Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : SWB028+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:29:41 AM UTC 2025

% Result   : Theorem 0.19s 0.37s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWB028+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n013.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Jun 20 07:53:08 EDT 2025
% 0.11/0.33  % CPUTime    : 
% 0.19/0.37  % SZS status Theorem
% 0.19/0.37  % SZS output start Proof
% 0.19/0.37  tff(iext_type, type, (
% 0.19/0.37     iext: ( $i * $i * $i ) > $o)).
% 0.19/0.37  tff(tptp_fun_X2_4_type, type, (
% 0.19/0.37     tptp_fun_X2_4: $i > $i)).
% 0.19/0.37  tff(tptp_fun_X_6_type, type, (
% 0.19/0.37     tptp_fun_X_6: ( $i * $i ) > $i)).
% 0.19/0.37  tff(uri_ex_InversesOfFunctionalProperties_type, type, (
% 0.19/0.37     uri_ex_InversesOfFunctionalProperties: $i)).
% 0.19/0.37  tff(uri_owl_InverseFunctionalProperty_type, type, (
% 0.19/0.37     uri_owl_InverseFunctionalProperty: $i)).
% 0.19/0.37  tff(tptp_fun_Y_3_type, type, (
% 0.19/0.37     tptp_fun_Y_3: $i > $i)).
% 0.19/0.37  tff(tptp_fun_Y_8_type, type, (
% 0.19/0.37     tptp_fun_Y_8: ( $i * $i * $i ) > $i)).
% 0.19/0.37  tff(uri_owl_inverseOf_type, type, (
% 0.19/0.37     uri_owl_inverseOf: $i)).
% 0.19/0.37  tff(uri_owl_FunctionalProperty_type, type, (
% 0.19/0.37     uri_owl_FunctionalProperty: $i)).
% 0.19/0.37  tff(ip_type, type, (
% 0.19/0.37     ip: $i > $o)).
% 0.19/0.37  tff(tptp_fun_X_10_type, type, (
% 0.19/0.37     tptp_fun_X_10: ( $i * $i ) > $i)).
% 0.19/0.37  tff(tptp_fun_Y_9_type, type, (
% 0.19/0.37     tptp_fun_Y_9: ( $i * $i ) > $i)).
% 0.19/0.37  tff(icext_type, type, (
% 0.19/0.37     icext: ( $i * $i ) > $o)).
% 0.19/0.37  tff(tptp_fun_BNODE_z_11_type, type, (
% 0.19/0.37     tptp_fun_BNODE_z_11: $i)).
% 0.19/0.37  tff(uri_owl_someValuesFrom_type, type, (
% 0.19/0.37     uri_owl_someValuesFrom: $i)).
% 0.19/0.37  tff(uri_owl_onProperty_type, type, (
% 0.19/0.37     uri_owl_onProperty: $i)).
% 0.19/0.37  tff(uri_owl_Restriction_type, type, (
% 0.19/0.37     uri_owl_Restriction: $i)).
% 0.19/0.37  tff(uri_rdf_type_type, type, (
% 0.19/0.37     uri_rdf_type: $i)).
% 0.19/0.37  tff(uri_owl_equivalentClass_type, type, (
% 0.19/0.37     uri_owl_equivalentClass: $i)).
% 0.19/0.37  tff(ic_type, type, (
% 0.19/0.37     ic: $i > $o)).
% 0.19/0.37  tff(tptp_fun_X_7_type, type, (
% 0.19/0.37     tptp_fun_X_7: ( $i * $i ) > $i)).
% 0.19/0.37  tff(uri_rdfs_subClassOf_type, type, (
% 0.19/0.37     uri_rdfs_subClassOf: $i)).
% 0.19/0.37  tff(tptp_fun_X1_5_type, type, (
% 0.19/0.37     tptp_fun_X1_5: $i > $i)).
% 0.19/0.37  tff(tptp_fun_Y2_0_type, type, (
% 0.19/0.37     tptp_fun_Y2_0: $i > $i)).
% 0.19/0.37  tff(tptp_fun_Y1_1_type, type, (
% 0.19/0.37     tptp_fun_Y1_1: $i > $i)).
% 0.19/0.37  tff(tptp_fun_X_2_type, type, (
% 0.19/0.37     tptp_fun_X_2: $i > $i)).
% 0.19/0.37  tff(1,plain,
% 0.19/0.37      (^[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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))) <=> (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))))))),
% 0.19/0.37      inference(bind,[status(th)],[])).
% 0.19/0.37  tff(2,plain,
% 0.19/0.37      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))) <=> ![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))),
% 0.19/0.37      inference(quant_intro,[status(thm)],[1])).
% 0.19/0.37  tff(3,plain,
% 0.19/0.37      (^[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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))))),
% 0.19/0.37      inference(bind,[status(th)],[])).
% 0.19/0.37  tff(4,plain,
% 0.19/0.37      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[3])).
% 0.19/0.38  tff(5,plain,
% 0.19/0.38      (^[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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(6,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[5])).
% 0.19/0.38  tff(7,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(transitivity,[status(thm)],[6, 4])).
% 0.19/0.38  tff(8,plain,
% 0.19/0.38      (^[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))))))), trans(monotonicity(rewrite((~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))) <=> (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))), ((iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))) <=> (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))), rewrite((iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))) <=> (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))), ((iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))) <=> (iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(9,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[8])).
% 0.19/0.38  tff(10,plain,
% 0.19/0.38      (^[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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(11,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[10])).
% 0.19/0.38  tff(12,plain,
% 0.19/0.38      (![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))))),
% 0.19/0.38      inference(rewrite,[status(thm)],[])).
% 0.19/0.38  tff(13,plain,
% 0.19/0.38      (^[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)))))),
% 0.19/0.38      inference(bind,[status(th)],[])).
% 0.19/0.38  tff(14,plain,
% 0.19/0.38      (![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))))),
% 0.19/0.38      inference(quant_intro,[status(thm)],[13])).
% 0.19/0.38  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/theBenchmark.p','owl_inv')).
% 0.19/0.38  tff(16,plain,
% 0.19/0.38      (![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))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[15, 14])).
% 0.19/0.38  tff(17,plain,
% 0.19/0.38      (![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))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[16, 12])).
% 0.19/0.38  tff(18,plain,(
% 0.19/0.38      ![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))))),
% 0.19/0.38      inference(skolemize,[status(sab)],[17])).
% 0.19/0.38  tff(19,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[18, 11])).
% 0.19/0.38  tff(20,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[19, 9])).
% 0.19/0.38  tff(21,plain,
% 0.19/0.38      (![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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1))))))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[20, 7])).
% 0.19/0.38  tff(22,plain,
% 0.19/0.38      (![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(P2, P1)))))) | (~((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))))))))),
% 0.19/0.38      inference(modus_ponens,[status(thm)],[21, 2])).
% 0.19/0.38  tff(23,plain,
% 0.19/0.38      (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.19/0.38      inference(rewrite,[status(thm)],[])).
% 0.19/0.38  tff(24,plain,
% 0.19/0.38      ((~((~(iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))) <=> (~((~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.19/0.39      inference(rewrite,[status(thm)],[])).
% 0.19/0.39  tff(25,plain,
% 0.19/0.39      (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.19/0.39      inference(monotonicity,[status(thm)],[24])).
% 0.19/0.39  tff(26,plain,
% 0.19/0.39      (((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(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_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))))),
% 0.19/0.39      inference(transitivity,[status(thm)],[25, 23])).
% 0.19/0.39  tff(27,plain,
% 0.19/0.39      ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.19/0.39      inference(quant_inst,[status(thm)],[])).
% 0.19/0.39  tff(28,plain,
% 0.19/0.39      ((~![P1: $i, P2: $i] : (~((~(iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | (~(iext(P1, tptp_fun_X_10(P2, P1), tptp_fun_Y_9(P2, P1)) <=> iext(P2, tptp_fun_Y_9(P2, P1), tptp_fun_X_10(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_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))))),
% 0.19/0.39      inference(modus_ponens,[status(thm)],[27, 26])).
% 0.19/0.39  tff(29,plain,
% 0.19/0.39      (~((~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))))),
% 0.19/0.39      inference(unit_resolution,[status(thm)],[28, 22])).
% 0.19/0.39  tff(30,plain,
% 0.19/0.39      (((~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_9(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X_10(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))),
% 0.19/0.40      inference(tautology,[status(thm)],[])).
% 0.19/0.40  tff(31,plain,
% 0.19/0.40      ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.19/0.40      inference(unit_resolution,[status(thm)],[30, 29])).
% 0.19/0.40  tff(32,plain,
% 0.19/0.40      (?[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))),
% 0.19/0.40      inference(rewrite,[status(thm)],[])).
% 0.19/0.40  tff(33,plain,
% 0.19/0.40      (^[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))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(34,plain,
% 0.19/0.40      (?[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))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[33])).
% 0.19/0.40  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')).
% 0.19/0.40  tff(36,plain,
% 0.19/0.40      (?[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))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[35, 34])).
% 0.19/0.40  tff(37,plain,
% 0.19/0.40      (?[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))),
% 0.19/0.40      inference(modus_ponens,[status(thm)],[36, 32])).
% 0.19/0.40  tff(38,plain,(
% 0.19/0.40      iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11) & iext(uri_rdf_type, BNODE_z!11, uri_owl_Restriction) & iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf) & iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)),
% 0.19/0.40      inference(skolemize,[status(sab)],[37])).
% 0.19/0.40  tff(39,plain,
% 0.19/0.40      (iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)),
% 0.19/0.40      inference(and_elim,[status(thm)],[38])).
% 0.19/0.40  tff(40,plain,
% 0.19/0.40      (iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)),
% 0.19/0.40      inference(and_elim,[status(thm)],[38])).
% 0.19/0.40  tff(41,plain,
% 0.19/0.40      (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(42,plain,
% 0.19/0.40      (![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[41])).
% 0.19/0.40  tff(43,plain,
% 0.19/0.40      (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(44,plain,
% 0.19/0.40      (![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[43])).
% 0.19/0.40  tff(45,plain,
% 0.19/0.40      (![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.40      inference(transitivity,[status(thm)],[44, 42])).
% 0.19/0.40  tff(46,plain,
% 0.19/0.40      (^[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_someValuesFrom, Z, C)) | (~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_onProperty, Z, P))))))), rewrite((~(~((~iext(uri_owl_someValuesFrom, Z, C)) | (~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_onProperty, Z, P))) <=> ((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite(((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P)) & icext(C, tptp_fun_Y_8(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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (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)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), rewrite((((~iext(uri_owl_someValuesFrom, Z, C)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(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_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (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)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))))),
% 0.19/0.40      inference(bind,[status(th)],[])).
% 0.19/0.40  tff(47,plain,
% 0.19/0.40      (![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_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (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)) | (~((~iext(P, X, tptp_fun_Y_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.40      inference(quant_intro,[status(thm)],[46])).
% 0.19/0.40  tff(48,plain,
% 0.19/0.40      (![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))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(49,plain,
% 0.19/0.41      (^[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)))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(50,plain,
% 0.19/0.41      (![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))))),
% 0.19/0.41      inference(quant_intro,[status(thm)],[49])).
% 0.19/0.41  tff(51,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/theBenchmark.p','owl_restrict_somevaluesfrom')).
% 0.19/0.41  tff(52,plain,
% 0.19/0.41      (![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))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[51, 50])).
% 0.19/0.41  tff(53,plain,
% 0.19/0.41      (![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))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[52, 48])).
% 0.19/0.41  tff(54,plain,(
% 0.19/0.41      ![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_8(X, C, P)) & icext(C, tptp_fun_Y_8(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.19/0.41      inference(skolemize,[status(sab)],[53])).
% 0.19/0.41  tff(55,plain,
% 0.19/0.41      (![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[54, 47])).
% 0.19/0.41  tff(56,plain,
% 0.19/0.41      (![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[55, 45])).
% 0.19/0.41  tff(57,plain,
% 0.19/0.41      (((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))) <=> ((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(58,plain,
% 0.19/0.41      (((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))) <=> ((~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(rewrite,[status(thm)],[])).
% 0.19/0.41  tff(59,plain,
% 0.19/0.41      (^[X: $i] : rewrite((~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))) <=> (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(60,plain,
% 0.19/0.41      (![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))) <=> ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))),
% 0.19/0.41      inference(quant_intro,[status(thm)],[59])).
% 0.19/0.41  tff(61,plain,
% 0.19/0.41      (((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y)))))))) <=> ((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(monotonicity,[status(thm)],[60])).
% 0.19/0.41  tff(62,plain,
% 0.19/0.41      (((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(transitivity,[status(thm)],[61, 58])).
% 0.19/0.41  tff(63,plain,
% 0.19/0.41      (((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))) <=> ((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))))),
% 0.19/0.41      inference(monotonicity,[status(thm)],[62])).
% 0.19/0.41  tff(64,plain,
% 0.19/0.41      (((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))) <=> ((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))))),
% 0.19/0.41      inference(transitivity,[status(thm)],[63, 57])).
% 0.19/0.41  tff(65,plain,
% 0.19/0.41      ((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | ![X: $i] : (~((~((~icext(BNODE_z!11, X)) | (~((~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))))))),
% 0.19/0.41      inference(quant_inst,[status(thm)],[])).
% 0.19/0.41  tff(66,plain,
% 0.19/0.41      ((~![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_8(X, C, P))) | (~icext(C, tptp_fun_Y_8(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)) | (~iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)) | ![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))),
% 0.19/0.41      inference(modus_ponens,[status(thm)],[65, 64])).
% 0.19/0.41  tff(67,plain,
% 0.19/0.41      (![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))),
% 0.19/0.41      inference(unit_resolution,[status(thm)],[66, 56, 40, 39])).
% 0.19/0.41  tff(68,plain,
% 0.19/0.41      ((~![X: $i] : (~((~(icext(BNODE_z!11, X) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, X, Y))))) | (~((~icext(BNODE_z!11, X)) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, X, tptp_fun_Y_8(X, uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))) | (~((~(icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y))))) | (~((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))))),
% 0.19/0.41      inference(quant_inst,[status(thm)],[])).
% 0.19/0.41  tff(69,plain,
% 0.19/0.41      (~((~(icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y))))) | (~((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))))),
% 0.19/0.41      inference(unit_resolution,[status(thm)],[68, 67])).
% 0.19/0.41  tff(70,plain,
% 0.19/0.41      (((~(icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y))))) | (~((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | ((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))),
% 0.19/0.41      inference(tautology,[status(thm)],[])).
% 0.19/0.41  tff(71,plain,
% 0.19/0.41      ((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.19/0.41      inference(unit_resolution,[status(thm)],[70, 69])).
% 0.19/0.41  tff(72,plain,
% 0.19/0.41      (^[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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))) <=> (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))))))),
% 0.19/0.41      inference(bind,[status(th)],[])).
% 0.19/0.41  tff(73,plain,
% 0.19/0.41      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[72])).
% 0.19/0.42  tff(74,plain,
% 0.19/0.42      (^[C1: $i, C2: $i] : refl((~((~((~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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(75,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[74])).
% 0.19/0.42  tff(76,plain,
% 0.19/0.42      (^[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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(77,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[76])).
% 0.19/0.42  tff(78,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(transitivity,[status(thm)],[77, 75])).
% 0.19/0.42  tff(79,plain,
% 0.19/0.42      (^[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(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), trans(monotonicity(rewrite((~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))) <=> (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))), 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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(80,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[79])).
% 0.19/0.42  tff(81,plain,
% 0.19/0.42      (^[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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(82,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(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(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[81])).
% 0.19/0.42  tff(83,plain,
% 0.19/0.42      (![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))))),
% 0.19/0.42      inference(rewrite,[status(thm)],[])).
% 0.19/0.42  tff(84,plain,
% 0.19/0.42      (^[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)))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(85,plain,
% 0.19/0.42      (![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))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[84])).
% 0.19/0.42  tff(86,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/theBenchmark.p','owl_eqdis_equivalentclass')).
% 0.19/0.42  tff(87,plain,
% 0.19/0.42      (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[86, 85])).
% 0.19/0.42  tff(88,plain,
% 0.19/0.42      (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[87, 83])).
% 0.19/0.42  tff(89,plain,(
% 0.19/0.42      ![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))))),
% 0.19/0.42      inference(skolemize,[status(sab)],[88])).
% 0.19/0.42  tff(90,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[89, 82])).
% 0.19/0.42  tff(91,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[90, 80])).
% 0.19/0.42  tff(92,plain,
% 0.19/0.42      (![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_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1))))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[91, 78])).
% 0.19/0.42  tff(93,plain,
% 0.19/0.42      (![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.19/0.42      inference(modus_ponens,[status(thm)],[92, 73])).
% 0.19/0.42  tff(94,plain,
% 0.19/0.42      ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_7(C2, C1)) <=> icext(C2, tptp_fun_X_7(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))))))))),
% 0.19/0.42      inference(quant_inst,[status(thm)],[])).
% 0.19/0.42  tff(95,plain,
% 0.19/0.42      (~((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))))))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[94, 93])).
% 0.19/0.42  tff(96,plain,
% 0.19/0.42      (((~(iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_7(BNODE_z!11, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))))),
% 0.19/0.42      inference(tautology,[status(thm)],[])).
% 0.19/0.42  tff(97,plain,
% 0.19/0.42      ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[96, 95])).
% 0.19/0.42  tff(98,plain,
% 0.19/0.42      (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)),
% 0.19/0.42      inference(and_elim,[status(thm)],[38])).
% 0.19/0.42  tff(99,plain,
% 0.19/0.42      ((~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))))),
% 0.19/0.42      inference(tautology,[status(thm)],[])).
% 0.19/0.42  tff(100,plain,
% 0.19/0.42      ((~((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))))) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[99, 98])).
% 0.19/0.42  tff(101,plain,
% 0.19/0.42      (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[100, 97])).
% 0.19/0.42  tff(102,plain,
% 0.19/0.42      (((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X)))) | ![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))),
% 0.19/0.42      inference(tautology,[status(thm)],[])).
% 0.19/0.42  tff(103,plain,
% 0.19/0.42      (![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[102, 101])).
% 0.19/0.42  tff(104,plain,
% 0.19/0.42      ((~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))) | (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.42      inference(quant_inst,[status(thm)],[])).
% 0.19/0.42  tff(105,plain,
% 0.19/0.42      (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.42      inference(unit_resolution,[status(thm)],[104, 103])).
% 0.19/0.42  tff(106,plain,
% 0.19/0.42      (^[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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(107,plain,
% 0.19/0.42      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[106])).
% 0.19/0.42  tff(108,plain,
% 0.19/0.42      (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(109,plain,
% 0.19/0.42      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.42      inference(quant_intro,[status(thm)],[108])).
% 0.19/0.42  tff(110,plain,
% 0.19/0.42      (^[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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))))),
% 0.19/0.42      inference(bind,[status(th)],[])).
% 0.19/0.42  tff(111,plain,
% 0.19/0.42      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[110])).
% 0.19/0.43  tff(112,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.43      inference(transitivity,[status(thm)],[111, 109])).
% 0.19/0.43  tff(113,plain,
% 0.19/0.43      (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) <=> ((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))), rewrite((iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))) <=> (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))), rewrite((((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))), ((((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) <=> (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(114,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X))))))) | (~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[113])).
% 0.19/0.43  tff(115,plain,
% 0.19/0.43      (^[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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))) <=> (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(116,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_rdfs_subClassOf, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X)))) & (iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[115])).
% 0.19/0.43  tff(117,plain,
% 0.19/0.43      (![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))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(118,plain,
% 0.19/0.43      (^[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)))))),
% 0.19/0.43      inference(bind,[status(th)],[])).
% 0.19/0.43  tff(119,plain,
% 0.19/0.43      (![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))))),
% 0.19/0.43      inference(quant_intro,[status(thm)],[118])).
% 0.19/0.43  tff(120,axiom,(![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) => icext(C2, X))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_rdfsext_subclassof')).
% 0.19/0.43  tff(121,plain,
% 0.19/0.43      (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[120, 119])).
% 0.19/0.43  tff(122,plain,
% 0.19/0.43      (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[121, 117])).
% 0.19/0.43  tff(123,plain,(
% 0.19/0.43      ![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))))),
% 0.19/0.43      inference(skolemize,[status(sab)],[122])).
% 0.19/0.43  tff(124,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[123, 116])).
% 0.19/0.43  tff(125,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[124, 114])).
% 0.19/0.43  tff(126,plain,
% 0.19/0.43      (![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_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1))))))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[125, 112])).
% 0.19/0.43  tff(127,plain,
% 0.19/0.43      (![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[126, 107])).
% 0.19/0.43  tff(128,plain,
% 0.19/0.43      (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X))))))))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(129,plain,
% 0.19/0.43      ((~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))),
% 0.19/0.43      inference(rewrite,[status(thm)],[])).
% 0.19/0.43  tff(130,plain,
% 0.19/0.43      (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X))))))))))),
% 0.19/0.43      inference(monotonicity,[status(thm)],[129])).
% 0.19/0.43  tff(131,plain,
% 0.19/0.43      (((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X))))))))))),
% 0.19/0.43      inference(transitivity,[status(thm)],[130, 128])).
% 0.19/0.43  tff(132,plain,
% 0.19/0.43      ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))),
% 0.19/0.43      inference(quant_inst,[status(thm)],[])).
% 0.19/0.43  tff(133,plain,
% 0.19/0.43      ((~![C1: $i, C2: $i] : (~((~(iext(uri_rdfs_subClassOf, C1, C2) | (~ic(C1)) | (~ic(C2)) | (~((~icext(C1, tptp_fun_X_6(C2, C1))) | icext(C2, tptp_fun_X_6(C2, C1)))))) | (~((~iext(uri_rdfs_subClassOf, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : ((~icext(C1, X)) | icext(C2, X)))))))))) | (~((~(iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty) | (~ic(uri_owl_InverseFunctionalProperty)) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X)))))))))),
% 0.19/0.43      inference(modus_ponens,[status(thm)],[132, 131])).
% 0.19/0.43  tff(134,plain,
% 0.19/0.43      (~((~(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![X: $i] : ((~icext(uri_ex_InversesOfFunctionalProperties, X)) | icext(uri_owl_InverseFunctionalProperty, X))))))))),
% 0.19/0.43      inference(unit_resolution,[status(thm)],[133, 127])).
% 0.19/0.43  tff(135,plain,
% 0.19/0.43      (((~(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(uri_owl_InverseFunctionalProperty)) | (~![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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(136,plain,
% 0.19/0.44      (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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[135, 134])).
% 0.19/0.44  tff(137,plain,
% 0.19/0.44      (^[X: $i, Y: $i] : refl(((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y))))) <=> ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y))))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(138,plain,
% 0.19/0.44      (![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)))))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[137])).
% 0.19/0.44  tff(139,plain,
% 0.19/0.44      (^[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))))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(140,plain,
% 0.19/0.44      (![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)))))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[139])).
% 0.19/0.44  tff(141,plain,
% 0.19/0.44      (![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)))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(142,plain,
% 0.19/0.44      (^[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))))),
% 0.19/0.44      inference(bind,[status(th)],[])).
% 0.19/0.44  tff(143,plain,
% 0.19/0.44      (![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)))),
% 0.19/0.44      inference(quant_intro,[status(thm)],[142])).
% 0.19/0.44  tff(144,axiom,(![X: $i, Y: $i] : (iext(uri_owl_equivalentClass, X, Y) => (ic(X) & ic(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_prop_equivalentclass_ext')).
% 0.19/0.44  tff(145,plain,
% 0.19/0.44      (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[144, 143])).
% 0.19/0.44  tff(146,plain,
% 0.19/0.44      (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[145, 141])).
% 0.19/0.44  tff(147,plain,(
% 0.19/0.44      ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.19/0.44      inference(skolemize,[status(sab)],[146])).
% 0.19/0.44  tff(148,plain,
% 0.19/0.44      (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[147, 140])).
% 0.19/0.44  tff(149,plain,
% 0.19/0.44      (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[148, 138])).
% 0.19/0.44  tff(150,plain,
% 0.19/0.44      (((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)))))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(151,plain,
% 0.19/0.44      ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))) | ((~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)))))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(152,plain,
% 0.19/0.44      ((~![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))) | (~iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)) | (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11))))),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[151, 150])).
% 0.19/0.44  tff(153,plain,
% 0.19/0.44      (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[152, 149, 98])).
% 0.19/0.44  tff(154,plain,
% 0.19/0.44      (((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11))) | ic(uri_ex_InversesOfFunctionalProperties)),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(155,plain,
% 0.19/0.44      (ic(uri_ex_InversesOfFunctionalProperties)),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[154, 153])).
% 0.19/0.44  tff(156,plain,
% 0.19/0.44      ((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) <=> (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty))),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(157,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')).
% 0.19/0.44  tff(158,plain,
% 0.19/0.44      (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[157, 156])).
% 0.19/0.44  tff(159,plain,
% 0.19/0.44      (ic(uri_owl_InverseFunctionalProperty) <=> ic(uri_owl_InverseFunctionalProperty)),
% 0.19/0.44      inference(rewrite,[status(thm)],[])).
% 0.19/0.44  tff(160,axiom,(ic(uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_inversefunctionalproperty_type')).
% 0.19/0.44  tff(161,plain,
% 0.19/0.44      (ic(uri_owl_InverseFunctionalProperty)),
% 0.19/0.44      inference(modus_ponens,[status(thm)],[160, 159])).
% 0.19/0.44  tff(162,plain,
% 0.19/0.44      ((~(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(163,plain,
% 0.19/0.44      ((~(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) | (~ic(uri_ex_InversesOfFunctionalProperties)) | (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[162, 161, 158])).
% 0.19/0.44  tff(164,plain,
% 0.19/0.44      (~((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[163, 155, 136])).
% 0.19/0.44  tff(165,plain,
% 0.19/0.44      (((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(166,plain,
% 0.19/0.44      (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[165, 164])).
% 0.19/0.44  tff(167,plain,
% 0.19/0.44      ((~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(168,plain,
% 0.19/0.44      ((~(icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) <=> icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[167, 166])).
% 0.19/0.44  tff(169,plain,
% 0.19/0.44      (icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[168, 105])).
% 0.19/0.44  tff(170,plain,
% 0.19/0.44      ((~((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(171,plain,
% 0.19/0.44      ((~((~icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[170, 169])).
% 0.19/0.44  tff(172,plain,
% 0.19/0.44      (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[171, 71])).
% 0.19/0.44  tff(173,plain,
% 0.19/0.44      (((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(174,plain,
% 0.19/0.44      (iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[173, 172])).
% 0.19/0.44  tff(175,plain,
% 0.19/0.44      ((~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(176,plain,
% 0.19/0.44      ((~((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[175, 174])).
% 0.19/0.44  tff(177,plain,
% 0.19/0.44      (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[176, 31])).
% 0.19/0.44  tff(178,plain,
% 0.19/0.44      (((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X)))) | ![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))),
% 0.19/0.44      inference(tautology,[status(thm)],[])).
% 0.19/0.44  tff(179,plain,
% 0.19/0.44      (![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))),
% 0.19/0.44      inference(unit_resolution,[status(thm)],[178, 177])).
% 0.19/0.44  tff(180,plain,
% 0.19/0.44      ((~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))) | (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.44      inference(quant_inst,[status(thm)],[])).
% 0.19/0.44  tff(181,plain,
% 0.19/0.44      (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.45      inference(unit_resolution,[status(thm)],[180, 179])).
% 0.19/0.45  tff(182,plain,
% 0.19/0.45      (^[P: $i] : rewrite((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(183,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[182])).
% 0.19/0.45  tff(184,plain,
% 0.19/0.45      (^[P: $i] : refl((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(185,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[184])).
% 0.19/0.45  tff(186,plain,
% 0.19/0.45      (^[P: $i] : rewrite((~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(187,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[186])).
% 0.19/0.45  tff(188,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(transitivity,[status(thm)],[187, 185])).
% 0.19/0.45  tff(189,plain,
% 0.19/0.45      (^[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, X1, Y)) | (~iext(P, X2, Y)))))))), trans(monotonicity(rewrite((~((~(iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))) <=> (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))), ((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))), rewrite((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))), ((icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P))))) <=> (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))))) <=> (((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))))), rewrite((((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))) & (icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))))) <=> (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(190,plain,
% 0.19/0.45      (![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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))))) <=> ![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[189])).
% 0.19/0.45  tff(191,plain,
% 0.19/0.45      (^[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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(192,plain,
% 0.19/0.45      (![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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P))))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[191])).
% 0.19/0.45  tff(193,plain,
% 0.19/0.45      (![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))))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(194,plain,
% 0.19/0.45      (^[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)))))),
% 0.19/0.45      inference(bind,[status(th)],[])).
% 0.19/0.45  tff(195,plain,
% 0.19/0.45      (![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))))),
% 0.19/0.45      inference(quant_intro,[status(thm)],[194])).
% 0.19/0.45  tff(196,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/theBenchmark.p','owl_char_inversefunctional')).
% 0.19/0.45  tff(197,plain,
% 0.19/0.45      (![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))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[196, 195])).
% 0.19/0.45  tff(198,plain,
% 0.19/0.45      (![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))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[197, 193])).
% 0.19/0.45  tff(199,plain,(
% 0.19/0.45      ![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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P)))))))),
% 0.19/0.45      inference(skolemize,[status(sab)],[198])).
% 0.19/0.45  tff(200,plain,
% 0.19/0.45      (![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_5(P), tptp_fun_Y_3(P)) & iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))) | (tptp_fun_X1_5(P) = tptp_fun_X2_4(P))))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[199, 192])).
% 0.19/0.45  tff(201,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[200, 190])).
% 0.19/0.45  tff(202,plain,
% 0.19/0.45      (![P: $i] : (~((~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y)))))))) | (~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P)))))))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[201, 188])).
% 0.19/0.45  tff(203,plain,
% 0.19/0.45      (![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))),
% 0.19/0.45      inference(modus_ponens,[status(thm)],[202, 183])).
% 0.19/0.45  tff(204,plain,
% 0.19/0.45      (((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)))))))))))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(205,plain,
% 0.19/0.45      ((~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)))))))))) <=> (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))),
% 0.19/0.45      inference(rewrite,[status(thm)],[])).
% 0.19/0.45  tff(206,plain,
% 0.19/0.45      (((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)))))))))))),
% 0.19/0.45      inference(monotonicity,[status(thm)],[205])).
% 0.19/0.45  tff(207,plain,
% 0.19/0.45      (((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))) <=> ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)))))))))))),
% 0.19/0.46      inference(transitivity,[status(thm)],[206, 204])).
% 0.19/0.46  tff(208,plain,
% 0.19/0.46      ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(209,plain,
% 0.19/0.46      ((~![P: $i] : (~((~(icext(uri_owl_InverseFunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_X1_5(P) = tptp_fun_X2_4(P)) | (~iext(P, tptp_fun_X1_5(P), tptp_fun_Y_3(P))) | (~iext(P, tptp_fun_X2_4(P), tptp_fun_Y_3(P))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, P)) | (~((~ip(P)) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(P, X1, Y)) | (~iext(P, X2, Y))))))))))) | (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[208, 207])).
% 0.19/0.46  tff(210,plain,
% 0.19/0.46      (~((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y)))))))))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[209, 203])).
% 0.19/0.46  tff(211,plain,
% 0.19/0.46      (((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~((~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~![X1: $i, X2: $i, Y: $i] : ((X1 = X2) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X1, Y)) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X2, Y))))))))) | (icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(212,plain,
% 0.19/0.46      (icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[211, 210])).
% 0.19/0.46  tff(213,plain,
% 0.19/0.46      (^[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))))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(214,plain,
% 0.19/0.46      (![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)))))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[213])).
% 0.19/0.46  tff(215,plain,
% 0.19/0.46      (^[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))))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(216,plain,
% 0.19/0.46      (![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)))))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[215])).
% 0.19/0.46  tff(217,plain,
% 0.19/0.46      (![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)))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(218,plain,
% 0.19/0.46      (^[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))))),
% 0.19/0.46      inference(bind,[status(th)],[])).
% 0.19/0.46  tff(219,plain,
% 0.19/0.46      (![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)))),
% 0.19/0.46      inference(quant_intro,[status(thm)],[218])).
% 0.19/0.46  tff(220,axiom,(![X: $i, Y: $i] : (iext(uri_owl_inverseOf, X, Y) => (ip(X) & ip(Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_prop_inverseof_ext')).
% 0.19/0.46  tff(221,plain,
% 0.19/0.46      (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[220, 219])).
% 0.19/0.46  tff(222,plain,
% 0.19/0.46      (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[221, 217])).
% 0.19/0.46  tff(223,plain,(
% 0.19/0.46      ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.19/0.46      inference(skolemize,[status(sab)],[222])).
% 0.19/0.46  tff(224,plain,
% 0.19/0.46      (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[223, 216])).
% 0.19/0.46  tff(225,plain,
% 0.19/0.46      (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[224, 214])).
% 0.19/0.46  tff(226,plain,
% 0.19/0.46      (((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(227,plain,
% 0.19/0.46      (((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) <=> ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))),
% 0.19/0.46      inference(rewrite,[status(thm)],[])).
% 0.19/0.46  tff(228,plain,
% 0.19/0.46      (((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))),
% 0.19/0.46      inference(monotonicity,[status(thm)],[227])).
% 0.19/0.46  tff(229,plain,
% 0.19/0.46      (((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(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_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))),
% 0.19/0.46      inference(transitivity,[status(thm)],[228, 226])).
% 0.19/0.46  tff(230,plain,
% 0.19/0.46      ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | ((~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(231,plain,
% 0.19/0.46      ((~![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.19/0.46      inference(modus_ponens,[status(thm)],[230, 229])).
% 0.19/0.46  tff(232,plain,
% 0.19/0.46      (~((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[231, 225, 174])).
% 0.19/0.46  tff(233,plain,
% 0.19/0.46      (((~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(234,plain,
% 0.19/0.46      (ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[233, 232])).
% 0.19/0.46  tff(235,plain,
% 0.19/0.46      (((~icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(236,plain,
% 0.19/0.46      (~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[235, 164])).
% 0.19/0.46  tff(237,plain,
% 0.19/0.46      ((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(238,plain,
% 0.19/0.46      ((~(icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))))) | (~ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[237, 236])).
% 0.19/0.46  tff(239,plain,
% 0.19/0.46      (~((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[238, 234, 212])).
% 0.19/0.46  tff(240,plain,
% 0.19/0.46      (((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(241,plain,
% 0.19/0.46      (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[240, 239])).
% 0.19/0.46  tff(242,plain,
% 0.19/0.46      ((~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(243,plain,
% 0.19/0.46      ((~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[242, 241])).
% 0.19/0.46  tff(244,plain,
% 0.19/0.46      (iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[243, 181])).
% 0.19/0.46  tff(245,plain,
% 0.19/0.46      ((~![X: $i, Y: $i] : (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), X, Y) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), Y, X))) | (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.46      inference(quant_inst,[status(thm)],[])).
% 0.19/0.46  tff(246,plain,
% 0.19/0.46      (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[245, 179])).
% 0.19/0.46  tff(247,plain,
% 0.19/0.46      (((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(tautology,[status(thm)],[])).
% 0.19/0.46  tff(248,plain,
% 0.19/0.46      (iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.46      inference(unit_resolution,[status(thm)],[247, 239])).
% 0.19/0.46  tff(249,plain,
% 0.19/0.46      ((~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.47      inference(tautology,[status(thm)],[])).
% 0.19/0.47  tff(250,plain,
% 0.19/0.47      ((~(iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) <=> iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))) | iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[249, 248])).
% 0.19/0.47  tff(251,plain,
% 0.19/0.47      (iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[250, 246])).
% 0.19/0.47  tff(252,plain,
% 0.19/0.47      (^[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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))))) <=> (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2)))))))))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(253,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))))) <=> ![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[252])).
% 0.19/0.47  tff(254,plain,
% 0.19/0.47      (^[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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(255,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[254])).
% 0.19/0.47  tff(256,plain,
% 0.19/0.47      (^[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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(257,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[256])).
% 0.19/0.47  tff(258,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(transitivity,[status(thm)],[257, 255])).
% 0.19/0.47  tff(259,plain,
% 0.19/0.47      (^[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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)))) <=> (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))), ((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))), rewrite((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))), ((icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((~(iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P))))) <=> (icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(260,plain,
% 0.19/0.47      (![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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[259])).
% 0.19/0.47  tff(261,plain,
% 0.19/0.47      (^[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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)))))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(262,plain,
% 0.19/0.47      (![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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P))))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[261])).
% 0.19/0.47  tff(263,plain,
% 0.19/0.47      (![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))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(264,plain,
% 0.19/0.47      (^[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)))))),
% 0.19/0.47      inference(bind,[status(th)],[])).
% 0.19/0.47  tff(265,plain,
% 0.19/0.47      (![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))))),
% 0.19/0.47      inference(quant_intro,[status(thm)],[264])).
% 0.19/0.47  tff(266,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/theBenchmark.p','owl_char_functional')).
% 0.19/0.47  tff(267,plain,
% 0.19/0.47      (![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))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[266, 265])).
% 0.19/0.47  tff(268,plain,
% 0.19/0.47      (![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))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[267, 263])).
% 0.19/0.47  tff(269,plain,(
% 0.19/0.47      ![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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)))))))),
% 0.19/0.47      inference(skolemize,[status(sab)],[268])).
% 0.19/0.47  tff(270,plain,
% 0.19/0.47      (![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_2(P), tptp_fun_Y1_1(P)) & iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))) | (tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P))))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[269, 262])).
% 0.19/0.47  tff(271,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[270, 260])).
% 0.19/0.47  tff(272,plain,
% 0.19/0.47      (![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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P)))))))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[271, 258])).
% 0.19/0.47  tff(273,plain,
% 0.19/0.47      (![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(P))))))) | (~((~icext(uri_owl_FunctionalProperty, P)) | (~((~ip(P)) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(P, X, Y1)) | (~iext(P, X, Y2))))))))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[272, 253])).
% 0.19/0.47  tff(274,plain,
% 0.19/0.47      (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(275,plain,
% 0.19/0.47      ((~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))) <=> (~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.19/0.47      inference(rewrite,[status(thm)],[])).
% 0.19/0.47  tff(276,plain,
% 0.19/0.47      (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.19/0.47      inference(monotonicity,[status(thm)],[275])).
% 0.19/0.47  tff(277,plain,
% 0.19/0.47      (((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(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_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))))),
% 0.19/0.47      inference(transitivity,[status(thm)],[276, 274])).
% 0.19/0.47  tff(278,plain,
% 0.19/0.47      ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.19/0.47      inference(quant_inst,[status(thm)],[])).
% 0.19/0.47  tff(279,plain,
% 0.19/0.47      ((~![P: $i] : (~((~(icext(uri_owl_FunctionalProperty, P) | (~ip(P)) | (~((tptp_fun_Y1_1(P) = tptp_fun_Y2_0(P)) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y1_1(P))) | (~iext(P, tptp_fun_X_2(P), tptp_fun_Y2_0(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))))),
% 0.19/0.47      inference(modus_ponens,[status(thm)],[278, 277])).
% 0.19/0.47  tff(280,plain,
% 0.19/0.47      (~((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))))),
% 0.19/0.47      inference(unit_resolution,[status(thm)],[279, 273])).
% 0.19/0.47  tff(281,plain,
% 0.19/0.47      (((~(icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) | (~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_X_2(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)), tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | (tptp_fun_Y1_1(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)) = tptp_fun_Y2_0(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))))))) | (~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))))) | ((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(282,plain,
% 0.19/0.48      ((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[281, 280])).
% 0.19/0.48  tff(283,plain,
% 0.19/0.48      (((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(284,plain,
% 0.19/0.48      (icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[283, 172])).
% 0.19/0.48  tff(285,plain,
% 0.19/0.48      ((~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(286,plain,
% 0.19/0.48      ((~((~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))))) | (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2))))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[285, 284])).
% 0.19/0.48  tff(287,plain,
% 0.19/0.48      (~((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[286, 282])).
% 0.19/0.48  tff(288,plain,
% 0.19/0.48      (((~ip(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))) | (~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(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_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(289,plain,
% 0.19/0.48      (![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[288, 287])).
% 0.19/0.48  tff(290,plain,
% 0.19/0.48      (((~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~(tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.48      inference(tautology,[status(thm)],[])).
% 0.19/0.48  tff(291,plain,
% 0.19/0.48      (~(tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[290, 239])).
% 0.19/0.48  tff(292,plain,
% 0.19/0.48      (((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))) <=> ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.48      inference(rewrite,[status(thm)],[])).
% 0.19/0.48  tff(293,plain,
% 0.19/0.48      ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | ((tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))))),
% 0.19/0.48      inference(quant_inst,[status(thm)],[])).
% 0.19/0.48  tff(294,plain,
% 0.19/0.48      ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.19/0.48      inference(modus_ponens,[status(thm)],[293, 292])).
% 0.19/0.48  tff(295,plain,
% 0.19/0.48      ($false),
% 0.19/0.48      inference(unit_resolution,[status(thm)],[294, 291, 289, 251, 244])).
% 0.19/0.48  % SZS output end Proof
% 0.19/0.48  % E exiting
%------------------------------------------------------------------------------