TSTP Solution File: SWB028+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB028+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:31:59 EDT 2022
% Result : Theorem 0.77s 0.80s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB028+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n019.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 19:54:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 0.77/0.80 % SZS status Theorem
% 0.77/0.80 % SZS output start Proof
% 0.77/0.80 tff(iext_type, type, (
% 0.77/0.80 iext: ( $i * $i * $i ) > $o)).
% 0.77/0.80 tff(tptp_fun_X1_116_type, type, (
% 0.77/0.80 tptp_fun_X1_116: $i > $i)).
% 0.77/0.80 tff(tptp_fun_X_61_type, type, (
% 0.77/0.80 tptp_fun_X_61: ( $i * $i ) > $i)).
% 0.77/0.80 tff(uri_ex_InversesOfFunctionalProperties_type, type, (
% 0.77/0.80 uri_ex_InversesOfFunctionalProperties: $i)).
% 0.77/0.80 tff(uri_owl_InverseFunctionalProperty_type, type, (
% 0.77/0.80 uri_owl_InverseFunctionalProperty: $i)).
% 0.77/0.80 tff(tptp_fun_Y_114_type, type, (
% 0.77/0.80 tptp_fun_Y_114: $i > $i)).
% 0.77/0.80 tff(tptp_fun_Y_42_type, type, (
% 0.77/0.80 tptp_fun_Y_42: ( $i * $i * $i ) > $i)).
% 0.77/0.80 tff(uri_owl_inverseOf_type, type, (
% 0.77/0.80 uri_owl_inverseOf: $i)).
% 0.77/0.80 tff(uri_owl_FunctionalProperty_type, type, (
% 0.77/0.80 uri_owl_FunctionalProperty: $i)).
% 0.77/0.80 tff(ip_type, type, (
% 0.77/0.80 ip: $i > $o)).
% 0.77/0.80 tff(tptp_fun_X_108_type, type, (
% 0.77/0.80 tptp_fun_X_108: ( $i * $i ) > $i)).
% 0.77/0.80 tff(tptp_fun_Y_107_type, type, (
% 0.77/0.80 tptp_fun_Y_107: ( $i * $i ) > $i)).
% 0.77/0.80 tff(icext_type, type, (
% 0.77/0.80 icext: ( $i * $i ) > $o)).
% 0.77/0.80 tff(tptp_fun_BNODE_z_140_type, type, (
% 0.77/0.80 tptp_fun_BNODE_z_140: $i)).
% 0.77/0.80 tff(uri_owl_someValuesFrom_type, type, (
% 0.77/0.80 uri_owl_someValuesFrom: $i)).
% 0.77/0.80 tff(uri_owl_onProperty_type, type, (
% 0.77/0.80 uri_owl_onProperty: $i)).
% 0.77/0.80 tff(uri_owl_Restriction_type, type, (
% 0.77/0.80 uri_owl_Restriction: $i)).
% 0.77/0.80 tff(uri_rdf_type_type, type, (
% 0.77/0.80 uri_rdf_type: $i)).
% 0.77/0.80 tff(uri_owl_equivalentClass_type, type, (
% 0.77/0.80 uri_owl_equivalentClass: $i)).
% 0.77/0.80 tff(ic_type, type, (
% 0.77/0.80 ic: $i > $o)).
% 0.77/0.80 tff(tptp_fun_X_67_type, type, (
% 0.77/0.80 tptp_fun_X_67: ( $i * $i ) > $i)).
% 0.77/0.80 tff(uri_rdfs_subClassOf_type, type, (
% 0.77/0.80 uri_rdfs_subClassOf: $i)).
% 0.77/0.80 tff(tptp_fun_X2_115_type, type, (
% 0.77/0.80 tptp_fun_X2_115: $i > $i)).
% 0.77/0.80 tff(tptp_fun_Y2_111_type, type, (
% 0.77/0.80 tptp_fun_Y2_111: $i > $i)).
% 0.77/0.80 tff(tptp_fun_X_113_type, type, (
% 0.77/0.80 tptp_fun_X_113: $i > $i)).
% 0.77/0.80 tff(tptp_fun_Y1_112_type, type, (
% 0.77/0.80 tptp_fun_Y1_112: $i > $i)).
% 0.77/0.80 tff(1,plain,
% 0.77/0.80 (^[P1: $i, P2: $i] : rewrite((~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))))))),
% 0.77/0.80 inference(bind,[status(th)],[])).
% 0.77/0.80 tff(2,plain,
% 0.77/0.80 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> ![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))),
% 0.77/0.80 inference(quant_intro,[status(thm)],[1])).
% 0.77/0.80 tff(3,plain,
% 0.77/0.80 (^[P1: $i, P2: $i] : refl((~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))))),
% 0.77/0.80 inference(bind,[status(th)],[])).
% 0.77/0.80 tff(4,plain,
% 0.77/0.80 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(quant_intro,[status(thm)],[3])).
% 0.77/0.81 tff(5,plain,
% 0.77/0.81 (^[P1: $i, P2: $i] : rewrite((~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))))),
% 0.77/0.81 inference(bind,[status(th)],[])).
% 0.77/0.81 tff(6,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(quant_intro,[status(thm)],[5])).
% 0.77/0.81 tff(7,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(transitivity,[status(thm)],[6, 4])).
% 0.77/0.81 tff(8,plain,
% 0.77/0.81 (^[P1: $i, P2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) <=> ((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))), rewrite((iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))) <=> (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))), ((((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) <=> (((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))), rewrite((((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) <=> (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))), ((((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) <=> (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))))),
% 0.77/0.81 inference(bind,[status(th)],[])).
% 0.77/0.81 tff(9,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) <=> ![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(quant_intro,[status(thm)],[8])).
% 0.77/0.81 tff(10,plain,
% 0.77/0.81 (^[P1: $i, P2: $i] : rewrite((((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (~(iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1)) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))),
% 0.77/0.81 inference(bind,[status(th)],[])).
% 0.77/0.81 tff(11,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (~(iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1)) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))))) <=> ![P1: $i, P2: $i] : (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))),
% 0.77/0.81 inference(quant_intro,[status(thm)],[10])).
% 0.77/0.81 tff(12,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) <=> ![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))),
% 0.77/0.81 inference(rewrite,[status(thm)],[])).
% 0.77/0.81 tff(13,plain,
% 0.77/0.81 (^[P1: $i, P2: $i] : rewrite((iext(uri_owl_inverseOf, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) <=> (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))),
% 0.77/0.81 inference(bind,[status(th)],[])).
% 0.77/0.81 tff(14,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) <=> ![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))),
% 0.77/0.81 inference(quant_intro,[status(thm)],[13])).
% 0.77/0.81 tff(15,axiom,(![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> ((ip(P1) & ip(P2)) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_inv')).
% 0.77/0.81 tff(16,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.77/0.81 tff(17,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (iext(uri_owl_inverseOf, P1, P2) <=> (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.77/0.81 tff(18,plain,(
% 0.77/0.81 ![P1: $i, P2: $i] : (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | ((~ip(P1)) | (~ip(P2)) | (~(iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1)) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(skolemize,[status(sab)],[17])).
% 0.77/0.81 tff(19,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) & (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.77/0.81 tff(20,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.77/0.81 tff(21,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (~((~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))) | (~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1)))))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[20, 7])).
% 0.77/0.81 tff(22,plain,
% 0.77/0.81 (![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[21, 2])).
% 0.77/0.81 tff(23,plain,
% 0.77/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.77/0.81 inference(rewrite,[status(thm)],[])).
% 0.77/0.81 tff(24,plain,
% 0.77/0.81 ((~((~(iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))) <=> (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.77/0.81 inference(rewrite,[status(thm)],[])).
% 0.77/0.81 tff(25,plain,
% 0.77/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~(iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.77/0.81 inference(monotonicity,[status(thm)],[24])).
% 0.77/0.81 tff(26,plain,
% 0.77/0.81 (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~(iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))) <=> ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.77/0.81 inference(transitivity,[status(thm)],[25, 23])).
% 0.77/0.81 tff(27,plain,
% 0.77/0.81 ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~(iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.77/0.81 inference(quant_inst,[status(thm)],[])).
% 0.77/0.81 tff(28,plain,
% 0.77/0.81 ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_108(P2, P1), tptp_fun_Y_107(P2, P1))) <=> iext(P2, tptp_fun_Y_107(P2, P1), tptp_fun_X_108(P2, P1))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.77/0.81 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.77/0.81 tff(29,plain,
% 0.77/0.81 (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))),
% 0.77/0.81 inference(unit_resolution,[status(thm)],[28, 22])).
% 0.77/0.81 tff(30,plain,
% 0.77/0.81 (((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | ((~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_107(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_108(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))),
% 0.77/0.82 inference(tautology,[status(thm)],[])).
% 0.77/0.82 tff(31,plain,
% 0.77/0.82 ((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.77/0.82 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.77/0.82 tff(32,plain,
% 0.77/0.82 (?[BNODE_z: $i] : (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)) <=> ?[BNODE_z: $i] : (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))),
% 0.77/0.82 inference(rewrite,[status(thm)],[])).
% 0.77/0.82 tff(33,plain,
% 0.77/0.82 (^[BNODE_z: $i] : trans(monotonicity(rewrite(((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) <=> (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf))), ((((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)) <=> ((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)))), rewrite(((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)) <=> (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))), ((((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)) <=> (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(34,plain,
% 0.77/0.82 (?[BNODE_z: $i] : (((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty)) <=> ?[BNODE_z: $i] : (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[33])).
% 0.77/0.82 tff(35,axiom,(?[BNODE_z: $i] : (((iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction)) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf)) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_premise_fullish_028_Inferred_Property_Characteristics_III')).
% 0.77/0.82 tff(36,plain,
% 0.77/0.82 (?[BNODE_z: $i] : (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.77/0.82 tff(37,plain,
% 0.77/0.82 (?[BNODE_z: $i] : (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z) & iext(uri_rdf_type, BNODE_z, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z, uri_owl_FunctionalProperty))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.77/0.82 tff(38,plain,(
% 0.77/0.82 iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) & iext(uri_rdf_type, BNODE_z!140, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)),
% 0.77/0.82 inference(skolemize,[status(sab)],[37])).
% 0.77/0.82 tff(39,plain,
% 0.77/0.82 (iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)),
% 0.77/0.82 inference(and_elim,[status(thm)],[38])).
% 0.77/0.82 tff(40,plain,
% 0.77/0.82 (iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf)),
% 0.77/0.82 inference(and_elim,[status(thm)],[38])).
% 0.77/0.82 tff(41,plain,
% 0.77/0.82 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(42,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[41])).
% 0.77/0.82 tff(43,plain,
% 0.77/0.82 (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(44,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[43])).
% 0.77/0.82 tff(45,plain,
% 0.77/0.82 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(46,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[45])).
% 0.77/0.82 tff(47,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(transitivity,[status(thm)],[46, 44])).
% 0.77/0.82 tff(48,plain,
% 0.77/0.82 (^[Z: $i, P: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))))), rewrite((~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite(((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))), rewrite((icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))) <=> (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))), rewrite((((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), (![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> (((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), rewrite((((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(49,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[48])).
% 0.77/0.82 tff(50,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.77/0.82 inference(rewrite,[status(thm)],[])).
% 0.77/0.82 tff(51,plain,
% 0.77/0.82 (^[Z: $i, P: $i, C: $i] : rewrite(((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))))),
% 0.77/0.82 inference(bind,[status(th)],[])).
% 0.77/0.82 tff(52,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y)))) <=> ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.77/0.82 inference(quant_intro,[status(thm)],[51])).
% 0.77/0.82 tff(53,axiom,(![Z: $i, P: $i, C: $i] : ((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_restrict_somevaluesfrom')).
% 0.77/0.82 tff(54,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.77/0.82 tff(55,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> ?[Y: $i] : (iext(P, X, Y) & icext(C, Y))))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.77/0.82 tff(56,plain,(
% 0.77/0.82 ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.77/0.82 inference(skolemize,[status(sab)],[55])).
% 0.77/0.82 tff(57,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.77/0.82 tff(58,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[57, 47])).
% 0.77/0.82 tff(59,plain,
% 0.77/0.82 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[58, 42])).
% 0.77/0.82 tff(60,plain,
% 0.77/0.82 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))),
% 0.77/0.82 inference(rewrite,[status(thm)],[])).
% 0.77/0.82 tff(61,plain,
% 0.77/0.82 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))),
% 0.77/0.82 inference(quant_inst,[status(thm)],[])).
% 0.77/0.82 tff(62,plain,
% 0.77/0.82 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!140, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!140, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y)))))))),
% 0.77/0.82 inference(modus_ponens,[status(thm)],[61, 60])).
% 0.77/0.82 tff(63,plain,
% 0.77/0.82 (![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y)))))))),
% 0.77/0.82 inference(unit_resolution,[status(thm)],[62, 59, 40, 39])).
% 0.77/0.82 tff(64,plain,
% 0.86/0.82 ((~![X: $i] : (~((~((~icext(BNODE_z!140, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y)))))))) | (~((~((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y)))))))),
% 0.86/0.82 inference(quant_inst,[status(thm)],[])).
% 0.86/0.82 tff(65,plain,
% 0.86/0.82 (~((~((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y))))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.86/0.82 tff(66,plain,
% 0.86/0.82 (((~((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y)))))) | ((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))),
% 0.86/0.82 inference(tautology,[status(thm)],[])).
% 0.86/0.82 tff(67,plain,
% 0.86/0.82 ((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.86/0.82 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.86/0.82 tff(68,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(69,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[68])).
% 0.86/0.82 tff(70,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(71,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[70])).
% 0.86/0.82 tff(72,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(73,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[72])).
% 0.86/0.82 tff(74,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(transitivity,[status(thm)],[73, 71])).
% 0.86/0.82 tff(75,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))), rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(76,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[75])).
% 0.86/0.82 tff(77,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(78,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[77])).
% 0.86/0.82 tff(79,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.86/0.82 inference(rewrite,[status(thm)],[])).
% 0.86/0.82 tff(80,plain,
% 0.86/0.82 (^[C1: $i, C2: $i] : rewrite((iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))))),
% 0.86/0.82 inference(bind,[status(th)],[])).
% 0.86/0.82 tff(81,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.86/0.82 inference(quant_intro,[status(thm)],[80])).
% 0.86/0.82 tff(82,axiom,(![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_eqdis_equivalentclass')).
% 0.86/0.82 tff(83,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.86/0.82 tff(84,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[83, 79])).
% 0.86/0.82 tff(85,plain,(
% 0.86/0.82 ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(skolemize,[status(sab)],[84])).
% 0.86/0.82 tff(86,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[85, 78])).
% 0.86/0.82 tff(87,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[86, 76])).
% 0.86/0.82 tff(88,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.86/0.82 inference(modus_ponens,[status(thm)],[87, 74])).
% 0.86/0.82 tff(89,plain,
% 0.86/0.82 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[88, 69])).
% 0.86/0.83 tff(90,plain,
% 0.86/0.83 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(91,plain,
% 0.86/0.83 ((~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))))) <=> (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(92,plain,
% 0.86/0.83 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))))))),
% 0.86/0.83 inference(monotonicity,[status(thm)],[91])).
% 0.86/0.83 tff(93,plain,
% 0.86/0.83 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))))))),
% 0.86/0.83 inference(transitivity,[status(thm)],[92, 90])).
% 0.86/0.83 tff(94,plain,
% 0.86/0.83 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(95,plain,
% 0.86/0.83 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.86/0.83 tff(96,plain,
% 0.86/0.83 (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[95, 89])).
% 0.86/0.83 tff(97,plain,
% 0.86/0.83 (((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!140)) | ((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))) <=> icext(BNODE_z!140, tptp_fun_X_67(BNODE_z!140, uri_ex_InversesOfFunctionalProperties))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(98,plain,
% 0.86/0.83 ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.86/0.83 tff(99,plain,
% 0.86/0.83 (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)),
% 0.86/0.83 inference(and_elim,[status(thm)],[38])).
% 0.86/0.83 tff(100,plain,
% 0.86/0.83 ((~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(101,plain,
% 0.86/0.83 ((~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))))) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.86/0.83 tff(102,plain,
% 0.86/0.83 (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[101, 98])).
% 0.86/0.83 tff(103,plain,
% 0.86/0.83 (((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X)))) | ![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(104,plain,
% 0.86/0.83 (![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[103, 102])).
% 0.86/0.83 tff(105,plain,
% 0.86/0.83 ((~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!140, X))) | (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(106,plain,
% 0.86/0.83 (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[105, 104])).
% 0.86/0.83 tff(107,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(108,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[107])).
% 0.86/0.83 tff(109,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(110,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[109])).
% 0.86/0.83 tff(111,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(112,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[111])).
% 0.86/0.83 tff(113,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(transitivity,[status(thm)],[112, 110])).
% 0.86/0.83 tff(114,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))), rewrite((iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))) <=> (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))), rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(115,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[114])).
% 0.86/0.83 tff(116,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(117,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[116])).
% 0.86/0.83 tff(118,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(119,plain,
% 0.86/0.83 (^[C1: $i, C2: $i] : rewrite((iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(120,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[119])).
% 0.86/0.83 tff(121,axiom,(![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_rdfsext_subclassof')).
% 0.86/0.83 tff(122,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.86/0.83 tff(123,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.86/0.83 tff(124,plain,(
% 0.86/0.83 ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))))),
% 0.86/0.83 inference(skolemize,[status(sab)],[123])).
% 0.86/0.83 tff(125,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.86/0.83 tff(126,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[125, 115])).
% 0.86/0.83 tff(127,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[126, 113])).
% 0.86/0.83 tff(128,plain,
% 0.86/0.83 (![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[127, 108])).
% 0.86/0.83 tff(129,plain,
% 0.86/0.83 ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~((~icext(C1, tptp_fun_X_61(C2, C1))) | icext(C2, tptp_fun_X_61(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(130,plain,
% 0.86/0.83 (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X))))))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.86/0.83 tff(131,plain,
% 0.86/0.83 (((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))) | (iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(132,plain,
% 0.86/0.83 (iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[131, 130])).
% 0.86/0.83 tff(133,plain,
% 0.86/0.83 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X))))) <=> ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(134,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[133])).
% 0.86/0.83 tff(135,plain,
% 0.86/0.83 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y))) <=> ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X))))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(136,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[135])).
% 0.86/0.83 tff(137,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(138,plain,
% 0.86/0.83 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_equivalentClass, X, Y) => (ic(X) & ic(Y))) <=> ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y))))),
% 0.86/0.83 inference(bind,[status(th)],[])).
% 0.86/0.83 tff(139,plain,
% 0.86/0.83 (![X: $i, Y: $i] : (iext(uri_owl_equivalentClass, X, Y) => (ic(X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.86/0.83 inference(quant_intro,[status(thm)],[138])).
% 0.86/0.83 tff(140,axiom,(![X: $i, Y: $i] : (iext(uri_owl_equivalentClass, X, Y) => (ic(X) & ic(Y)))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_prop_equivalentclass_ext')).
% 0.86/0.83 tff(141,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.86/0.83 tff(142,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[141, 137])).
% 0.86/0.83 tff(143,plain,(
% 0.86/0.83 ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.86/0.83 inference(skolemize,[status(sab)],[142])).
% 0.86/0.83 tff(144,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[143, 136])).
% 0.86/0.83 tff(145,plain,
% 0.86/0.83 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[144, 134])).
% 0.86/0.83 tff(146,plain,
% 0.86/0.83 (((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(147,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.83 inference(quant_inst,[status(thm)],[])).
% 0.86/0.83 tff(148,plain,
% 0.86/0.83 ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(Y)) | (~ic(X)))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!140)) | (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[147, 146])).
% 0.86/0.83 tff(149,plain,
% 0.86/0.83 (~((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[148, 145, 99])).
% 0.86/0.83 tff(150,plain,
% 0.86/0.83 (((~ic(BNODE_z!140)) | (~ic(uri_ex_InversesOfFunctionalProperties))) | ic(uri_ex_InversesOfFunctionalProperties)),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(151,plain,
% 0.86/0.83 (ic(uri_ex_InversesOfFunctionalProperties)),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.86/0.83 tff(152,plain,
% 0.86/0.83 ((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) <=> (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty))),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(153,axiom,(~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III')).
% 0.86/0.83 tff(154,plain,
% 0.86/0.83 (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.86/0.83 tff(155,plain,
% 0.86/0.83 (ic(uri_owl_InverseFunctionalProperty) <=> ic(uri_owl_InverseFunctionalProperty)),
% 0.86/0.83 inference(rewrite,[status(thm)],[])).
% 0.86/0.83 tff(156,axiom,(ic(uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_inversefunctionalproperty_type')).
% 0.86/0.83 tff(157,plain,
% 0.86/0.83 (ic(uri_owl_InverseFunctionalProperty)),
% 0.86/0.83 inference(modus_ponens,[status(thm)],[156, 155])).
% 0.86/0.83 tff(158,plain,
% 0.86/0.83 ((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(159,plain,
% 0.86/0.83 ((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[158, 157, 154])).
% 0.86/0.83 tff(160,plain,
% 0.86/0.83 (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[159, 151, 132])).
% 0.86/0.83 tff(161,plain,
% 0.86/0.83 (((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(162,plain,
% 0.86/0.83 (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[161, 160])).
% 0.86/0.83 tff(163,plain,
% 0.86/0.83 ((~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(164,plain,
% 0.86/0.83 ((~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.86/0.83 tff(165,plain,
% 0.86/0.83 (icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[164, 106])).
% 0.86/0.83 tff(166,plain,
% 0.86/0.83 ((~((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(167,plain,
% 0.86/0.83 ((~((~icext(BNODE_z!140, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.86/0.83 tff(168,plain,
% 0.86/0.83 (~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[167, 67])).
% 0.86/0.83 tff(169,plain,
% 0.86/0.83 (((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(170,plain,
% 0.86/0.83 (iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.86/0.83 inference(unit_resolution,[status(thm)],[169, 168])).
% 0.86/0.83 tff(171,plain,
% 0.86/0.83 ((~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.86/0.83 inference(tautology,[status(thm)],[])).
% 0.86/0.83 tff(172,plain,
% 0.86/0.83 ((~((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[171, 170])).
% 0.86/0.84 tff(173,plain,
% 0.86/0.84 (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[172, 31])).
% 0.86/0.84 tff(174,plain,
% 0.86/0.84 (((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))) | ![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(175,plain,
% 0.86/0.84 (![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[174, 173])).
% 0.86/0.84 tff(176,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))) | (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(177,plain,
% 0.86/0.84 (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[176, 175])).
% 0.86/0.84 tff(178,plain,
% 0.86/0.84 (^[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)))))))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(179,plain,
% 0.86/0.84 (![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))))))))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[178])).
% 0.86/0.84 tff(180,plain,
% 0.86/0.84 (^[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))))))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(181,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[180])).
% 0.86/0.84 tff(182,plain,
% 0.86/0.84 (^[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))))))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(183,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[182])).
% 0.86/0.84 tff(184,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(transitivity,[status(thm)],[183, 181])).
% 0.86/0.84 tff(185,plain,
% 0.86/0.84 (^[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)))))))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(186,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[185])).
% 0.86/0.84 tff(187,plain,
% 0.86/0.84 (^[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)))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(188,plain,
% 0.86/0.84 (![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))))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[187])).
% 0.86/0.84 tff(189,plain,
% 0.86/0.84 (![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))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(190,plain,
% 0.86/0.84 (^[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)))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(191,plain,
% 0.86/0.84 (![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))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[190])).
% 0.86/0.84 tff(192,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/sandbox/benchmark/Axioms/SWB001+0.ax','owl_char_inversefunctional')).
% 0.86/0.84 tff(193,plain,
% 0.86/0.84 (![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))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.86/0.84 tff(194,plain,
% 0.86/0.84 (![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))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[193, 189])).
% 0.86/0.84 tff(195,plain,(
% 0.86/0.84 ![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)))))))),
% 0.86/0.84 inference(skolemize,[status(sab)],[194])).
% 0.86/0.84 tff(196,plain,
% 0.86/0.84 (![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))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[195, 188])).
% 0.86/0.84 tff(197,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[196, 186])).
% 0.86/0.84 tff(198,plain,
% 0.86/0.84 (![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)))))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[197, 184])).
% 0.86/0.84 tff(199,plain,
% 0.86/0.84 (![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))))))))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[198, 179])).
% 0.86/0.84 tff(200,plain,
% 0.86/0.84 ((~![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, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y))))))))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(201,plain,
% 0.86/0.84 (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)))))))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[200, 199])).
% 0.86/0.84 tff(202,plain,
% 0.86/0.84 (((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y))))))))) | (icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(203,plain,
% 0.86/0.84 (icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.86/0.84 tff(204,plain,
% 0.86/0.84 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X))))) <=> ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(205,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[204])).
% 0.86/0.84 tff(206,plain,
% 0.86/0.84 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y))) <=> ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(207,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[206])).
% 0.86/0.84 tff(208,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(209,plain,
% 0.86/0.84 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_inverseOf, X, Y) => (ip(X) & ip(Y))) <=> ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(210,plain,
% 0.86/0.84 (![X: $i, Y: $i] : (iext(uri_owl_inverseOf, X, Y) => (ip(X) & ip(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.86/0.84 inference(quant_intro,[status(thm)],[209])).
% 0.86/0.84 tff(211,axiom,(![X: $i, Y: $i] : (iext(uri_owl_inverseOf, X, Y) => (ip(X) & ip(Y)))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_prop_inverseof_ext')).
% 0.86/0.84 tff(212,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[211, 210])).
% 0.86/0.84 tff(213,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[212, 208])).
% 0.86/0.84 tff(214,plain,(
% 0.86/0.84 ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.86/0.84 inference(skolemize,[status(sab)],[213])).
% 0.86/0.84 tff(215,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[214, 207])).
% 0.86/0.84 tff(216,plain,
% 0.86/0.84 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[215, 205])).
% 0.86/0.84 tff(217,plain,
% 0.86/0.84 (((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.86/0.84 inference(rewrite,[status(thm)],[])).
% 0.86/0.84 tff(218,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(219,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.84 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.86/0.84 tff(220,plain,
% 0.86/0.84 (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[219, 216, 170])).
% 0.86/0.84 tff(221,plain,
% 0.86/0.84 (((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(222,plain,
% 0.86/0.84 (ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[221, 220])).
% 0.86/0.84 tff(223,plain,
% 0.86/0.84 (((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(224,plain,
% 0.86/0.84 (~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[223, 160])).
% 0.86/0.84 tff(225,plain,
% 0.86/0.84 ((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(226,plain,
% 0.86/0.84 ((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~ip(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[225, 224])).
% 0.86/0.84 tff(227,plain,
% 0.86/0.84 (~((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[226, 222, 203])).
% 0.86/0.84 tff(228,plain,
% 0.86/0.84 (((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(229,plain,
% 0.86/0.84 (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[228, 227])).
% 0.86/0.84 tff(230,plain,
% 0.86/0.84 ((~(iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(231,plain,
% 0.86/0.84 ((~(iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[230, 229])).
% 0.86/0.84 tff(232,plain,
% 0.86/0.84 (iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[231, 177])).
% 0.86/0.84 tff(233,plain,
% 0.86/0.84 ((~![X: $i, Y: $i] : (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))) | (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.84 inference(quant_inst,[status(thm)],[])).
% 0.86/0.84 tff(234,plain,
% 0.86/0.84 (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[233, 175])).
% 0.86/0.84 tff(235,plain,
% 0.86/0.84 (((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(236,plain,
% 0.86/0.84 (iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[235, 227])).
% 0.86/0.84 tff(237,plain,
% 0.86/0.84 ((~(iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(tautology,[status(thm)],[])).
% 0.86/0.84 tff(238,plain,
% 0.86/0.84 ((~(iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[237, 236])).
% 0.86/0.84 tff(239,plain,
% 0.86/0.84 (iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.84 inference(unit_resolution,[status(thm)],[238, 234])).
% 0.86/0.84 tff(240,plain,
% 0.86/0.84 (^[P: $i] : rewrite((~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))))))),
% 0.86/0.84 inference(bind,[status(th)],[])).
% 0.86/0.84 tff(241,plain,
% 0.86/0.84 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[240])).
% 0.86/0.85 tff(242,plain,
% 0.86/0.85 (^[P: $i] : refl((~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))))),
% 0.86/0.85 inference(bind,[status(th)],[])).
% 0.86/0.85 tff(243,plain,
% 0.86/0.85 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[242])).
% 0.86/0.85 tff(244,plain,
% 0.86/0.85 (^[P: $i] : rewrite((~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))))),
% 0.86/0.85 inference(bind,[status(th)],[])).
% 0.86/0.85 tff(245,plain,
% 0.86/0.85 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[244])).
% 0.86/0.85 tff(246,plain,
% 0.86/0.85 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(transitivity,[status(thm)],[245, 243])).
% 0.86/0.85 tff(247,plain,
% 0.86/0.85 (^[P: $i] : trans(monotonicity(rewrite(((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) <=> ((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))), trans(monotonicity(rewrite((~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))) <=> (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))), ((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))), rewrite((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))), ((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))), ((((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))))) <=> (((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))))), rewrite((((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) <=> (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))), ((((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))))) <=> (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))))),
% 0.86/0.85 inference(bind,[status(th)],[])).
% 0.86/0.85 tff(248,plain,
% 0.86/0.85 (![P: $i] : (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))))) <=> ![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[247])).
% 0.86/0.85 tff(249,plain,
% 0.86/0.85 (^[P: $i] : rewrite((((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))))) <=> (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))))))),
% 0.86/0.85 inference(bind,[status(th)],[])).
% 0.86/0.85 tff(250,plain,
% 0.86/0.85 (![P: $i] : (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))))) <=> ![P: $i] : (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[249])).
% 0.86/0.85 tff(251,plain,
% 0.86/0.85 (![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) <=> ![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2))))),
% 0.86/0.85 inference(rewrite,[status(thm)],[])).
% 0.86/0.85 tff(252,plain,
% 0.86/0.85 (^[P: $i] : rewrite((icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((iext(P, X, Y1) & iext(P, X, Y2)) => (Y1 = Y2)))) <=> (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))))),
% 0.86/0.85 inference(bind,[status(th)],[])).
% 0.86/0.85 tff(253,plain,
% 0.86/0.85 (![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((iext(P, X, Y1) & iext(P, X, Y2)) => (Y1 = Y2)))) <=> ![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2))))),
% 0.86/0.85 inference(quant_intro,[status(thm)],[252])).
% 0.86/0.85 tff(254,axiom,(![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((iext(P, X, Y1) & iext(P, X, Y2)) => (Y1 = Y2))))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_char_functional')).
% 0.86/0.85 tff(255,plain,
% 0.86/0.85 (![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.86/0.85 tff(256,plain,
% 0.86/0.85 (![P: $i] : (icext(uri_owl_FunctionalProperty, P) <=> (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[255, 251])).
% 0.86/0.85 tff(257,plain,(
% 0.86/0.85 ![P: $i] : (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | ((~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)))))))),
% 0.86/0.85 inference(skolemize,[status(sab)],[256])).
% 0.86/0.85 tff(258,plain,
% 0.86/0.85 (![P: $i] : (((~icext(uri_owl_FunctionalProperty, P)) | (ip(P) & ![X: $i, Y1: $i, Y2: $i] : ((~(iext(P, X, Y1) & iext(P, X, Y2))) | (Y1 = Y2)))) & (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P)) & iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))) | (tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P))))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[257, 250])).
% 0.86/0.85 tff(259,plain,
% 0.86/0.85 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[258, 248])).
% 0.86/0.85 tff(260,plain,
% 0.86/0.85 (![P: $i] : (~((~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))) | (~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P)))))))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[259, 246])).
% 0.86/0.85 tff(261,plain,
% 0.86/0.85 (![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[260, 241])).
% 0.86/0.85 tff(262,plain,
% 0.86/0.85 (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.86/0.85 inference(rewrite,[status(thm)],[])).
% 0.86/0.85 tff(263,plain,
% 0.86/0.85 ((~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))) <=> (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.86/0.85 inference(rewrite,[status(thm)],[])).
% 0.86/0.85 tff(264,plain,
% 0.86/0.85 (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.86/0.85 inference(monotonicity,[status(thm)],[263])).
% 0.86/0.85 tff(265,plain,
% 0.86/0.85 (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.86/0.85 inference(transitivity,[status(thm)],[264, 262])).
% 0.86/0.85 tff(266,plain,
% 0.86/0.85 ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.86/0.85 inference(quant_inst,[status(thm)],[])).
% 0.86/0.85 tff(267,plain,
% 0.86/0.85 ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_112(P) = tptp_fun_Y2_111(P)) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y1_112(P))) | (~iext(P, tptp_fun_X_113(P), tptp_fun_Y2_111(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))) | (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.86/0.85 inference(modus_ponens,[status(thm)],[266, 265])).
% 0.86/0.85 tff(268,plain,
% 0.86/0.85 (~((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))),
% 0.86/0.85 inference(unit_resolution,[status(thm)],[267, 261])).
% 0.86/0.85 tff(269,plain,
% 0.86/0.85 (((~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~((tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_112(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_113(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_111(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))) | ((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))),
% 0.86/0.85 inference(tautology,[status(thm)],[])).
% 0.86/0.85 tff(270,plain,
% 0.86/0.85 ((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.86/0.85 inference(unit_resolution,[status(thm)],[269, 268])).
% 0.86/0.85 tff(271,plain,
% 0.86/0.85 (((~iext(uri_owl_inverseOf, tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.86/0.86 inference(tautology,[status(thm)],[])).
% 0.86/0.86 tff(272,plain,
% 0.86/0.86 (icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.86/0.86 inference(unit_resolution,[status(thm)],[271, 168])).
% 0.86/0.86 tff(273,plain,
% 0.86/0.86 ((~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.86/0.86 inference(tautology,[status(thm)],[])).
% 0.86/0.86 tff(274,plain,
% 0.86/0.86 ((~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))) | (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.86/0.86 inference(unit_resolution,[status(thm)],[273, 272])).
% 0.86/0.86 tff(275,plain,
% 0.86/0.86 (~((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))),
% 0.86/0.86 inference(unit_resolution,[status(thm)],[274, 270])).
% 0.86/0.86 tff(276,plain,
% 0.86/0.86 (((~ip(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))) | ![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))),
% 0.86/0.86 inference(tautology,[status(thm)],[])).
% 0.86/0.86 tff(277,plain,
% 0.86/0.86 (![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))),
% 0.86/0.86 inference(unit_resolution,[status(thm)],[276, 275])).
% 0.86/0.86 tff(278,plain,
% 0.86/0.86 (((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | (~(tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.86/0.86 inference(tautology,[status(thm)],[])).
% 0.86/0.86 tff(279,plain,
% 0.86/0.86 (~(tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.86/0.86 inference(unit_resolution,[status(thm)],[278, 227])).
% 0.86/0.86 tff(280,plain,
% 0.86/0.86 (((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) <=> ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.86/0.86 inference(rewrite,[status(thm)],[])).
% 0.86/0.86 tff(281,plain,
% 0.86/0.86 (((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) <=> ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.90/0.86 inference(rewrite,[status(thm)],[])).
% 0.90/0.86 tff(282,plain,
% 0.90/0.86 (((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) <=> ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.90/0.86 inference(monotonicity,[status(thm)],[281])).
% 0.90/0.86 tff(283,plain,
% 0.90/0.86 (((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) <=> ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.90/0.87 inference(transitivity,[status(thm)],[282, 280])).
% 0.90/0.87 tff(284,plain,
% 0.90/0.87 ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.90/0.87 inference(quant_inst,[status(thm)],[])).
% 0.90/0.87 tff(285,plain,
% 0.90/0.87 ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_115(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_42(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_114(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_116(tptp_fun_X_61(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.90/0.87 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.90/0.87 tff(286,plain,
% 0.90/0.87 ($false),
% 0.90/0.87 inference(unit_resolution,[status(thm)],[285, 279, 277, 239, 232])).
% 0.90/0.87 % SZS output end Proof
%------------------------------------------------------------------------------