim,[status(thm)],[7])).
% 0.80/0.83 tff(99,plain,
% 0.80/0.83 ((~((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))))))) | (~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(100,plain,
% 0.80/0.83 ((~((~iext(uri_rdfs_domain, uri_ex_p, BNODE_x1!143)) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))))))) | (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[99, 98])).
% 0.80/0.83 tff(101,plain,
% 0.80/0.83 (~((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[100, 97])).
% 0.80/0.83 tff(102,plain,
% 0.80/0.83 (((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))) | ip(uri_ex_p)),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(103,plain,
% 0.80/0.83 (ip(uri_ex_p)),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[102, 101])).
% 0.80/0.83 tff(104,plain,
% 0.80/0.83 (^[X: $i, C: $i] : refl((iext(uri_rdf_type, X, C) <=> icext(C, X)) <=> (iext(uri_rdf_type, X, C) <=> icext(C, X)))),
% 0.80/0.83 inference(bind,[status(th)],[])).
% 0.80/0.83 tff(105,plain,
% 0.80/0.83 (![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))),
% 0.80/0.83 inference(quant_intro,[status(thm)],[104])).
% 0.80/0.83 tff(106,plain,
% 0.80/0.83 (![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))),
% 0.80/0.83 inference(rewrite,[status(thm)],[])).
% 0.80/0.83 tff(107,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')).
% 0.80/0.83 tff(108,plain,
% 0.80/0.83 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.80/0.83 tff(109,plain,(
% 0.80/0.83 ![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.80/0.83 inference(skolemize,[status(sab)],[108])).
% 0.80/0.83 tff(110,plain,
% 0.80/0.83 (![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.80/0.83 tff(111,plain,
% 0.80/0.83 ((~![X: $i, C: $i] : (iext(uri_rdf_type, X, C) <=> icext(C, X))) | (iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) <=> icext(uri_owl_InverseFunctionalProperty, uri_ex_p))),
% 0.80/0.83 inference(quant_inst,[status(thm)],[])).
% 0.80/0.83 tff(112,plain,
% 0.80/0.83 (iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) <=> icext(uri_owl_InverseFunctionalProperty, uri_ex_p)),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.80/0.83 tff(113,plain,
% 0.80/0.83 ((~iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)) <=> (~iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty))),
% 0.80/0.83 inference(rewrite,[status(thm)],[])).
% 0.80/0.83 tff(114,axiom,(~iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I')).
% 0.80/0.83 tff(115,plain,
% 0.80/0.83 (~iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty)),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.80/0.83 tff(116,plain,
% 0.80/0.83 ((~(iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) <=> icext(uri_owl_InverseFunctionalProperty, uri_ex_p))) | iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) | (~icext(uri_owl_InverseFunctionalProperty, uri_ex_p))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(117,plain,
% 0.80/0.83 ((~(iext(uri_rdf_type, uri_ex_p, uri_owl_InverseFunctionalProperty) <=> icext(uri_owl_InverseFunctionalProperty, uri_ex_p))) | (~icext(uri_owl_InverseFunctionalProperty, uri_ex_p))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.80/0.83 tff(118,plain,
% 0.80/0.83 (~icext(uri_owl_InverseFunctionalProperty, uri_ex_p)),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[117, 112])).
% 0.80/0.83 tff(119,plain,
% 0.80/0.83 ((~(icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))) | icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(120,plain,
% 0.80/0.83 ((~(icext(uri_owl_InverseFunctionalProperty, uri_ex_p) | (~ip(uri_ex_p)) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))))) | (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[119, 118, 103])).
% 0.80/0.83 tff(121,plain,
% 0.80/0.83 (~((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[120, 71])).
% 0.80/0.83 tff(122,plain,
% 0.80/0.83 (((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))) | iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(123,plain,
% 0.80/0.83 (iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.80/0.83 tff(124,plain,
% 0.80/0.83 (((~ic(BNODE_x1!143)) | (~ip(uri_ex_p)) | (~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X)))) | ![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))),
% 0.80/0.83 inference(tautology,[status(thm)],[])).
% 0.80/0.83 tff(125,plain,
% 0.80/0.83 (![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))),
% 0.80/0.83 inference(unit_resolution,[status(thm)],[124, 101])).
% 0.80/0.83 tff(126,plain,
% 0.80/0.83 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | ((~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)))),
% 0.80/0.83 inference(rewrite,[status(thm)],[])).
% 0.80/0.83 tff(127,plain,
% 0.80/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | ((~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)))),
% 0.80/0.83 inference(quant_inst,[status(thm)],[])).
% 0.80/0.83 tff(128,plain,
% 0.80/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p))),
% 0.80/0.83 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.80/0.84 tff(129,plain,
% 0.80/0.84 (icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p))),
% 0.80/0.84 inference(unit_resolution,[status(thm)],[128, 125, 123])).
% 0.80/0.84 tff(130,plain,
% 0.80/0.84 ((~(icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)) <=> (tptp_fun_X2_115(uri_ex_p) = uri_ex_w))) | (~icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p))) | (tptp_fun_X2_115(uri_ex_p) = uri_ex_w)),
% 0.80/0.84 inference(tautology,[status(thm)],[])).
% 0.80/0.84 tff(131,plain,
% 0.80/0.84 ((~(icext(BNODE_x1!143, tptp_fun_X2_115(uri_ex_p)) <=> (tptp_fun_X2_115(uri_ex_p) = uri_ex_w))) | (tptp_fun_X2_115(uri_ex_p) = uri_ex_w)),
% 0.80/0.84 inference(unit_resolution,[status(thm)],[130, 129])).
% 0.80/0.84 tff(132,plain,
% 0.80/0.84 (tptp_fun_X2_115(uri_ex_p) = uri_ex_w),
% 0.80/0.84 inference(unit_resolution,[status(thm)],[131, 45])).
% 0.80/0.84 tff(133,plain,
% 0.80/0.84 ((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) <=> (tptp_fun_X1_116(uri_ex_p) = uri_ex_w)),
% 0.80/0.84 inference(monotonicity,[status(thm)],[132])).
% 0.80/0.84 tff(134,plain,
% 0.80/0.84 ((tptp_fun_X1_116(uri_ex_p) = uri_ex_w) <=> (tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p))),
% 0.80/0.86 inference(symmetry,[status(thm)],[133])).
% 0.80/0.86 tff(135,plain,
% 0.80/0.86 ((~![X: $i] : (icext(BNODE_x1!143, X) <=> (X = uri_ex_w))) | (icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)) <=> (tptp_fun_X1_116(uri_ex_p) = uri_ex_w))),
% 0.80/0.86 inference(quant_inst,[status(thm)],[])).
% 0.80/0.86 tff(136,plain,
% 0.80/0.86 (icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)) <=> (tptp_fun_X1_116(uri_ex_p) = uri_ex_w)),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[135, 43])).
% 0.80/0.86 tff(137,plain,
% 0.80/0.86 (((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))) | iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))),
% 0.80/0.86 inference(tautology,[status(thm)],[])).
% 0.80/0.86 tff(138,plain,
% 0.80/0.86 (iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[137, 121])).
% 0.80/0.86 tff(139,plain,
% 0.80/0.86 (((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | ((~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)))),
% 0.80/0.86 inference(rewrite,[status(thm)],[])).
% 0.80/0.86 tff(140,plain,
% 0.80/0.86 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | ((~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)))),
% 0.80/0.86 inference(quant_inst,[status(thm)],[])).
% 0.80/0.86 tff(141,plain,
% 0.80/0.86 ((~![X: $i, Y: $i] : ((~iext(uri_ex_p, X, Y)) | icext(BNODE_x1!143, X))) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p))),
% 0.80/0.86 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.80/0.86 tff(142,plain,
% 0.80/0.86 (icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p))),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[141, 125, 138])).
% 0.80/0.86 tff(143,plain,
% 0.80/0.86 ((~(icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)) <=> (tptp_fun_X1_116(uri_ex_p) = uri_ex_w))) | (~icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p))) | (tptp_fun_X1_116(uri_ex_p) = uri_ex_w)),
% 0.80/0.86 inference(tautology,[status(thm)],[])).
% 0.80/0.86 tff(144,plain,
% 0.80/0.86 ((~(icext(BNODE_x1!143, tptp_fun_X1_116(uri_ex_p)) <=> (tptp_fun_X1_116(uri_ex_p) = uri_ex_w))) | (tptp_fun_X1_116(uri_ex_p) = uri_ex_w)),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.80/0.86 tff(145,plain,
% 0.80/0.86 (tptp_fun_X1_116(uri_ex_p) = uri_ex_w),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[144, 136])).
% 0.80/0.86 tff(146,plain,
% 0.80/0.86 (tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)),
% 0.80/0.86 inference(modus_ponens,[status(thm)],[145, 134])).
% 0.80/0.86 tff(147,plain,
% 0.80/0.86 (((tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)) | (~iext(uri_ex_p, tptp_fun_X1_116(uri_ex_p), tptp_fun_Y_114(uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X2_115(uri_ex_p), tptp_fun_Y_114(uri_ex_p)))) | (~(tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p)))),
% 0.80/0.86 inference(tautology,[status(thm)],[])).
% 0.80/0.86 tff(148,plain,
% 0.80/0.86 (~(tptp_fun_X1_116(uri_ex_p) = tptp_fun_X2_115(uri_ex_p))),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[147, 121])).
% 0.80/0.86 tff(149,plain,
% 0.80/0.86 ($false),
% 0.80/0.86 inference(unit_resolution,[status(thm)],[148, 146])).
% 0.80/0.86 % SZS output end Proof
%------------------------------------------------------------------------------