TSTP Solution File: SWB028+2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:31:59 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB028+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 19:48:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 tff(iext_type, type, (
% 0.20/0.43 iext: ( $i * $i * $i ) > $o)).
% 0.20/0.43 tff(tptp_fun_X1_5_type, type, (
% 0.20/0.43 tptp_fun_X1_5: $i > $i)).
% 0.20/0.43 tff(tptp_fun_X_6_type, type, (
% 0.20/0.43 tptp_fun_X_6: ( $i * $i ) > $i)).
% 0.20/0.43 tff(uri_ex_InversesOfFunctionalProperties_type, type, (
% 0.20/0.43 uri_ex_InversesOfFunctionalProperties: $i)).
% 0.20/0.43 tff(uri_owl_InverseFunctionalProperty_type, type, (
% 0.20/0.43 uri_owl_InverseFunctionalProperty: $i)).
% 0.20/0.43 tff(tptp_fun_Y_3_type, type, (
% 0.20/0.43 tptp_fun_Y_3: $i > $i)).
% 0.20/0.43 tff(tptp_fun_Y_8_type, type, (
% 0.20/0.43 tptp_fun_Y_8: ( $i * $i * $i ) > $i)).
% 0.20/0.43 tff(uri_owl_inverseOf_type, type, (
% 0.20/0.43 uri_owl_inverseOf: $i)).
% 0.20/0.43 tff(uri_owl_FunctionalProperty_type, type, (
% 0.20/0.43 uri_owl_FunctionalProperty: $i)).
% 0.20/0.43 tff(ip_type, type, (
% 0.20/0.43 ip: $i > $o)).
% 0.20/0.43 tff(tptp_fun_X_10_type, type, (
% 0.20/0.43 tptp_fun_X_10: ( $i * $i ) > $i)).
% 0.20/0.43 tff(tptp_fun_Y_9_type, type, (
% 0.20/0.43 tptp_fun_Y_9: ( $i * $i ) > $i)).
% 0.20/0.43 tff(icext_type, type, (
% 0.20/0.43 icext: ( $i * $i ) > $o)).
% 0.20/0.43 tff(tptp_fun_BNODE_z_11_type, type, (
% 0.20/0.43 tptp_fun_BNODE_z_11: $i)).
% 0.20/0.43 tff(uri_owl_someValuesFrom_type, type, (
% 0.20/0.43 uri_owl_someValuesFrom: $i)).
% 0.20/0.43 tff(uri_owl_onProperty_type, type, (
% 0.20/0.43 uri_owl_onProperty: $i)).
% 0.20/0.43 tff(uri_owl_Restriction_type, type, (
% 0.20/0.43 uri_owl_Restriction: $i)).
% 0.20/0.43 tff(uri_rdf_type_type, type, (
% 0.20/0.43 uri_rdf_type: $i)).
% 0.20/0.43 tff(uri_owl_equivalentClass_type, type, (
% 0.20/0.43 uri_owl_equivalentClass: $i)).
% 0.20/0.43 tff(ic_type, type, (
% 0.20/0.43 ic: $i > $o)).
% 0.20/0.43 tff(tptp_fun_X_7_type, type, (
% 0.20/0.43 tptp_fun_X_7: ( $i * $i ) > $i)).
% 0.20/0.43 tff(uri_rdfs_subClassOf_type, type, (
% 0.20/0.43 uri_rdfs_subClassOf: $i)).
% 0.20/0.43 tff(tptp_fun_X2_4_type, type, (
% 0.20/0.43 tptp_fun_X2_4: $i > $i)).
% 0.20/0.43 tff(tptp_fun_Y2_0_type, type, (
% 0.20/0.43 tptp_fun_Y2_0: $i > $i)).
% 0.20/0.43 tff(tptp_fun_X_2_type, type, (
% 0.20/0.43 tptp_fun_X_2: $i > $i)).
% 0.20/0.43 tff(tptp_fun_Y1_1_type, type, (
% 0.20/0.43 tptp_fun_Y1_1: $i > $i)).
% 0.20/0.43 tff(1,plain,
% 0.20/0.43 (^[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))))))))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(2,plain,
% 0.20/0.43 (![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)))))))))),
% 0.20/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.43 tff(3,plain,
% 0.20/0.43 (^[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))))))))),
% 0.20/0.43 inference(bind,[status(th)],[])).
% 0.20/0.43 tff(4,plain,
% 0.20/0.43 (![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)))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[3])).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (^[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))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 (![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)))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[5])).
% 0.20/0.44 tff(7,plain,
% 0.20/0.44 (![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)))))))),
% 0.20/0.44 inference(transitivity,[status(thm)],[6, 4])).
% 0.20/0.44 tff(8,plain,
% 0.20/0.44 (^[P1: $i, P2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_inverseOf, P1, P2)) | (ip(P1) & ip(P2) & ![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X)))) <=> ((~iext(uri_owl_inverseOf, P1, P2)) | (~((~ip(P2)) | (~ip(P1)) | (~![X: $i, Y: $i] : (iext(P1, X, Y) <=> iext(P2, Y, X))))))), rewrite((iext(uri_owl_inverseOf, P1, P2) | (~ip(P2)) | (~ip(P1)) | ((~iext(P1, tptp_fun_X_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)))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(9,plain,
% 0.20/0.44 (![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)))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[8])).
% 0.20/0.44 tff(10,plain,
% 0.20/0.44 (^[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))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(11,plain,
% 0.20/0.44 (![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)))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.44 tff(12,plain,
% 0.20/0.44 (![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))))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(13,plain,
% 0.20/0.44 (^[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)))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(14,plain,
% 0.20/0.44 (![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))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[13])).
% 0.20/0.44 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/sandbox2/benchmark/theBenchmark.p','owl_inv')).
% 0.20/0.44 tff(16,plain,
% 0.20/0.44 (![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))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.44 tff(17,plain,
% 0.20/0.44 (![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))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[16, 12])).
% 0.20/0.44 tff(18,plain,(
% 0.20/0.44 ![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)))))))),
% 0.20/0.44 inference(skolemize,[status(sab)],[17])).
% 0.20/0.44 tff(19,plain,
% 0.20/0.44 (![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)))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[18, 11])).
% 0.20/0.44 tff(20,plain,
% 0.20/0.44 (![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)))))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[19, 9])).
% 0.20/0.44 tff(21,plain,
% 0.20/0.44 (![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)))))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[20, 7])).
% 0.20/0.44 tff(22,plain,
% 0.20/0.44 (![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)))))))))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[21, 2])).
% 0.20/0.44 tff(23,plain,
% 0.20/0.44 (((~![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))))))))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(24,plain,
% 0.20/0.45 ((~((~(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)))))))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(25,plain,
% 0.20/0.45 (((~![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))))))))))),
% 0.20/0.45 inference(monotonicity,[status(thm)],[24])).
% 0.20/0.45 tff(26,plain,
% 0.20/0.45 (((~![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))))))))))),
% 0.20/0.45 inference(transitivity,[status(thm)],[25, 23])).
% 0.20/0.45 tff(27,plain,
% 0.20/0.45 ((~![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)))))))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(28,plain,
% 0.20/0.46 ((~![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)))))))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.46 tff(29,plain,
% 0.20/0.46 (~((~((~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))))))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[28, 22])).
% 0.20/0.46 tff(30,plain,
% 0.20/0.46 (((~((~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))))))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(31,plain,
% 0.20/0.46 ((~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_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)))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.20/0.46 tff(32,plain,
% 0.20/0.46 (?[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))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(33,plain,
% 0.20/0.46 (^[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))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(34,plain,
% 0.20/0.46 (?[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))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[33])).
% 0.20/0.46 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/sandbox2/benchmark/theBenchmark.p','testcase_premise_fullish_028_Inferred_Property_Characteristics_III')).
% 0.20/0.46 tff(36,plain,
% 0.20/0.46 (?[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))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.20/0.46 tff(37,plain,
% 0.20/0.46 (?[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))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.20/0.46 tff(38,plain,(
% 0.20/0.46 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)),
% 0.20/0.46 inference(skolemize,[status(sab)],[37])).
% 0.20/0.46 tff(39,plain,
% 0.20/0.46 (iext(uri_owl_someValuesFrom, BNODE_z!11, uri_owl_FunctionalProperty)),
% 0.20/0.46 inference(and_elim,[status(thm)],[38])).
% 0.20/0.46 tff(40,plain,
% 0.20/0.46 (iext(uri_owl_onProperty, BNODE_z!11, uri_owl_inverseOf)),
% 0.20/0.46 inference(and_elim,[status(thm)],[38])).
% 0.20/0.46 tff(41,plain,
% 0.20/0.46 (^[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)))))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(42,plain,
% 0.20/0.46 (![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))))))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[41])).
% 0.20/0.47 tff(43,plain,
% 0.20/0.47 (^[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)))))))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(44,plain,
% 0.20/0.47 (![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))))))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[43])).
% 0.20/0.47 tff(45,plain,
% 0.20/0.47 (![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))))))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[44, 42])).
% 0.20/0.47 tff(46,plain,
% 0.20/0.47 (^[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))))))))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(47,plain,
% 0.20/0.47 (![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))))))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[46])).
% 0.20/0.47 tff(48,plain,
% 0.20/0.47 (![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))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(49,plain,
% 0.20/0.47 (^[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)))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(50,plain,
% 0.20/0.47 (![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))))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[49])).
% 0.20/0.47 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/sandbox2/benchmark/theBenchmark.p','owl_restrict_somevaluesfrom')).
% 0.20/0.47 tff(52,plain,
% 0.20/0.47 (![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))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.20/0.47 tff(53,plain,
% 0.20/0.47 (![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))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.20/0.47 tff(54,plain,(
% 0.20/0.47 ![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))))))),
% 0.20/0.47 inference(skolemize,[status(sab)],[53])).
% 0.20/0.47 tff(55,plain,
% 0.20/0.47 (![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))))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.20/0.47 tff(56,plain,
% 0.20/0.47 (![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))))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[55, 45])).
% 0.20/0.47 tff(57,plain,
% 0.20/0.47 (((~![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_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))))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(58,plain,
% 0.20/0.47 ((~![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))))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(59,plain,
% 0.20/0.47 ((~![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)))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.20/0.47 tff(60,plain,
% 0.20/0.47 (![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)))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[59, 56, 40, 39])).
% 0.20/0.47 tff(61,plain,
% 0.20/0.47 ((~![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)))))))) | (~((~((~icext(BNODE_z!11, 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))) | (~icext(uri_owl_FunctionalProperty, 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)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y)))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(62,plain,
% 0.20/0.47 (~((~((~icext(BNODE_z!11, 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))) | (~icext(uri_owl_FunctionalProperty, 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)) | ![Y: $i] : ((~icext(uri_owl_FunctionalProperty, Y)) | (~iext(uri_owl_inverseOf, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), Y))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.20/0.47 tff(63,plain,
% 0.20/0.47 (((~((~icext(BNODE_z!11, 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))) | (~icext(uri_owl_FunctionalProperty, 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)) | ![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))) | (~((~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))))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(64,plain,
% 0.20/0.47 ((~icext(BNODE_z!11, 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))) | (~icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[63, 62])).
% 0.20/0.47 tff(65,plain,
% 0.20/0.47 (^[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))))))))))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(66,plain,
% 0.20/0.47 (![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)))))))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[65])).
% 0.20/0.48 tff(67,plain,
% 0.20/0.48 (^[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))))))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(68,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[67])).
% 0.20/0.48 tff(69,plain,
% 0.20/0.48 (^[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))))))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(70,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[69])).
% 0.20/0.48 tff(71,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(transitivity,[status(thm)],[70, 68])).
% 0.20/0.48 tff(72,plain,
% 0.20/0.48 (^[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))))))), 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) & ![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)))))))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(73,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[72])).
% 0.20/0.48 tff(74,plain,
% 0.20/0.48 (^[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))))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(75,plain,
% 0.20/0.48 (![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)))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[74])).
% 0.20/0.48 tff(76,plain,
% 0.20/0.48 (![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))))),
% 0.20/0.48 inference(rewrite,[status(thm)],[])).
% 0.20/0.48 tff(77,plain,
% 0.20/0.48 (^[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)))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(78,plain,
% 0.20/0.48 (![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))))),
% 0.20/0.48 inference(quant_intro,[status(thm)],[77])).
% 0.20/0.48 tff(79,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/sandbox2/benchmark/theBenchmark.p','owl_eqdis_equivalentclass')).
% 0.20/0.48 tff(80,plain,
% 0.20/0.48 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.48 tff(81,plain,
% 0.20/0.48 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[80, 76])).
% 0.20/0.48 tff(82,plain,(
% 0.20/0.48 ![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)))))))),
% 0.20/0.48 inference(skolemize,[status(sab)],[81])).
% 0.20/0.48 tff(83,plain,
% 0.20/0.48 (![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)))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[82, 75])).
% 0.20/0.48 tff(84,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[83, 73])).
% 0.20/0.48 tff(85,plain,
% 0.20/0.48 (![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)))))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[84, 71])).
% 0.20/0.48 tff(86,plain,
% 0.20/0.48 (![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)))))))))),
% 0.20/0.48 inference(modus_ponens,[status(thm)],[85, 66])).
% 0.20/0.48 tff(87,plain,
% 0.20/0.48 ((~![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)))))))))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(88,plain,
% 0.20/0.48 (~((~(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))))))))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.20/0.48 tff(89,plain,
% 0.20/0.48 (((~(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))))))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(90,plain,
% 0.20/0.48 ((~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)))))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[89, 88])).
% 0.20/0.48 tff(91,plain,
% 0.20/0.48 (iext(uri_owl_equivalentClass, uri_ex_InversesOfFunctionalProperties, BNODE_z!11)),
% 0.20/0.48 inference(and_elim,[status(thm)],[38])).
% 0.20/0.48 tff(92,plain,
% 0.20/0.48 ((~((~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)))))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(93,plain,
% 0.20/0.48 ((~((~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)))))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[92, 91])).
% 0.20/0.48 tff(94,plain,
% 0.20/0.48 (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)) | (~![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[93, 90])).
% 0.20/0.48 tff(95,plain,
% 0.20/0.48 (((~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))),
% 0.20/0.48 inference(tautology,[status(thm)],[])).
% 0.20/0.48 tff(96,plain,
% 0.20/0.48 (![X: $i] : (icext(uri_ex_InversesOfFunctionalProperties, X) <=> icext(BNODE_z!11, X))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[95, 94])).
% 0.20/0.48 tff(97,plain,
% 0.20/0.48 ((~![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)))),
% 0.20/0.48 inference(quant_inst,[status(thm)],[])).
% 0.20/0.48 tff(98,plain,
% 0.20/0.48 (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))),
% 0.20/0.48 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.20/0.48 tff(99,plain,
% 0.20/0.48 (^[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))))))))))),
% 0.20/0.48 inference(bind,[status(th)],[])).
% 0.20/0.48 tff(100,plain,
% 0.20/0.48 (![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)))))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[99])).
% 0.20/0.49 tff(101,plain,
% 0.20/0.49 (^[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)))))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(102,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[101])).
% 0.20/0.49 tff(103,plain,
% 0.20/0.49 (^[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)))))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(104,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[103])).
% 0.20/0.49 tff(105,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(transitivity,[status(thm)],[104, 102])).
% 0.20/0.49 tff(106,plain,
% 0.20/0.49 (^[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))))))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(107,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[106])).
% 0.20/0.49 tff(108,plain,
% 0.20/0.49 (^[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)))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(109,plain,
% 0.20/0.49 (![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))))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[108])).
% 0.20/0.49 tff(110,plain,
% 0.20/0.49 (![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))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(111,plain,
% 0.20/0.49 (^[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)))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(112,plain,
% 0.20/0.49 (![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))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[111])).
% 0.20/0.49 tff(113,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/sandbox2/benchmark/theBenchmark.p','owl_rdfsext_subclassof')).
% 0.20/0.49 tff(114,plain,
% 0.20/0.49 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.20/0.49 tff(115,plain,
% 0.20/0.49 (![C1: $i, C2: $i] : (iext(uri_rdfs_subClassOf, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : ((~icext(C1, X)) | icext(C2, X))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.20/0.49 tff(116,plain,(
% 0.20/0.49 ![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)))))))),
% 0.20/0.49 inference(skolemize,[status(sab)],[115])).
% 0.20/0.49 tff(117,plain,
% 0.20/0.49 (![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))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.20/0.49 tff(118,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[117, 107])).
% 0.20/0.49 tff(119,plain,
% 0.20/0.49 (![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))))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[118, 105])).
% 0.20/0.49 tff(120,plain,
% 0.20/0.49 (![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)))))))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[119, 100])).
% 0.20/0.49 tff(121,plain,
% 0.20/0.49 ((~![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)))))))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(122,plain,
% 0.20/0.49 (~((~(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))))))))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[121, 120])).
% 0.20/0.49 tff(123,plain,
% 0.20/0.49 (((~(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_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)))))),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(124,plain,
% 0.20/0.49 (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))))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[123, 122])).
% 0.20/0.49 tff(125,plain,
% 0.20/0.49 (^[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))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(126,plain,
% 0.20/0.49 (![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)))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[125])).
% 0.20/0.49 tff(127,plain,
% 0.20/0.49 (^[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))))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(128,plain,
% 0.20/0.49 (![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)))))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[127])).
% 0.20/0.49 tff(129,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(130,plain,
% 0.20/0.49 (^[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))))),
% 0.20/0.49 inference(bind,[status(th)],[])).
% 0.20/0.49 tff(131,plain,
% 0.20/0.49 (![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)))),
% 0.20/0.49 inference(quant_intro,[status(thm)],[130])).
% 0.20/0.49 tff(132,axiom,(![X: $i, Y: $i] : (iext(uri_owl_equivalentClass, X, Y) => (ic(X) & ic(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','owl_prop_equivalentclass_ext')).
% 0.20/0.49 tff(133,plain,
% 0.20/0.49 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.20/0.49 tff(134,plain,
% 0.20/0.49 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[133, 129])).
% 0.20/0.49 tff(135,plain,(
% 0.20/0.49 ![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (ic(X) & ic(Y)))),
% 0.20/0.49 inference(skolemize,[status(sab)],[134])).
% 0.20/0.49 tff(136,plain,
% 0.20/0.49 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.20/0.49 tff(137,plain,
% 0.20/0.49 (![X: $i, Y: $i] : ((~iext(uri_owl_equivalentClass, X, Y)) | (~((~ic(X)) | (~ic(Y)))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[136, 126])).
% 0.20/0.49 tff(138,plain,
% 0.20/0.49 (((~![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)))))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(139,plain,
% 0.20/0.49 ((~![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)))))),
% 0.20/0.49 inference(quant_inst,[status(thm)],[])).
% 0.20/0.49 tff(140,plain,
% 0.20/0.49 ((~![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))))),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.20/0.49 tff(141,plain,
% 0.20/0.49 (~((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11)))),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[140, 137, 91])).
% 0.20/0.49 tff(142,plain,
% 0.20/0.49 (((~ic(uri_ex_InversesOfFunctionalProperties)) | (~ic(BNODE_z!11))) | ic(uri_ex_InversesOfFunctionalProperties)),
% 0.20/0.49 inference(tautology,[status(thm)],[])).
% 0.20/0.49 tff(143,plain,
% 0.20/0.49 (ic(uri_ex_InversesOfFunctionalProperties)),
% 0.20/0.49 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.20/0.49 tff(144,plain,
% 0.20/0.49 ((~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)) <=> (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty))),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(145,axiom,(~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III')).
% 0.20/0.49 tff(146,plain,
% 0.20/0.49 (~iext(uri_rdfs_subClassOf, uri_ex_InversesOfFunctionalProperties, uri_owl_InverseFunctionalProperty)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.49 tff(147,plain,
% 0.20/0.49 (ic(uri_owl_InverseFunctionalProperty) <=> ic(uri_owl_InverseFunctionalProperty)),
% 0.20/0.49 inference(rewrite,[status(thm)],[])).
% 0.20/0.49 tff(148,axiom,(ic(uri_owl_InverseFunctionalProperty)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','owl_class_inversefunctionalproperty_type')).
% 0.20/0.49 tff(149,plain,
% 0.20/0.49 (ic(uri_owl_InverseFunctionalProperty)),
% 0.20/0.49 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.20/0.49 tff(150,plain,
% 0.20/0.49 ((~(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)) | (~((~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))))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(151,plain,
% 0.20/0.50 ((~(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)))))) | (~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))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[150, 149, 146])).
% 0.20/0.50 tff(152,plain,
% 0.20/0.50 (~((~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)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[151, 143, 124])).
% 0.20/0.50 tff(153,plain,
% 0.20/0.50 (((~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))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(154,plain,
% 0.20/0.50 (icext(uri_ex_InversesOfFunctionalProperties, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[153, 152])).
% 0.20/0.50 tff(155,plain,
% 0.20/0.50 ((~(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))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(156,plain,
% 0.20/0.50 ((~(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))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.20/0.50 tff(157,plain,
% 0.20/0.50 (icext(BNODE_z!11, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[156, 98])).
% 0.20/0.50 tff(158,plain,
% 0.20/0.50 ((~((~icext(BNODE_z!11, 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))) | (~icext(uri_owl_FunctionalProperty, 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))) | (~((~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)))))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(159,plain,
% 0.20/0.50 ((~((~icext(BNODE_z!11, 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))) | (~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)))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.20/0.50 tff(160,plain,
% 0.20/0.50 (~((~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))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[159, 64])).
% 0.20/0.50 tff(161,plain,
% 0.20/0.50 (((~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))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(162,plain,
% 0.20/0.50 (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))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[161, 160])).
% 0.20/0.50 tff(163,plain,
% 0.20/0.50 ((~((~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)))))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(164,plain,
% 0.20/0.50 ((~((~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)))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[163, 162])).
% 0.20/0.50 tff(165,plain,
% 0.20/0.50 (~((~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))))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[164, 31])).
% 0.20/0.50 tff(166,plain,
% 0.20/0.50 (((~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))),
% 0.20/0.50 inference(tautology,[status(thm)],[])).
% 0.20/0.50 tff(167,plain,
% 0.20/0.50 (![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))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[166, 165])).
% 0.20/0.50 tff(168,plain,
% 0.20/0.50 ((~![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))))),
% 0.20/0.50 inference(quant_inst,[status(thm)],[])).
% 0.20/0.50 tff(169,plain,
% 0.20/0.50 (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)))),
% 0.20/0.50 inference(unit_resolution,[status(thm)],[168, 167])).
% 0.20/0.50 tff(170,plain,
% 0.20/0.50 (^[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)))))))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(171,plain,
% 0.20/0.50 (![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))))))))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[170])).
% 0.20/0.50 tff(172,plain,
% 0.20/0.50 (^[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))))))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(173,plain,
% 0.20/0.50 (![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)))))))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[172])).
% 0.20/0.50 tff(174,plain,
% 0.20/0.50 (^[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))))))))))),
% 0.20/0.50 inference(bind,[status(th)],[])).
% 0.20/0.50 tff(175,plain,
% 0.20/0.50 (![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)))))))))),
% 0.20/0.50 inference(quant_intro,[status(thm)],[174])).
% 0.20/0.50 tff(176,plain,
% 0.20/0.50 (![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)))))))))),
% 0.20/0.50 inference(transitivity,[status(thm)],[175, 173])).
% 0.20/0.50 tff(177,plain,
% 0.20/0.50 (^[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)))))))))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(178,plain,
% 0.20/0.51 (![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)))))))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[177])).
% 0.20/0.51 tff(179,plain,
% 0.20/0.51 (^[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)))))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(180,plain,
% 0.20/0.51 (![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))))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[179])).
% 0.20/0.51 tff(181,plain,
% 0.20/0.51 (![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))))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.51 tff(182,plain,
% 0.20/0.51 (^[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)))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(183,plain,
% 0.20/0.51 (![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))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[182])).
% 0.20/0.51 tff(184,axiom,(![P: $i] : (icext(uri_owl_InverseFunctionalProperty, P) <=> (ip(P) & ![X1: $i, X2: $i, Y: $i] : ((iext(P, X1, Y) & iext(P, X2, Y)) => (X1 = X2))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','owl_char_inversefunctional')).
% 0.20/0.51 tff(185,plain,
% 0.20/0.51 (![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))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.20/0.51 tff(186,plain,
% 0.20/0.51 (![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))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[185, 181])).
% 0.20/0.51 tff(187,plain,(
% 0.20/0.51 ![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)))))))),
% 0.20/0.51 inference(skolemize,[status(sab)],[186])).
% 0.20/0.51 tff(188,plain,
% 0.20/0.51 (![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))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[187, 180])).
% 0.20/0.51 tff(189,plain,
% 0.20/0.51 (![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)))))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[188, 178])).
% 0.20/0.51 tff(190,plain,
% 0.20/0.51 (![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)))))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[189, 176])).
% 0.20/0.51 tff(191,plain,
% 0.20/0.51 (![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))))))))))),
% 0.20/0.51 inference(modus_ponens,[status(thm)],[190, 171])).
% 0.20/0.51 tff(192,plain,
% 0.20/0.51 ((~![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))))))))))),
% 0.20/0.51 inference(quant_inst,[status(thm)],[])).
% 0.20/0.51 tff(193,plain,
% 0.20/0.51 (~((~(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)))))))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[192, 191])).
% 0.20/0.51 tff(194,plain,
% 0.20/0.51 (((~(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))) | (~((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)))))))),
% 0.20/0.51 inference(tautology,[status(thm)],[])).
% 0.20/0.51 tff(195,plain,
% 0.20/0.51 (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))))))),
% 0.20/0.51 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.20/0.51 tff(196,plain,
% 0.20/0.51 (^[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))))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(197,plain,
% 0.20/0.51 (![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)))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[196])).
% 0.20/0.51 tff(198,plain,
% 0.20/0.51 (^[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))))))),
% 0.20/0.51 inference(bind,[status(th)],[])).
% 0.20/0.51 tff(199,plain,
% 0.20/0.51 (![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)))))),
% 0.20/0.51 inference(quant_intro,[status(thm)],[198])).
% 0.20/0.51 tff(200,plain,
% 0.20/0.51 (![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)))),
% 0.20/0.51 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(201,plain,
% 0.20/0.52 (^[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))))),
% 0.20/0.52 inference(bind,[status(th)],[])).
% 0.20/0.52 tff(202,plain,
% 0.20/0.52 (![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)))),
% 0.20/0.52 inference(quant_intro,[status(thm)],[201])).
% 0.20/0.52 tff(203,axiom,(![X: $i, Y: $i] : (iext(uri_owl_inverseOf, X, Y) => (ip(X) & ip(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','owl_prop_inverseof_ext')).
% 0.20/0.52 tff(204,plain,
% 0.20/0.52 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[203, 202])).
% 0.20/0.52 tff(205,plain,
% 0.20/0.52 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[204, 200])).
% 0.20/0.52 tff(206,plain,(
% 0.20/0.52 ![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (ip(X) & ip(Y)))),
% 0.20/0.52 inference(skolemize,[status(sab)],[205])).
% 0.20/0.52 tff(207,plain,
% 0.20/0.52 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[206, 199])).
% 0.20/0.52 tff(208,plain,
% 0.20/0.52 (![X: $i, Y: $i] : ((~iext(uri_owl_inverseOf, X, Y)) | (~((~ip(Y)) | (~ip(X)))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[207, 197])).
% 0.20/0.52 tff(209,plain,
% 0.20/0.52 (((~![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))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(210,plain,
% 0.20/0.52 (((~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))))))),
% 0.20/0.52 inference(rewrite,[status(thm)],[])).
% 0.20/0.52 tff(211,plain,
% 0.20/0.52 (((~![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)))))))),
% 0.20/0.52 inference(monotonicity,[status(thm)],[210])).
% 0.20/0.52 tff(212,plain,
% 0.20/0.52 (((~![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))))))),
% 0.20/0.52 inference(transitivity,[status(thm)],[211, 209])).
% 0.20/0.52 tff(213,plain,
% 0.20/0.52 ((~![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))))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(214,plain,
% 0.20/0.52 ((~![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)))))),
% 0.20/0.52 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.20/0.52 tff(215,plain,
% 0.20/0.52 (~((~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))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[214, 208, 162])).
% 0.20/0.52 tff(216,plain,
% 0.20/0.52 (((~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))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(217,plain,
% 0.20/0.52 (ip(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[216, 215])).
% 0.20/0.52 tff(218,plain,
% 0.20/0.52 (((~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)))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(219,plain,
% 0.20/0.52 (~icext(uri_owl_InverseFunctionalProperty, tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[218, 152])).
% 0.20/0.52 tff(220,plain,
% 0.20/0.52 ((~(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))) | (~((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))))))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(221,plain,
% 0.20/0.52 ((~(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)))))))) | (~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))))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[220, 219])).
% 0.20/0.52 tff(222,plain,
% 0.20/0.52 (~((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)))))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[221, 217, 195])).
% 0.20/0.52 tff(223,plain,
% 0.20/0.52 (((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))))) | 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)))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(224,plain,
% 0.20/0.52 (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)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[223, 222])).
% 0.20/0.52 tff(225,plain,
% 0.20/0.52 ((~(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)))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(226,plain,
% 0.20/0.52 ((~(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)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[225, 224])).
% 0.20/0.52 tff(227,plain,
% 0.20/0.52 (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)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[226, 169])).
% 0.20/0.52 tff(228,plain,
% 0.20/0.52 ((~![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))))),
% 0.20/0.52 inference(quant_inst,[status(thm)],[])).
% 0.20/0.52 tff(229,plain,
% 0.20/0.52 (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)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[228, 167])).
% 0.20/0.52 tff(230,plain,
% 0.20/0.52 (((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))))) | 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)))),
% 0.20/0.52 inference(tautology,[status(thm)],[])).
% 0.20/0.52 tff(231,plain,
% 0.20/0.52 (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)))),
% 0.20/0.52 inference(unit_resolution,[status(thm)],[230, 222])).
% 0.20/0.52 tff(232,plain,
% 0.20/0.52 ((~(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)))),
% 0.39/0.53 inference(tautology,[status(thm)],[])).
% 0.39/0.53 tff(233,plain,
% 0.39/0.53 ((~(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)))),
% 0.39/0.53 inference(unit_resolution,[status(thm)],[232, 231])).
% 0.39/0.53 tff(234,plain,
% 0.39/0.53 (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)))),
% 0.39/0.53 inference(unit_resolution,[status(thm)],[233, 229])).
% 0.39/0.53 tff(235,plain,
% 0.39/0.53 (^[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)))))))))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(236,plain,
% 0.39/0.53 (![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))))))))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[235])).
% 0.39/0.53 tff(237,plain,
% 0.39/0.53 (^[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))))))))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(238,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[237])).
% 0.39/0.53 tff(239,plain,
% 0.39/0.53 (^[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))))))))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(240,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[239])).
% 0.39/0.53 tff(241,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(transitivity,[status(thm)],[240, 238])).
% 0.39/0.53 tff(242,plain,
% 0.39/0.53 (^[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)))))))))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(243,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[242])).
% 0.39/0.53 tff(244,plain,
% 0.39/0.53 (^[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)))))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(245,plain,
% 0.39/0.53 (![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))))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[244])).
% 0.39/0.53 tff(246,plain,
% 0.39/0.53 (![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))))),
% 0.39/0.53 inference(rewrite,[status(thm)],[])).
% 0.39/0.53 tff(247,plain,
% 0.39/0.53 (^[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)))))),
% 0.39/0.53 inference(bind,[status(th)],[])).
% 0.39/0.53 tff(248,plain,
% 0.39/0.53 (![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))))),
% 0.39/0.53 inference(quant_intro,[status(thm)],[247])).
% 0.39/0.53 tff(249,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/sandbox2/benchmark/theBenchmark.p','owl_char_functional')).
% 0.39/0.53 tff(250,plain,
% 0.39/0.53 (![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))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.39/0.53 tff(251,plain,
% 0.39/0.53 (![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))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[250, 246])).
% 0.39/0.53 tff(252,plain,(
% 0.39/0.53 ![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)))))))),
% 0.39/0.53 inference(skolemize,[status(sab)],[251])).
% 0.39/0.53 tff(253,plain,
% 0.39/0.53 (![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))))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[252, 245])).
% 0.39/0.53 tff(254,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[253, 243])).
% 0.39/0.53 tff(255,plain,
% 0.39/0.53 (![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)))))))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[254, 241])).
% 0.39/0.53 tff(256,plain,
% 0.39/0.53 (![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))))))))))),
% 0.39/0.53 inference(modus_ponens,[status(thm)],[255, 236])).
% 0.39/0.53 tff(257,plain,
% 0.39/0.53 ((~![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))))))))))),
% 0.39/0.54 inference(quant_inst,[status(thm)],[])).
% 0.39/0.54 tff(258,plain,
% 0.39/0.54 (~((~(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)))))))))),
% 0.39/0.54 inference(unit_resolution,[status(thm)],[257, 256])).
% 0.39/0.54 tff(259,plain,
% 0.39/0.54 (((~(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))) | (~![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)))))))),
% 0.39/0.54 inference(tautology,[status(thm)],[])).
% 0.39/0.54 tff(260,plain,
% 0.39/0.54 ((~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))))))),
% 0.39/0.54 inference(unit_resolution,[status(thm)],[259, 258])).
% 0.39/0.54 tff(261,plain,
% 0.39/0.54 (((~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)))) | icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.39/0.54 inference(tautology,[status(thm)],[])).
% 0.39/0.54 tff(262,plain,
% 0.39/0.54 (icext(uri_owl_FunctionalProperty, tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf))),
% 0.39/0.54 inference(unit_resolution,[status(thm)],[261, 160])).
% 0.39/0.54 tff(263,plain,
% 0.39/0.54 ((~((~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))))))),
% 0.41/0.54 inference(tautology,[status(thm)],[])).
% 0.41/0.54 tff(264,plain,
% 0.41/0.54 ((~((~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))))))),
% 0.41/0.54 inference(unit_resolution,[status(thm)],[263, 262])).
% 0.41/0.54 tff(265,plain,
% 0.41/0.54 (~((~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)))))),
% 0.41/0.54 inference(unit_resolution,[status(thm)],[264, 260])).
% 0.41/0.54 tff(266,plain,
% 0.41/0.54 (((~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)))),
% 0.41/0.54 inference(tautology,[status(thm)],[])).
% 0.41/0.54 tff(267,plain,
% 0.41/0.54 (![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)))),
% 0.41/0.54 inference(unit_resolution,[status(thm)],[266, 265])).
% 0.41/0.54 tff(268,plain,
% 0.41/0.54 (((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))))) | (~(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))))),
% 0.41/0.54 inference(tautology,[status(thm)],[])).
% 0.41/0.54 tff(269,plain,
% 0.41/0.54 (~(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)))),
% 0.41/0.54 inference(unit_resolution,[status(thm)],[268, 222])).
% 0.41/0.54 tff(270,plain,
% 0.41/0.54 (((~![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_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)))))) <=> ((~![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_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)))))),
% 0.41/0.54 inference(rewrite,[status(thm)],[])).
% 0.41/0.54 tff(271,plain,
% 0.41/0.54 (((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))))) <=> ((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_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)))))),
% 0.41/0.54 inference(rewrite,[status(thm)],[])).
% 0.41/0.54 tff(272,plain,
% 0.41/0.54 (((~![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_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))))))),
% 0.41/0.55 inference(monotonicity,[status(thm)],[271])).
% 0.41/0.55 tff(273,plain,
% 0.41/0.55 (((~![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_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)))))),
% 0.41/0.55 inference(transitivity,[status(thm)],[272, 270])).
% 0.41/0.55 tff(274,plain,
% 0.41/0.55 ((~![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)))))),
% 0.41/0.55 inference(quant_inst,[status(thm)],[])).
% 0.41/0.55 tff(275,plain,
% 0.41/0.55 ((~![X: $i, Y1: $i, Y2: $i] : ((Y1 = Y2) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y1)) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), X, Y2)))) | (tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)) = tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X2_4(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)))) | (~iext(tptp_fun_Y_8(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties), uri_owl_FunctionalProperty, uri_owl_inverseOf), tptp_fun_Y_3(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties)), tptp_fun_X1_5(tptp_fun_X_6(uri_owl_InverseFunctionalProperty, uri_ex_InversesOfFunctionalProperties))))),
% 0.41/0.55 inference(modus_ponens,[status(thm)],[274, 273])).
% 0.41/0.55 tff(276,plain,
% 0.41/0.55 ($false),
% 0.41/0.55 inference(unit_resolution,[status(thm)],[275, 269, 267, 234, 227])).
% 0.41/0.55 % SZS output end Proof
%------------------------------------------------------------------------------