%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB107+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:29:52 AM UTC 2025
% Result : Theorem 0.93s 1.12s
% Output : Proof 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SWB107+1 : TPTP v9.0.0. Released v5.2.0.
% 0.01/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 07:58:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.93/1.12 % SZS status Theorem
% 0.93/1.12 % SZS output start Proof
% 0.93/1.12 tff(iext_type, type, (
% 0.93/1.12 iext: ( $i * $i * $i ) > $o)).
% 0.93/1.12 tff(tptp_fun_Y_42_type, type, (
% 0.93/1.12 tptp_fun_Y_42: ( $i * $i * $i ) > $i)).
% 0.93/1.12 tff(uri_ex_p_type, type, (
% 0.93/1.12 uri_ex_p: $i)).
% 0.93/1.12 tff(tptp_fun_X0_140_type, type, (
% 0.93/1.12 tptp_fun_X0_140: $i)).
% 0.93/1.12 tff(tptp_fun_X_67_type, type, (
% 0.93/1.12 tptp_fun_X_67: ( $i * $i ) > $i)).
% 0.93/1.12 tff(uri_ex_z1_type, type, (
% 0.93/1.12 uri_ex_z1: $i)).
% 0.93/1.12 tff(uri_ex_z2_type, type, (
% 0.93/1.12 uri_ex_z2: $i)).
% 0.93/1.12 tff(uri_ex_u_type, type, (
% 0.93/1.12 uri_ex_u: $i)).
% 0.93/1.12 tff(icext_type, type, (
% 0.93/1.12 icext: ( $i * $i ) > $o)).
% 0.93/1.12 tff(ic_type, type, (
% 0.93/1.12 ic: $i > $o)).
% 0.93/1.12 tff(tptp_fun_X1_141_type, type, (
% 0.93/1.12 tptp_fun_X1_141: $i)).
% 0.93/1.12 tff(uri_owl_oneOf_type, type, (
% 0.93/1.12 uri_owl_oneOf: $i)).
% 0.93/1.12 tff(tptp_fun_X_8_type, type, (
% 0.93/1.12 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.93/1.12 tff(uri_rdf_nil_type, type, (
% 0.93/1.12 uri_rdf_nil: $i)).
% 0.93/1.12 tff(uri_rdf_rest_type, type, (
% 0.93/1.12 uri_rdf_rest: $i)).
% 0.93/1.12 tff(uri_rdf_first_type, type, (
% 0.93/1.12 uri_rdf_first: $i)).
% 0.93/1.12 tff(uri_owl_onProperty_type, type, (
% 0.93/1.12 uri_owl_onProperty: $i)).
% 0.93/1.12 tff(uri_owl_someValuesFrom_type, type, (
% 0.93/1.12 uri_owl_someValuesFrom: $i)).
% 0.93/1.12 tff(uri_owl_hasValue_type, type, (
% 0.93/1.12 uri_owl_hasValue: $i)).
% 0.93/1.12 tff(uri_owl_equivalentClass_type, type, (
% 0.93/1.12 uri_owl_equivalentClass: $i)).
% 0.93/1.12 tff(uri_owl_Restriction_type, type, (
% 0.93/1.12 uri_owl_Restriction: $i)).
% 0.93/1.12 tff(ir_type, type, (
% 0.93/1.12 ir: $i > $o)).
% 0.93/1.12 tff(1,plain,
% 0.93/1.12 (?[X1: $i, X0: $i] : (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> ?[X1: $i, X0: $i] : (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))),
% 0.93/1.12 inference(rewrite,[status(thm)],[])).
% 0.93/1.12 tff(2,plain,
% 0.93/1.12 (^[X1: $i, X0: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1))), ((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) <=> ((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)))), rewrite(((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0))), ((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)))), (((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) <=> ((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)))), rewrite(((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p))), (((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)))), ((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) <=> ((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)))), rewrite(((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u))), ((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u)))), (((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> ((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil)))), rewrite(((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))), (((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(3,plain,
% 0.93/1.12 (?[X1: $i, X0: $i] : ((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil)) <=> ?[X1: $i, X0: $i] : (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[2])).
% 0.93/1.12 tff(4,axiom,(?[X1: $i, X0: $i] : ((((((iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) & iext(uri_owl_oneOf, X0, X1)) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0)) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) & iext(uri_rdf_first, X1, uri_ex_u)) & iext(uri_rdf_rest, X1, uri_rdf_nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','premise_rdfbased_sem_restrict_term_somehas')).
% 0.93/1.12 tff(5,plain,
% 0.93/1.12 (?[X1: $i, X0: $i] : (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))),
% 0.93/1.12 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.93/1.12 tff(6,plain,
% 0.93/1.12 (?[X1: $i, X0: $i] : (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0, X1) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1, uri_ex_u) & iext(uri_rdf_rest, X1, uri_rdf_nil))),
% 0.93/1.12 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.93/1.12 tff(7,plain,(
% 0.93/1.12 iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u) & iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p) & iext(uri_owl_oneOf, X0!140, X1!141) & iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140) & iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p) & iext(uri_rdf_first, X1!141, uri_ex_u) & iext(uri_rdf_rest, X1!141, uri_rdf_nil)),
% 0.93/1.12 inference(skolemize,[status(sab)],[6])).
% 0.93/1.12 tff(8,plain,
% 0.93/1.12 (iext(uri_rdf_rest, X1!141, uri_rdf_nil)),
% 0.93/1.12 inference(and_elim,[status(thm)],[7])).
% 0.93/1.12 tff(9,plain,
% 0.93/1.12 (iext(uri_rdf_first, X1!141, uri_ex_u)),
% 0.93/1.12 inference(and_elim,[status(thm)],[7])).
% 0.93/1.12 tff(10,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(11,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[10])).
% 0.93/1.12 tff(12,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : refl(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(13,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[12])).
% 0.93/1.12 tff(14,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(15,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[14])).
% 0.93/1.12 tff(16,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.12 inference(transitivity,[status(thm)],[15, 13])).
% 0.93/1.12 tff(17,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) <=> (~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> (~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))))), rewrite((~(~((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)))), ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), trans(monotonicity(rewrite(((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> ((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))), trans(monotonicity(rewrite((~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))) <=> (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), rewrite((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))), ((iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))), rewrite((((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))), ((((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) <=> (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> (((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))))), rewrite((((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(18,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[17])).
% 0.93/1.12 tff(19,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(20,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[19])).
% 0.93/1.12 tff(21,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.93/1.12 inference(rewrite,[status(thm)],[])).
% 0.93/1.12 tff(22,plain,
% 0.93/1.12 (^[Z: $i, S1: $i, A1: $i] : trans(monotonicity(monotonicity(rewrite((ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))), ((iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) <=> (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), (((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))))),
% 0.93/1.12 inference(bind,[status(th)],[])).
% 0.93/1.12 tff(23,plain,
% 0.93/1.12 (![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.93/1.12 inference(quant_intro,[status(thm)],[22])).
% 0.93/1.12 tff(24,axiom,(![Z: $i, S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_enum_class_001')).
% 0.93/1.13 tff(25,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.93/1.13 tff(26,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (iext(uri_owl_oneOf, Z, S1) <=> (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.93/1.13 tff(27,plain,(
% 0.93/1.13 ![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | ((~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1)))))))),
% 0.93/1.13 inference(skolemize,[status(sab)],[26])).
% 0.93/1.13 tff(28,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (((~iext(uri_owl_oneOf, Z, S1)) | (ic(Z) & ![X: $i] : (icext(Z, X) <=> (X = A1)))) & (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.93/1.13 tff(29,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.93/1.13 tff(30,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))) | (~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.93/1.13 tff(31,plain,
% 0.93/1.13 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.93/1.13 tff(32,plain,
% 0.93/1.13 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!141, uri_ex_u)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!141, uri_ex_u)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))))))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(33,plain,
% 0.93/1.13 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, X1!141, uri_ex_u)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))))))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(34,plain,
% 0.93/1.13 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, X1!141, uri_ex_u)) | (~iext(uri_rdf_rest, X1!141, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.93/1.13 tff(35,plain,
% 0.93/1.13 (~((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.93/1.13 tff(36,plain,
% 0.93/1.13 (((~(iext(uri_owl_oneOf, X0!140, X1!141) | (~ic(X0!140)) | (~(icext(X0!140, tptp_fun_X_8(uri_ex_u, X0!140)) <=> (tptp_fun_X_8(uri_ex_u, X0!140) = uri_ex_u))))) | (~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))))))) | ((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))),
% 0.93/1.13 inference(tautology,[status(thm)],[])).
% 0.93/1.13 tff(37,plain,
% 0.93/1.13 ((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.93/1.13 tff(38,plain,
% 0.93/1.13 (iext(uri_owl_oneOf, X0!140, X1!141)),
% 0.93/1.13 inference(and_elim,[status(thm)],[7])).
% 0.93/1.13 tff(39,plain,
% 0.93/1.13 ((~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))) | (~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))))),
% 0.93/1.13 inference(tautology,[status(thm)],[])).
% 0.93/1.13 tff(40,plain,
% 0.93/1.13 ((~((~iext(uri_owl_oneOf, X0!140, X1!141)) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))))) | (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.93/1.13 tff(41,plain,
% 0.93/1.13 (~((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.93/1.13 tff(42,plain,
% 0.93/1.13 (((~ic(X0!140)) | (~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u)))) | ![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))),
% 0.93/1.13 inference(tautology,[status(thm)],[])).
% 0.93/1.13 tff(43,plain,
% 0.93/1.13 (![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.93/1.13 tff(44,plain,
% 0.93/1.13 ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | (icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)) <=> (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(45,plain,
% 0.93/1.13 (icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)) <=> (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u)),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.93/1.13 tff(46,assumption,(~icext(X0!140, uri_ex_u)), introduced(assumption)).
% 0.93/1.13 tff(47,plain,
% 0.93/1.13 (((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | icext(X0!140, uri_ex_u)) <=> ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | icext(X0!140, uri_ex_u))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(48,plain,
% 0.93/1.13 ((icext(X0!140, uri_ex_u) <=> $true) <=> icext(X0!140, uri_ex_u)),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(49,plain,
% 0.93/1.13 ((uri_ex_u = uri_ex_u) <=> $true),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(50,plain,
% 0.93/1.13 ((icext(X0!140, uri_ex_u) <=> (uri_ex_u = uri_ex_u)) <=> (icext(X0!140, uri_ex_u) <=> $true)),
% 0.93/1.13 inference(monotonicity,[status(thm)],[49])).
% 0.93/1.13 tff(51,plain,
% 0.93/1.13 ((icext(X0!140, uri_ex_u) <=> (uri_ex_u = uri_ex_u)) <=> icext(X0!140, uri_ex_u)),
% 0.93/1.13 inference(transitivity,[status(thm)],[50, 48])).
% 0.93/1.13 tff(52,plain,
% 0.93/1.13 (((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | (icext(X0!140, uri_ex_u) <=> (uri_ex_u = uri_ex_u))) <=> ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | icext(X0!140, uri_ex_u))),
% 0.93/1.13 inference(monotonicity,[status(thm)],[51])).
% 0.93/1.13 tff(53,plain,
% 0.93/1.13 (((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | (icext(X0!140, uri_ex_u) <=> (uri_ex_u = uri_ex_u))) <=> ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | icext(X0!140, uri_ex_u))),
% 0.93/1.13 inference(transitivity,[status(thm)],[52, 47])).
% 0.93/1.13 tff(54,plain,
% 0.93/1.13 ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | (icext(X0!140, uri_ex_u) <=> (uri_ex_u = uri_ex_u))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(55,plain,
% 0.93/1.13 ((~![X: $i] : (icext(X0!140, X) <=> (X = uri_ex_u))) | icext(X0!140, uri_ex_u)),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.93/1.13 tff(56,plain,
% 0.93/1.13 ($false),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[55, 43, 46])).
% 0.93/1.13 tff(57,plain,(icext(X0!140, uri_ex_u)), inference(lemma,lemma(discharge,[]))).
% 0.93/1.13 tff(58,assumption,(icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))), introduced(assumption)).
% 0.93/1.13 tff(59,plain,
% 0.93/1.13 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(60,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[59])).
% 0.93/1.13 tff(61,plain,
% 0.93/1.13 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(62,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[61])).
% 0.93/1.13 tff(63,plain,
% 0.93/1.13 (^[C1: $i, C2: $i] : rewrite((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(64,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[63])).
% 0.93/1.13 tff(65,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(transitivity,[status(thm)],[64, 62])).
% 0.93/1.13 tff(66,plain,
% 0.93/1.13 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), trans(monotonicity(rewrite((~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))) <=> (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))), ((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))), rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(67,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[66])).
% 0.93/1.13 tff(68,plain,
% 0.93/1.13 (^[C1: $i, C2: $i] : rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(69,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[68])).
% 0.93/1.13 tff(70,plain,
% 0.93/1.13 (![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))))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(71,plain,
% 0.93/1.13 (^[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)))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(72,plain,
% 0.93/1.13 (![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))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[71])).
% 0.93/1.13 tff(73,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/Axioms/SWB001+0.ax','owl_eqdis_equivalentclass')).
% 0.93/1.13 tff(74,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.93/1.13 tff(75,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.93/1.13 tff(76,plain,(
% 0.93/1.13 ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | ((~ic(C1)) | (~ic(C2)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))),
% 0.93/1.13 inference(skolemize,[status(sab)],[75])).
% 0.93/1.13 tff(77,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[76, 69])).
% 0.93/1.13 tff(78,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[77, 67])).
% 0.93/1.13 tff(79,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[78, 65])).
% 0.93/1.13 tff(80,plain,
% 0.93/1.13 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[79, 60])).
% 0.93/1.13 tff(81,plain,
% 0.93/1.13 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)))))))))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(82,plain,
% 0.93/1.13 ((~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))))))))) <=> (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2))))))))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(83,plain,
% 0.93/1.13 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)))))))))),
% 0.93/1.13 inference(monotonicity,[status(thm)],[82])).
% 0.93/1.13 tff(84,plain,
% 0.93/1.13 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)))))))))),
% 0.93/1.13 inference(transitivity,[status(thm)],[83, 81])).
% 0.93/1.13 tff(85,plain,
% 0.93/1.13 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~ic(uri_ex_z2)) | (~ic(uri_ex_z1)) | (~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X)))))))))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(86,plain,
% 0.93/1.13 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | (~(icext(C1, tptp_fun_X_67(C2, C1)) <=> icext(C2, tptp_fun_X_67(C2, C1)))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2))))))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.93/1.13 tff(87,plain,
% 0.93/1.13 (~((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)))))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[86, 80])).
% 0.93/1.13 tff(88,plain,
% 0.93/1.13 (((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) | (~((~![X: $i] : (icext(uri_ex_z1, X) <=> icext(uri_ex_z2, X))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2))))))) | (iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))),
% 0.93/1.13 inference(tautology,[status(thm)],[])).
% 0.93/1.13 tff(89,plain,
% 0.93/1.13 (iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.93/1.13 tff(90,plain,
% 0.93/1.13 (iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)),
% 0.93/1.13 inference(and_elim,[status(thm)],[7])).
% 0.93/1.13 tff(91,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X))))) <=> ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(92,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[91])).
% 0.93/1.13 tff(93,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y))) <=> ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(94,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[93])).
% 0.93/1.13 tff(95,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y)))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(96,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_hasValue, X, Y) => (icext(uri_owl_Restriction, X) & ir(Y))) <=> ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(97,plain,
% 0.93/1.13 (![X: $i, Y: $i] : (iext(uri_owl_hasValue, X, Y) => (icext(uri_owl_Restriction, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y)))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[96])).
% 0.93/1.13 tff(98,axiom,(![X: $i, Y: $i] : (iext(uri_owl_hasValue, X, Y) => (icext(uri_owl_Restriction, X) & ir(Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_prop_hasvalue_ext')).
% 0.93/1.13 tff(99,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y)))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.93/1.13 tff(100,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y)))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.93/1.13 tff(101,plain,(
% 0.93/1.13 ![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (icext(uri_owl_Restriction, X) & ir(Y)))),
% 0.93/1.13 inference(skolemize,[status(sab)],[100])).
% 0.93/1.13 tff(102,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.93/1.13 tff(103,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[102, 92])).
% 0.93/1.13 tff(104,plain,
% 0.93/1.13 (((~![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))) | ((~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2)))))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(105,plain,
% 0.93/1.13 ((~![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))) | ((~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2)))))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(106,plain,
% 0.93/1.13 ((~![X: $i, Y: $i] : ((~iext(uri_owl_hasValue, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_Restriction, X)))))) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2))))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.93/1.13 tff(107,plain,
% 0.93/1.13 (~((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2)))),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[106, 103, 90])).
% 0.93/1.13 tff(108,plain,
% 0.93/1.13 (((~ir(uri_ex_u)) | (~icext(uri_owl_Restriction, uri_ex_z2))) | icext(uri_owl_Restriction, uri_ex_z2)),
% 0.93/1.13 inference(tautology,[status(thm)],[])).
% 0.93/1.13 tff(109,plain,
% 0.93/1.13 (icext(uri_owl_Restriction, uri_ex_z2)),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[108, 107])).
% 0.93/1.13 tff(110,plain,
% 0.93/1.13 (^[X: $i] : refl((ic(X) | (~icext(uri_owl_Restriction, X))) <=> (ic(X) | (~icext(uri_owl_Restriction, X))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(111,plain,
% 0.93/1.13 (![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X))) <=> ![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[110])).
% 0.93/1.13 tff(112,plain,
% 0.93/1.13 (![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X))) <=> ![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(113,plain,
% 0.93/1.13 (^[X: $i] : rewrite((icext(uri_owl_Restriction, X) => ic(X)) <=> (ic(X) | (~icext(uri_owl_Restriction, X))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(114,plain,
% 0.93/1.13 (![X: $i] : (icext(uri_owl_Restriction, X) => ic(X)) <=> ![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[113])).
% 0.93/1.13 tff(115,axiom,(![X: $i] : (icext(uri_owl_Restriction, X) => ic(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_class_restriction_ext')).
% 0.93/1.13 tff(116,plain,
% 0.93/1.13 (![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[115, 114])).
% 0.93/1.13 tff(117,plain,
% 0.93/1.13 (![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[116, 112])).
% 0.93/1.13 tff(118,plain,(
% 0.93/1.13 ![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(skolemize,[status(sab)],[117])).
% 0.93/1.13 tff(119,plain,
% 0.93/1.13 (![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[118, 111])).
% 0.93/1.13 tff(120,plain,
% 0.93/1.13 (((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | (ic(uri_ex_z2) | (~icext(uri_owl_Restriction, uri_ex_z2)))) <=> ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | ic(uri_ex_z2) | (~icext(uri_owl_Restriction, uri_ex_z2)))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(121,plain,
% 0.93/1.13 ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | (ic(uri_ex_z2) | (~icext(uri_owl_Restriction, uri_ex_z2)))),
% 0.93/1.13 inference(quant_inst,[status(thm)],[])).
% 0.93/1.13 tff(122,plain,
% 0.93/1.13 ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | ic(uri_ex_z2) | (~icext(uri_owl_Restriction, uri_ex_z2))),
% 0.93/1.13 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.93/1.13 tff(123,plain,
% 0.93/1.13 (ic(uri_ex_z2)),
% 0.93/1.13 inference(unit_resolution,[status(thm)],[122, 119, 109])).
% 0.93/1.13 tff(124,plain,
% 0.93/1.13 (iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)),
% 0.93/1.13 inference(and_elim,[status(thm)],[7])).
% 0.93/1.13 tff(125,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X))))) <=> ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(126,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[125])).
% 0.93/1.13 tff(127,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y))) <=> ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X))))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(128,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.13 inference(quant_intro,[status(thm)],[127])).
% 0.93/1.13 tff(129,plain,
% 0.93/1.13 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y)))),
% 0.93/1.13 inference(rewrite,[status(thm)],[])).
% 0.93/1.13 tff(130,plain,
% 0.93/1.13 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_someValuesFrom, X, Y) => (icext(uri_owl_Restriction, X) & ic(Y))) <=> ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y))))),
% 0.93/1.13 inference(bind,[status(th)],[])).
% 0.93/1.13 tff(131,plain,
% 0.93/1.13 (![X: $i, Y: $i] : (iext(uri_owl_someValuesFrom, X, Y) => (icext(uri_owl_Restriction, X) & ic(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[130])).
% 0.93/1.14 tff(132,axiom,(![X: $i, Y: $i] : (iext(uri_owl_someValuesFrom, X, Y) => (icext(uri_owl_Restriction, X) & ic(Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_prop_somevaluesfrom_ext')).
% 0.93/1.14 tff(133,plain,
% 0.93/1.14 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.93/1.14 tff(134,plain,
% 0.93/1.14 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[133, 129])).
% 0.93/1.14 tff(135,plain,(
% 0.93/1.14 ![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (icext(uri_owl_Restriction, X) & ic(Y)))),
% 0.93/1.14 inference(skolemize,[status(sab)],[134])).
% 0.93/1.14 tff(136,plain,
% 0.93/1.14 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.93/1.14 tff(137,plain,
% 0.93/1.14 (![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[136, 126])).
% 0.93/1.14 tff(138,plain,
% 0.93/1.14 (((~![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))) | ((~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | (~((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1)))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | (~((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1)))))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(139,plain,
% 0.93/1.14 ((~![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))) | ((~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | (~((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1)))))),
% 0.93/1.14 inference(quant_inst,[status(thm)],[])).
% 0.93/1.14 tff(140,plain,
% 0.93/1.14 ((~![X: $i, Y: $i] : ((~iext(uri_owl_someValuesFrom, X, Y)) | (~((~ic(Y)) | (~icext(uri_owl_Restriction, X)))))) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | (~((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.93/1.14 tff(141,plain,
% 0.93/1.14 (~((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[140, 137, 124])).
% 0.93/1.14 tff(142,plain,
% 0.93/1.14 (((~ic(X0!140)) | (~icext(uri_owl_Restriction, uri_ex_z1))) | icext(uri_owl_Restriction, uri_ex_z1)),
% 0.93/1.14 inference(tautology,[status(thm)],[])).
% 0.93/1.14 tff(143,plain,
% 0.93/1.14 (icext(uri_owl_Restriction, uri_ex_z1)),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[142, 141])).
% 0.93/1.14 tff(144,plain,
% 0.93/1.14 (((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | (ic(uri_ex_z1) | (~icext(uri_owl_Restriction, uri_ex_z1)))) <=> ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | ic(uri_ex_z1) | (~icext(uri_owl_Restriction, uri_ex_z1)))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(145,plain,
% 0.93/1.14 ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | (ic(uri_ex_z1) | (~icext(uri_owl_Restriction, uri_ex_z1)))),
% 0.93/1.14 inference(quant_inst,[status(thm)],[])).
% 0.93/1.14 tff(146,plain,
% 0.93/1.14 ((~![X: $i] : (ic(X) | (~icext(uri_owl_Restriction, X)))) | ic(uri_ex_z1) | (~icext(uri_owl_Restriction, uri_ex_z1))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.93/1.14 tff(147,plain,
% 0.93/1.14 (ic(uri_ex_z1)),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[146, 119, 143])).
% 0.93/1.14 tff(148,plain,
% 0.93/1.14 ((~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)) <=> (~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(149,axiom,(~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conclusion_rdfbased_sem_restrict_term_somehas')).
% 0.93/1.14 tff(150,plain,
% 0.93/1.14 (~iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2)),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[149, 148])).
% 0.93/1.14 tff(151,plain,
% 0.93/1.14 ((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))))),
% 0.93/1.14 inference(tautology,[status(thm)],[])).
% 0.93/1.14 tff(152,plain,
% 0.93/1.14 ((~(iext(uri_owl_equivalentClass, uri_ex_z1, uri_ex_z2) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))))) | (~ic(uri_ex_z1)) | (~ic(uri_ex_z2)) | (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[151, 150])).
% 0.93/1.14 tff(153,plain,
% 0.93/1.14 (~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[152, 147, 123, 89])).
% 0.93/1.14 tff(154,plain,
% 0.93/1.14 ((icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))),
% 0.93/1.14 inference(tautology,[status(thm)],[])).
% 0.93/1.14 tff(155,plain,
% 0.93/1.14 ((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[154, 153])).
% 0.93/1.14 tff(156,plain,
% 0.93/1.14 (~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[155, 58])).
% 0.93/1.14 tff(157,plain,
% 0.93/1.14 (iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)),
% 0.93/1.14 inference(and_elim,[status(thm)],[7])).
% 0.93/1.14 tff(158,plain,
% 0.93/1.14 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(159,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[158])).
% 0.93/1.14 tff(160,plain,
% 0.93/1.14 (^[Z: $i, P: $i, C: $i] : refl(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(161,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[160])).
% 0.93/1.14 tff(162,plain,
% 0.93/1.14 (^[Z: $i, P: $i, C: $i] : rewrite(((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(163,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[162])).
% 0.93/1.14 tff(164,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(transitivity,[status(thm)],[163, 161])).
% 0.93/1.14 tff(165,plain,
% 0.93/1.14 (^[Z: $i, P: $i, C: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))))), rewrite((~(~((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)))), ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))))), quant_intro(proof_bind(^[X: $i] : trans(monotonicity(rewrite(((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) <=> ((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))), rewrite((icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))) <=> (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))), rewrite((((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P)))))) & (icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))), ((((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), (![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))) <=> ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> (((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))))), rewrite((((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C))) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))), (((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(166,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y)))))) <=> ![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[165])).
% 0.93/1.14 tff(167,plain,
% 0.93/1.14 (![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))))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(168,plain,
% 0.93/1.14 (^[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)))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(169,plain,
% 0.93/1.14 (![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))))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[168])).
% 0.93/1.14 tff(170,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/Axioms/SWB001+0.ax','owl_restrict_somevaluesfrom')).
% 0.93/1.14 tff(171,plain,
% 0.93/1.14 (![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))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.93/1.14 tff(172,plain,
% 0.93/1.14 (![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))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[171, 167])).
% 0.93/1.14 tff(173,plain,(
% 0.93/1.14 ![Z: $i, P: $i, C: $i] : ((~(iext(uri_owl_someValuesFrom, Z, C) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (((~icext(Z, X)) | (iext(P, X, tptp_fun_Y_42(X, C, P)) & icext(C, tptp_fun_Y_42(X, C, P)))) & (icext(Z, X) | ![Y: $i] : (~(iext(P, X, Y) & icext(C, Y))))))),
% 0.93/1.14 inference(skolemize,[status(sab)],[172])).
% 0.93/1.14 tff(174,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[173, 166])).
% 0.93/1.14 tff(175,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))) | (~iext(uri_owl_someValuesFrom, Z, C)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[174, 164])).
% 0.93/1.14 tff(176,plain,
% 0.93/1.14 (![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[175, 159])).
% 0.93/1.14 tff(177,plain,
% 0.93/1.14 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))))))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(178,plain,
% 0.93/1.14 (((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~((~icext(uri_ex_z1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))) | (~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y)))))))) <=> ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))))))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(179,plain,
% 0.93/1.14 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~((~icext(uri_ex_z1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))) | (~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p)))))))))))),
% 0.93/1.14 inference(monotonicity,[status(thm)],[178])).
% 0.93/1.14 tff(180,plain,
% 0.93/1.14 (((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~((~icext(uri_ex_z1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))) | (~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))))))) <=> ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))))))),
% 0.93/1.14 inference(transitivity,[status(thm)],[179, 177])).
% 0.93/1.14 tff(181,plain,
% 0.93/1.14 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | ((~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~((~icext(uri_ex_z1, X)) | (~((~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))))))) | (~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))))))),
% 0.93/1.14 inference(quant_inst,[status(thm)],[])).
% 0.93/1.14 tff(182,plain,
% 0.93/1.14 ((~![Z: $i, P: $i, C: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_someValuesFrom, Z, C)) | ![X: $i] : (~((~((~icext(Z, X)) | (~((~iext(P, X, tptp_fun_Y_42(X, C, P))) | (~icext(C, tptp_fun_Y_42(X, C, P))))))) | (~(icext(Z, X) | ![Y: $i] : ((~icext(C, Y)) | (~iext(P, X, Y))))))))) | (~iext(uri_owl_onProperty, uri_ex_z1, uri_ex_p)) | (~iext(uri_owl_someValuesFrom, uri_ex_z1, X0!140)) | ![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p)))))))))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[181, 180])).
% 0.93/1.14 tff(183,plain,
% 0.93/1.14 (![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p)))))))))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[182, 176, 124, 157])).
% 0.93/1.14 tff(184,plain,
% 0.93/1.14 ((~![X: $i] : (~((~(icext(uri_ex_z1, X) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, X, Y))))) | (~((~icext(uri_ex_z1, X)) | (~((~icext(X0!140, tptp_fun_Y_42(X, X0!140, uri_ex_p))) | (~iext(uri_ex_p, X, tptp_fun_Y_42(X, X0!140, uri_ex_p)))))))))) | (~((~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))) | (~((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))))))),
% 0.93/1.14 inference(quant_inst,[status(thm)],[])).
% 0.93/1.14 tff(185,plain,
% 0.93/1.14 (~((~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))) | (~((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))))))))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.93/1.14 tff(186,plain,
% 0.93/1.14 (((~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))) | (~((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))))) | (icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))),
% 0.93/1.14 inference(tautology,[status(thm)],[])).
% 0.93/1.14 tff(187,plain,
% 0.93/1.14 (icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[186, 185])).
% 0.93/1.14 tff(188,plain,
% 0.93/1.14 ((~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))) | icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))),
% 0.93/1.14 inference(tautology,[status(thm)],[])).
% 0.93/1.14 tff(189,plain,
% 0.93/1.14 (icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[188, 187])).
% 0.93/1.14 tff(190,plain,
% 0.93/1.14 (![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))),
% 0.93/1.14 inference(unit_resolution,[status(thm)],[189, 156])).
% 0.93/1.14 tff(191,plain,
% 0.93/1.14 (iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)),
% 0.93/1.14 inference(and_elim,[status(thm)],[7])).
% 0.93/1.14 tff(192,plain,
% 0.93/1.14 (^[Z: $i, P: $i, A: $i] : rewrite((![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(193,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> ![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[192])).
% 0.93/1.14 tff(194,plain,
% 0.93/1.14 (^[Z: $i, P: $i, A: $i] : refl((![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(195,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> ![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[194])).
% 0.93/1.14 tff(196,plain,
% 0.93/1.14 (^[Z: $i, P: $i, A: $i] : rewrite((![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(197,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> ![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[196])).
% 0.93/1.14 tff(198,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A))) <=> ![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.14 inference(transitivity,[status(thm)],[197, 195])).
% 0.93/1.14 tff(199,plain,
% 0.93/1.14 (^[Z: $i, P: $i, A: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P)) <=> (~((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))))), ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) <=> (~(~((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))))))), rewrite((~(~((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))))) <=> ((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P)))), ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) <=> ((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))))), (((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> (((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))))), rewrite((((~iext(uri_owl_hasValue, Z, A)) | (~iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))), (((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(200,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> ![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[199])).
% 0.93/1.14 tff(201,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> ![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(rewrite,[status(thm)],[])).
% 0.93/1.14 tff(202,plain,
% 0.93/1.14 (^[Z: $i, P: $i, A: $i] : rewrite(((iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A))))),
% 0.93/1.14 inference(bind,[status(th)],[])).
% 0.93/1.14 tff(203,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : ((iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, A))) <=> ![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(quant_intro,[status(thm)],[202])).
% 0.93/1.14 tff(204,axiom,(![Z: $i, P: $i, A: $i] : ((iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P)) => ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_restrict_hasvalue')).
% 0.93/1.14 tff(205,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.93/1.14 tff(206,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[205, 201])).
% 0.93/1.14 tff(207,plain,(
% 0.93/1.14 ![Z: $i, P: $i, A: $i] : ((~(iext(uri_owl_hasValue, Z, A) & iext(uri_owl_onProperty, Z, P))) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.14 inference(skolemize,[status(sab)],[206])).
% 0.93/1.14 tff(208,plain,
% 0.93/1.14 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.14 inference(modus_ponens,[status(thm)],[207, 200])).
% 0.93/1.15 tff(209,plain,
% 0.93/1.15 (![Z: $i, P: $i, A: $i] : (![X: $i] : (icext(Z, X) <=> iext(P, X, A)) | (~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)))),
% 0.93/1.15 inference(modus_ponens,[status(thm)],[208, 198])).
% 0.93/1.15 tff(210,plain,
% 0.93/1.15 (![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))),
% 0.93/1.15 inference(modus_ponens,[status(thm)],[209, 193])).
% 0.93/1.15 tff(211,plain,
% 0.93/1.15 (((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | ((~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))) <=> ((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))),
% 0.93/1.15 inference(rewrite,[status(thm)],[])).
% 0.93/1.15 tff(212,plain,
% 0.93/1.15 (((~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u))) <=> ((~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))),
% 0.93/1.15 inference(rewrite,[status(thm)],[])).
% 0.93/1.15 tff(213,plain,
% 0.93/1.15 (((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | ((~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))) <=> ((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | ((~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u))))),
% 0.93/1.15 inference(monotonicity,[status(thm)],[212])).
% 0.93/1.15 tff(214,plain,
% 0.93/1.15 (((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | ((~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))) <=> ((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))),
% 0.93/1.15 inference(transitivity,[status(thm)],[213, 211])).
% 0.93/1.15 tff(215,plain,
% 0.93/1.15 ((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | ((~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u)))),
% 0.93/1.15 inference(quant_inst,[status(thm)],[])).
% 0.93/1.15 tff(216,plain,
% 0.93/1.15 ((~![Z: $i, P: $i, A: $i] : ((~iext(uri_owl_onProperty, Z, P)) | (~iext(uri_owl_hasValue, Z, A)) | ![X: $i] : (icext(Z, X) <=> iext(P, X, A)))) | (~iext(uri_owl_hasValue, uri_ex_z2, uri_ex_u)) | (~iext(uri_owl_onProperty, uri_ex_z2, uri_ex_p)) | ![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u))),
% 0.93/1.15 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.93/1.15 tff(217,plain,
% 0.93/1.15 (![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[216, 210, 90, 191])).
% 0.93/1.15 tff(218,plain,
% 0.93/1.15 ((~![X: $i] : (icext(uri_ex_z2, X) <=> iext(uri_ex_p, X, uri_ex_u))) | (icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))),
% 0.93/1.15 inference(quant_inst,[status(thm)],[])).
% 0.93/1.15 tff(219,plain,
% 0.93/1.15 (icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[218, 217])).
% 0.93/1.15 tff(220,plain,
% 0.93/1.15 ((~(icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))) | (~icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(221,plain,
% 0.93/1.15 ((~icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[220, 219])).
% 0.93/1.15 tff(222,plain,
% 0.93/1.15 (iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[221, 58])).
% 0.93/1.15 tff(223,plain,
% 0.93/1.15 (((~![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))) | ((~icext(X0!140, uri_ex_u)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)))) <=> ((~![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))) | (~icext(X0!140, uri_ex_u)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)))),
% 0.93/1.15 inference(rewrite,[status(thm)],[])).
% 0.93/1.15 tff(224,plain,
% 0.93/1.15 ((~![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))) | ((~icext(X0!140, uri_ex_u)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)))),
% 0.93/1.15 inference(quant_inst,[status(thm)],[])).
% 0.93/1.15 tff(225,plain,
% 0.93/1.15 ((~![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y)))) | (~icext(X0!140, uri_ex_u)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))),
% 0.93/1.15 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.93/1.15 tff(226,plain,
% 0.93/1.15 ($false),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[225, 222, 190, 57])).
% 0.93/1.15 tff(227,plain,(~icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))), inference(lemma,lemma(discharge,[]))).
% 0.93/1.15 tff(228,plain,
% 0.93/1.15 ((icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(229,plain,
% 0.93/1.15 (icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[228, 153])).
% 0.93/1.15 tff(230,plain,
% 0.93/1.15 (icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[229, 227])).
% 0.93/1.15 tff(231,plain,
% 0.93/1.15 (((~(icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | ![Y: $i] : ((~icext(X0!140, Y)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), Y))))) | (~((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))))) | ((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))))))),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(232,plain,
% 0.93/1.15 ((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[231, 185])).
% 0.93/1.15 tff(233,plain,
% 0.93/1.15 ((~((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))))))) | (~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(234,plain,
% 0.93/1.15 ((~icext(uri_ex_z1, tptp_fun_X_67(uri_ex_z2, uri_ex_z1))) | (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[233, 232])).
% 0.93/1.15 tff(235,plain,
% 0.93/1.15 (~((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[234, 230])).
% 0.93/1.15 tff(236,plain,
% 0.93/1.15 (((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))) | icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(237,plain,
% 0.93/1.15 (icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[236, 235])).
% 0.93/1.15 tff(238,plain,
% 0.93/1.15 ((~(icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)) <=> (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u))) | (~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u)),
% 0.93/1.15 inference(tautology,[status(thm)],[])).
% 0.93/1.15 tff(239,plain,
% 0.93/1.15 ((~(icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)) <=> (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u))) | (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u)),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[238, 237])).
% 0.93/1.15 tff(240,plain,
% 0.93/1.15 (tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p) = uri_ex_u),
% 0.93/1.15 inference(unit_resolution,[status(thm)],[239, 45])).
% 0.93/1.15 tff(241,plain,
% 0.93/1.15 (iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.15 inference(monotonicity,[status(thm)],[240])).
% 0.93/1.15 tff(242,plain,
% 0.93/1.15 (iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.15 inference(symmetry,[status(thm)],[241])).
% 0.93/1.15 tff(243,plain,
% 0.93/1.15 ((~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)) <=> (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))),
% 0.93/1.16 inference(monotonicity,[status(thm)],[242])).
% 0.93/1.16 tff(244,plain,
% 0.93/1.16 ((~(icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) <=> iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))) | icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))),
% 0.93/1.16 inference(tautology,[status(thm)],[])).
% 0.93/1.16 tff(245,plain,
% 0.93/1.16 (icext(uri_ex_z2, tptp_fun_X_67(uri_ex_z2, uri_ex_z1)) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u))),
% 0.93/1.16 inference(unit_resolution,[status(thm)],[244, 219])).
% 0.93/1.16 tff(246,plain,
% 0.93/1.16 (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), uri_ex_u)),
% 0.93/1.16 inference(unit_resolution,[status(thm)],[245, 227])).
% 0.93/1.16 tff(247,plain,
% 0.93/1.16 (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.16 inference(modus_ponens,[status(thm)],[246, 243])).
% 0.93/1.16 tff(248,plain,
% 0.93/1.16 (((~icext(X0!140, tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))) | (~iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p)))) | iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.16 inference(tautology,[status(thm)],[])).
% 0.93/1.16 tff(249,plain,
% 0.93/1.16 (iext(uri_ex_p, tptp_fun_X_67(uri_ex_z2, uri_ex_z1), tptp_fun_Y_42(tptp_fun_X_67(uri_ex_z2, uri_ex_z1), X0!140, uri_ex_p))),
% 0.93/1.16 inference(unit_resolution,[status(thm)],[248, 235])).
% 0.93/1.16 tff(250,plain,
% 0.93/1.16 ($false),
% 0.93/1.16 inference(unit_resolution,[status(thm)],[249, 247])).
% 0.93/1.16 % SZS output end Proof
% 0.93/1.17 % E exiting
%------------------------------------------------------------------------------