%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB031+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:29:42 AM UTC 2025
% Result : Unsatisfiable 0.85s 1.03s
% Output : Proof 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB031+1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.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 07:53:35 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.85/1.03 % SZS status Unsatisfiable
% 0.85/1.03 % SZS output start Proof
% 0.85/1.03 tff(icext_type, type, (
% 0.85/1.03 icext: ( $i * $i ) > $o)).
% 0.85/1.03 tff(tptp_fun_Z_139_type, type, (
% 0.85/1.03 tptp_fun_Z_139: ( $i * $i * $i ) > $i)).
% 0.85/1.03 tff(uri_rdf_rest_type, type, (
% 0.85/1.03 uri_rdf_rest: $i)).
% 0.85/1.03 tff(tptp_fun_BNODE_l_140_type, type, (
% 0.85/1.03 tptp_fun_BNODE_l_140: $i)).
% 0.85/1.03 tff(uri_owl_Nothing_type, type, (
% 0.85/1.03 uri_owl_Nothing: $i)).
% 0.85/1.03 tff(uri_owl_NegativePropertyAssertion_type, type, (
% 0.85/1.03 uri_owl_NegativePropertyAssertion: $i)).
% 0.85/1.03 tff(uri_ex_w_type, type, (
% 0.85/1.03 uri_ex_w: $i)).
% 0.85/1.03 tff(tptp_fun_BNODE_x_141_type, type, (
% 0.85/1.03 tptp_fun_BNODE_x_141: $i)).
% 0.85/1.03 tff(ic_type, type, (
% 0.85/1.03 ic: $i > $o)).
% 0.85/1.03 tff(iext_type, type, (
% 0.85/1.03 iext: ( $i * $i * $i ) > $o)).
% 0.85/1.03 tff(uri_owl_oneOf_type, type, (
% 0.85/1.03 uri_owl_oneOf: $i)).
% 0.85/1.03 tff(tptp_fun_X_8_type, type, (
% 0.85/1.03 tptp_fun_X_8: ( $i * $i ) > $i)).
% 0.85/1.03 tff(uri_rdf_nil_type, type, (
% 0.85/1.03 uri_rdf_nil: $i)).
% 0.85/1.03 tff(uri_rdf_first_type, type, (
% 0.85/1.03 uri_rdf_first: $i)).
% 0.85/1.03 tff(uri_owl_Thing_type, type, (
% 0.85/1.03 uri_owl_Thing: $i)).
% 0.85/1.03 tff(uri_owl_equivalentClass_type, type, (
% 0.85/1.03 uri_owl_equivalentClass: $i)).
% 0.85/1.03 tff(tptp_fun_X_67_type, type, (
% 0.85/1.03 tptp_fun_X_67: ( $i * $i ) > $i)).
% 0.85/1.03 tff(ir_type, type, (
% 0.85/1.03 ir: $i > $o)).
% 0.85/1.03 tff(uri_owl_targetIndividual_type, type, (
% 0.85/1.03 uri_owl_targetIndividual: $i)).
% 0.85/1.03 tff(uri_owl_assertionProperty_type, type, (
% 0.85/1.03 uri_owl_assertionProperty: $i)).
% 0.85/1.03 tff(uri_owl_sourceIndividual_type, type, (
% 0.85/1.03 uri_owl_sourceIndividual: $i)).
% 0.85/1.03 tff(tptp_fun_Z_77_type, type, (
% 0.85/1.03 tptp_fun_Z_77: $i > $i)).
% 0.85/1.03 tff(uri_owl_members_type, type, (
% 0.85/1.03 uri_owl_members: $i)).
% 0.85/1.03 tff(uri_owl_AllDifferent_type, type, (
% 0.85/1.03 uri_owl_AllDifferent: $i)).
% 0.85/1.03 tff(tptp_fun_Z_88_type, type, (
% 0.85/1.03 tptp_fun_Z_88: $i > $i)).
% 0.85/1.03 tff(ip_type, type, (
% 0.85/1.03 ip: $i > $o)).
% 0.85/1.03 tff(uri_owl_AllDisjointProperties_type, type, (
% 0.85/1.03 uri_owl_AllDisjointProperties: $i)).
% 0.85/1.03 tff(1,plain,
% 0.85/1.03 (?[BNODE_x: $i, BNODE_l: $i] : (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)) <=> ?[BNODE_x: $i, BNODE_l: $i] : (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))),
% 0.85/1.03 inference(rewrite,[status(thm)],[])).
% 0.85/1.03 tff(2,plain,
% 0.85/1.03 (^[BNODE_x: $i, BNODE_l: $i] : trans(monotonicity(rewrite(((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l)) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) <=> (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w))), ((((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l)) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)) <=> ((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)))), rewrite(((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)) <=> (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))), ((((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l)) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)) <=> (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))))),
% 0.85/1.03 inference(bind,[status(th)],[])).
% 0.85/1.03 tff(3,plain,
% 0.85/1.03 (?[BNODE_x: $i, BNODE_l: $i] : (((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l)) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil)) <=> ?[BNODE_x: $i, BNODE_l: $i] : (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))),
% 0.85/1.03 inference(quant_intro,[status(thm)],[2])).
% 0.85/1.03 tff(4,axiom,(?[BNODE_x: $i, BNODE_l: $i] : (((iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l)) & iext(uri_rdf_first, BNODE_l, uri_ex_w)) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','testcase_premise_fullish_031_Large_Universe')).
% 0.85/1.03 tff(5,plain,
% 0.85/1.03 (?[BNODE_x: $i, BNODE_l: $i] : (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))),
% 0.85/1.03 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.85/1.03 tff(6,plain,
% 0.85/1.03 (?[BNODE_x: $i, BNODE_l: $i] : (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x) & iext(uri_owl_oneOf, BNODE_x, BNODE_l) & iext(uri_rdf_first, BNODE_l, uri_ex_w) & iext(uri_rdf_rest, BNODE_l, uri_rdf_nil))),
% 0.85/1.03 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.85/1.03 tff(7,plain,(
% 0.85/1.03 iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141) & iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) & iext(uri_rdf_first, BNODE_l!140, uri_ex_w) & iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)),
% 0.85/1.03 inference(skolemize,[status(sab)],[6])).
% 0.85/1.03 tff(8,plain,
% 0.85/1.03 (iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)),
% 0.85/1.03 inference(and_elim,[status(thm)],[7])).
% 0.85/1.03 tff(9,plain,
% 0.85/1.03 (iext(uri_rdf_first, BNODE_l!140, uri_ex_w)),
% 0.85/1.03 inference(and_elim,[status(thm)],[7])).
% 0.85/1.03 tff(10,plain,
% 0.85/1.03 (^[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)))))))))))),
% 0.85/1.03 inference(bind,[status(th)],[])).
% 0.85/1.03 tff(11,plain,
% 0.85/1.03 (![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))))))))))),
% 0.85/1.03 inference(quant_intro,[status(thm)],[10])).
% 0.85/1.03 tff(12,plain,
% 0.85/1.03 (^[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)))))))))),
% 0.85/1.03 inference(bind,[status(th)],[])).
% 0.85/1.03 tff(13,plain,
% 0.85/1.03 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[12])).
% 0.85/1.04 tff(14,plain,
% 0.85/1.04 (^[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)))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(15,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[14])).
% 0.85/1.04 tff(16,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(transitivity,[status(thm)],[15, 13])).
% 0.85/1.04 tff(17,plain,
% 0.85/1.04 (^[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))))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(18,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[17])).
% 0.85/1.04 tff(19,plain,
% 0.85/1.04 (^[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)))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(20,plain,
% 0.85/1.04 (![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))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[19])).
% 0.85/1.04 tff(21,plain,
% 0.85/1.04 (![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)))))),
% 0.85/1.04 inference(rewrite,[status(thm)],[])).
% 0.85/1.04 tff(22,plain,
% 0.85/1.04 (^[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)))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(23,plain,
% 0.85/1.04 (![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)))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[22])).
% 0.85/1.04 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')).
% 0.85/1.04 tff(25,plain,
% 0.85/1.04 (![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)))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.85/1.04 tff(26,plain,
% 0.85/1.04 (![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)))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.85/1.04 tff(27,plain,(
% 0.85/1.04 ![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)))))))),
% 0.85/1.04 inference(skolemize,[status(sab)],[26])).
% 0.85/1.04 tff(28,plain,
% 0.85/1.04 (![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))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.85/1.04 tff(29,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.85/1.04 tff(30,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.85/1.04 tff(31,plain,
% 0.85/1.04 (![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))))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.85/1.04 tff(32,plain,
% 0.85/1.04 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))))))),
% 0.85/1.04 inference(rewrite,[status(thm)],[])).
% 0.85/1.04 tff(33,plain,
% 0.85/1.04 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))))))),
% 0.85/1.04 inference(quant_inst,[status(thm)],[])).
% 0.85/1.04 tff(34,plain,
% 0.85/1.04 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | (~(icext(Z, tptp_fun_X_8(A1, Z)) <=> (tptp_fun_X_8(A1, Z) = A1))))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.85/1.04 tff(35,plain,
% 0.85/1.04 (~((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.85/1.04 tff(36,plain,
% 0.85/1.04 (((~(iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140) | (~ic(BNODE_x!141)) | (~(icext(BNODE_x!141, tptp_fun_X_8(uri_ex_w, BNODE_x!141)) <=> (tptp_fun_X_8(uri_ex_w, BNODE_x!141) = uri_ex_w))))) | (~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))))))) | ((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(37,plain,
% 0.85/1.04 ((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.85/1.04 tff(38,plain,
% 0.85/1.04 (iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)),
% 0.85/1.04 inference(and_elim,[status(thm)],[7])).
% 0.85/1.04 tff(39,plain,
% 0.85/1.04 ((~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))) | (~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(40,plain,
% 0.85/1.04 ((~((~iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))))) | (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.85/1.04 tff(41,plain,
% 0.85/1.04 (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.85/1.04 tff(42,plain,
% 0.85/1.04 (((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w)))) | ![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(43,plain,
% 0.85/1.04 (![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.85/1.04 tff(44,plain,
% 0.85/1.04 ((~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!141, uri_owl_NegativePropertyAssertion) <=> (uri_owl_NegativePropertyAssertion = uri_ex_w))),
% 0.85/1.04 inference(quant_inst,[status(thm)],[])).
% 0.85/1.04 tff(45,plain,
% 0.85/1.04 (icext(BNODE_x!141, uri_owl_NegativePropertyAssertion) <=> (uri_owl_NegativePropertyAssertion = uri_ex_w)),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.85/1.04 tff(46,plain,
% 0.85/1.04 (^[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))))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(47,plain,
% 0.85/1.04 (![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)))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[46])).
% 0.85/1.04 tff(48,plain,
% 0.85/1.04 (^[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)))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(49,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[48])).
% 0.85/1.04 tff(50,plain,
% 0.85/1.04 (^[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)))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(51,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[50])).
% 0.85/1.04 tff(52,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(transitivity,[status(thm)],[51, 49])).
% 0.85/1.04 tff(53,plain,
% 0.85/1.04 (^[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))))))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(54,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[53])).
% 0.85/1.04 tff(55,plain,
% 0.85/1.04 (^[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)))))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(56,plain,
% 0.85/1.04 (![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))))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[55])).
% 0.85/1.04 tff(57,plain,
% 0.85/1.04 (![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))))),
% 0.85/1.04 inference(rewrite,[status(thm)],[])).
% 0.85/1.04 tff(58,plain,
% 0.85/1.04 (^[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)))))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(59,plain,
% 0.85/1.04 (![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))))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[58])).
% 0.85/1.04 tff(60,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')).
% 0.85/1.04 tff(61,plain,
% 0.85/1.04 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.85/1.04 tff(62,plain,
% 0.85/1.04 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.85/1.04 tff(63,plain,(
% 0.85/1.04 ![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)))))))),
% 0.85/1.04 inference(skolemize,[status(sab)],[62])).
% 0.85/1.04 tff(64,plain,
% 0.85/1.04 (![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))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.85/1.04 tff(65,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.85/1.04 tff(66,plain,
% 0.85/1.04 (![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))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.85/1.04 tff(67,plain,
% 0.85/1.04 (![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)))))))))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.85/1.04 tff(68,plain,
% 0.85/1.04 ((~![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_owl_Thing, BNODE_x!141) | (~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~(icext(uri_owl_Thing, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)) <=> icext(BNODE_x!141, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))))))))),
% 0.85/1.04 inference(quant_inst,[status(thm)],[])).
% 0.85/1.04 tff(69,plain,
% 0.85/1.04 (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141) | (~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~(icext(uri_owl_Thing, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)) <=> icext(BNODE_x!141, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.85/1.04 tff(70,plain,
% 0.85/1.04 (((~(iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141) | (~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~(icext(uri_owl_Thing, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)) <=> icext(BNODE_x!141, tptp_fun_X_67(BNODE_x!141, uri_owl_Thing)))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))))))) | ((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(71,plain,
% 0.85/1.04 ((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.85/1.04 tff(72,plain,
% 0.85/1.04 (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)),
% 0.85/1.04 inference(and_elim,[status(thm)],[7])).
% 0.85/1.04 tff(73,plain,
% 0.85/1.04 ((~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))))) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(74,plain,
% 0.85/1.04 ((~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))))) | (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.85/1.04 tff(75,plain,
% 0.85/1.04 (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[74, 71])).
% 0.85/1.04 tff(76,plain,
% 0.85/1.04 (((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X)))) | ![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))),
% 0.85/1.04 inference(tautology,[status(thm)],[])).
% 0.85/1.04 tff(77,plain,
% 0.85/1.04 (![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.85/1.04 tff(78,plain,
% 0.85/1.04 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))) | (icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> icext(BNODE_x!141, uri_owl_NegativePropertyAssertion))),
% 0.85/1.04 inference(quant_inst,[status(thm)],[])).
% 0.85/1.04 tff(79,plain,
% 0.85/1.04 (icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> icext(BNODE_x!141, uri_owl_NegativePropertyAssertion)),
% 0.85/1.04 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.85/1.04 tff(80,plain,
% 0.85/1.04 (^[X: $i] : refl((icext(uri_owl_Thing, X) <=> ir(X)) <=> (icext(uri_owl_Thing, X) <=> ir(X)))),
% 0.85/1.04 inference(bind,[status(th)],[])).
% 0.85/1.04 tff(81,plain,
% 0.85/1.04 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.85/1.04 inference(quant_intro,[status(thm)],[80])).
% 0.85/1.04 tff(82,plain,
% 0.85/1.04 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.85/1.04 inference(rewrite,[status(thm)],[])).
% 0.85/1.04 tff(83,axiom,(![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_class_thing_ext')).
% 0.85/1.04 tff(84,plain,
% 0.85/1.04 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.85/1.04 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.85/1.04 tff(85,plain,(
% 0.85/1.04 ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.85/1.04 inference(skolemize,[status(sab)],[84])).
% 0.85/1.05 tff(86,plain,
% 0.85/1.05 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.85/1.05 tff(87,plain,
% 0.85/1.05 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> ir(uri_owl_NegativePropertyAssertion))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(88,plain,
% 0.85/1.05 (icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> ir(uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.85/1.05 tff(89,plain,
% 0.85/1.05 (ic(uri_owl_NegativePropertyAssertion) <=> ic(uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(90,axiom,(ic(uri_owl_NegativePropertyAssertion)), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_class_negativepropertyassertion_type')).
% 0.85/1.05 tff(91,plain,
% 0.85/1.05 (ic(uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.85/1.05 tff(92,plain,
% 0.85/1.05 (^[X: $i] : refl((ir(X) | (~ic(X))) <=> (ir(X) | (~ic(X))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(93,plain,
% 0.85/1.05 (![X: $i] : (ir(X) | (~ic(X))) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[92])).
% 0.85/1.05 tff(94,plain,
% 0.85/1.05 (![X: $i] : (ir(X) | (~ic(X))) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(95,plain,
% 0.85/1.05 (^[X: $i] : rewrite((ic(X) => ir(X)) <=> (ir(X) | (~ic(X))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(96,plain,
% 0.85/1.05 (![X: $i] : (ic(X) => ir(X)) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[95])).
% 0.85/1.05 tff(97,axiom,(![X: $i] : (ic(X) => ir(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_parts_ic_cond_set')).
% 0.85/1.05 tff(98,plain,
% 0.85/1.05 (![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.85/1.05 tff(99,plain,
% 0.85/1.05 (![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.85/1.05 tff(100,plain,(
% 0.85/1.05 ![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(skolemize,[status(sab)],[99])).
% 0.85/1.05 tff(101,plain,
% 0.85/1.05 (![X: $i] : (ir(X) | (~ic(X)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[100, 93])).
% 0.85/1.05 tff(102,plain,
% 0.85/1.05 (((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_NegativePropertyAssertion) | (~ic(uri_owl_NegativePropertyAssertion)))) <=> ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_NegativePropertyAssertion) | (~ic(uri_owl_NegativePropertyAssertion)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(103,plain,
% 0.85/1.05 ((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_NegativePropertyAssertion) | (~ic(uri_owl_NegativePropertyAssertion)))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(104,plain,
% 0.85/1.05 ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_NegativePropertyAssertion) | (~ic(uri_owl_NegativePropertyAssertion))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.85/1.05 tff(105,plain,
% 0.85/1.05 (ir(uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[104, 101, 91])).
% 0.85/1.05 tff(106,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> ir(uri_owl_NegativePropertyAssertion))) | icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) | (~ir(uri_owl_NegativePropertyAssertion))),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(107,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> ir(uri_owl_NegativePropertyAssertion))) | icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[106, 105])).
% 0.85/1.05 tff(108,plain,
% 0.85/1.05 (icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[107, 88])).
% 0.85/1.05 tff(109,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> icext(BNODE_x!141, uri_owl_NegativePropertyAssertion))) | (~icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion)) | icext(BNODE_x!141, uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(110,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_NegativePropertyAssertion) <=> icext(BNODE_x!141, uri_owl_NegativePropertyAssertion))) | icext(BNODE_x!141, uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[109, 108])).
% 0.85/1.05 tff(111,plain,
% 0.85/1.05 (icext(BNODE_x!141, uri_owl_NegativePropertyAssertion)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[110, 79])).
% 0.85/1.05 tff(112,plain,
% 0.85/1.05 ((~(icext(BNODE_x!141, uri_owl_NegativePropertyAssertion) <=> (uri_owl_NegativePropertyAssertion = uri_ex_w))) | (~icext(BNODE_x!141, uri_owl_NegativePropertyAssertion)) | (uri_owl_NegativePropertyAssertion = uri_ex_w)),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(113,plain,
% 0.85/1.05 ((~(icext(BNODE_x!141, uri_owl_NegativePropertyAssertion) <=> (uri_owl_NegativePropertyAssertion = uri_ex_w))) | (uri_owl_NegativePropertyAssertion = uri_ex_w)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[112, 111])).
% 0.85/1.05 tff(114,plain,
% 0.85/1.05 (uri_owl_NegativePropertyAssertion = uri_ex_w),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[113, 45])).
% 0.85/1.05 tff(115,plain,
% 0.85/1.05 (uri_ex_w = uri_owl_NegativePropertyAssertion),
% 0.85/1.05 inference(symmetry,[status(thm)],[114])).
% 0.85/1.05 tff(116,plain,
% 0.85/1.05 ((~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(117,plain,
% 0.85/1.05 (icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[116, 43])).
% 0.85/1.05 tff(118,plain,
% 0.85/1.05 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))) | (icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(119,plain,
% 0.85/1.05 (icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[118, 77])).
% 0.85/1.05 tff(120,plain,
% 0.85/1.05 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(121,plain,
% 0.85/1.05 (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[120, 86])).
% 0.85/1.05 tff(122,plain,
% 0.85/1.05 (ic(uri_owl_Nothing) <=> ic(uri_owl_Nothing)),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(123,axiom,(ic(uri_owl_Nothing)), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_class_nothing_type')).
% 0.85/1.05 tff(124,plain,
% 0.85/1.05 (ic(uri_owl_Nothing)),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.85/1.05 tff(125,plain,
% 0.85/1.05 (((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing)))) <=> ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(126,plain,
% 0.85/1.05 ((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing)))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(127,plain,
% 0.85/1.05 ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.85/1.05 tff(128,plain,
% 0.85/1.05 (ir(uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[127, 101, 124])).
% 0.85/1.05 tff(129,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing) | (~ir(uri_owl_Nothing))),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(130,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[129, 128])).
% 0.85/1.05 tff(131,plain,
% 0.85/1.05 (icext(uri_owl_Thing, uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[130, 121])).
% 0.85/1.05 tff(132,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing))) | (~icext(uri_owl_Thing, uri_owl_Nothing)) | icext(BNODE_x!141, uri_owl_Nothing)),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(133,plain,
% 0.85/1.05 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing))) | icext(BNODE_x!141, uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[132, 131])).
% 0.85/1.05 tff(134,plain,
% 0.85/1.05 (icext(BNODE_x!141, uri_owl_Nothing)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[133, 119])).
% 0.85/1.05 tff(135,plain,
% 0.85/1.05 ((~(icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))) | (~icext(BNODE_x!141, uri_owl_Nothing)) | (uri_owl_Nothing = uri_ex_w)),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(136,plain,
% 0.85/1.05 ((~(icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))) | (uri_owl_Nothing = uri_ex_w)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[135, 134])).
% 0.85/1.05 tff(137,plain,
% 0.85/1.05 (uri_owl_Nothing = uri_ex_w),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[136, 117])).
% 0.85/1.05 tff(138,plain,
% 0.85/1.05 (uri_owl_Nothing = uri_owl_NegativePropertyAssertion),
% 0.85/1.05 inference(transitivity,[status(thm)],[137, 115])).
% 0.85/1.05 tff(139,plain,
% 0.85/1.05 (icext(uri_owl_Nothing, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest)) <=> icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.85/1.05 inference(monotonicity,[status(thm)],[138])).
% 0.85/1.05 tff(140,plain,
% 0.85/1.05 (icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest)) <=> icext(uri_owl_Nothing, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.85/1.05 inference(symmetry,[status(thm)],[139])).
% 0.85/1.05 tff(141,plain,
% 0.85/1.05 (^[S1: $i, A1: $i] : refl(((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(142,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))) <=> ![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[141])).
% 0.85/1.05 tff(143,plain,
% 0.85/1.05 (^[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))))), rewrite((icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1)) & iext(uri_owl_members, tptp_fun_Z_77(S1), S1)) <=> (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1)) & iext(uri_owl_members, tptp_fun_Z_77(S1), S1))) <=> (((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))))), rewrite((((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1))))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))), (((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1)) & iext(uri_owl_members, tptp_fun_Z_77(S1), S1))) <=> ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(144,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1)) & iext(uri_owl_members, tptp_fun_Z_77(S1), S1))) <=> ![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[143])).
% 0.85/1.05 tff(145,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))) <=> ![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(146,plain,
% 0.85/1.05 (^[S1: $i, A1: $i] : rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))) <=> ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(147,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))) <=> ![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[146])).
% 0.85/1.05 tff(148,axiom,(![S1: $i, A1: $i] : ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_ndis_alldifferent_members_fi_001')).
% 0.85/1.05 tff(149,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.85/1.05 tff(150,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.85/1.05 tff(151,plain,(
% 0.85/1.05 ![S1: $i, A1: $i] : ((~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1)) & iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))),
% 0.85/1.05 inference(skolemize,[status(sab)],[150])).
% 0.85/1.05 tff(152,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.85/1.05 tff(153,plain,
% 0.85/1.05 (![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[152, 142])).
% 0.85/1.05 tff(154,plain,
% 0.85/1.05 (((~![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))))) <=> ((~![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(155,plain,
% 0.85/1.05 ((~![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(156,plain,
% 0.85/1.05 ((~![S1: $i, A1: $i] : ((~iext(uri_rdf_first, S1, A1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(S1))) | (~iext(uri_owl_members, tptp_fun_Z_77(S1), S1)))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140))))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.85/1.05 tff(157,plain,
% 0.85/1.05 (~((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[156, 153, 9, 8])).
% 0.85/1.05 tff(158,plain,
% 0.85/1.05 (((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140))) | iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(159,plain,
% 0.85/1.05 (iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.85/1.05 tff(160,plain,
% 0.85/1.05 (((~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140))) | icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))),
% 0.85/1.05 inference(tautology,[status(thm)],[])).
% 0.85/1.05 tff(161,plain,
% 0.85/1.05 (icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))),
% 0.85/1.05 inference(unit_resolution,[status(thm)],[160, 157])).
% 0.85/1.05 tff(162,plain,
% 0.85/1.05 (^[Z: $i, S1: $i, S2: $i, A2: $i] : refl(((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1))) <=> ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(163,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[162])).
% 0.85/1.05 tff(164,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(165,plain,
% 0.85/1.05 (^[Z: $i, S1: $i, S2: $i, A2: $i] : rewrite(((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z))) <=> ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(166,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[165])).
% 0.85/1.05 tff(167,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z)))),
% 0.85/1.05 inference(elim_unused_vars,[status(thm)],[])).
% 0.85/1.05 tff(168,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))) <=> ![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z)))),
% 0.85/1.05 inference(destructive_equality_resolution,[status(thm)],[])).
% 0.85/1.05 tff(169,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_owl_members, Z, S1)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, Z)))),
% 0.85/1.05 inference(transitivity,[status(thm)],[168, 167])).
% 0.85/1.05 tff(170,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(transitivity,[status(thm)],[169, 166])).
% 0.85/1.05 tff(171,plain,
% 0.85/1.05 (^[Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2))), ((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil))), ((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil)))), (((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z))), (((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z)))), ((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))), ((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) <=> (iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)))), (((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))) <=> ((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))))), rewrite(((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))) <=> ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))))), (((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))) <=> ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))))))),
% 0.85/1.05 inference(bind,[status(th)],[])).
% 0.85/1.05 tff(172,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))) <=> ![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((~(A1 = A2)) | (~(iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2) & iext(uri_rdf_first, S2, A2) & iext(uri_rdf_rest, S2, uri_rdf_nil) & icext(uri_owl_AllDifferent, Z) & iext(uri_owl_members, Z, S1))))),
% 0.85/1.05 inference(quant_intro,[status(thm)],[171])).
% 0.85/1.05 tff(173,plain,
% 0.85/1.05 (![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2))) <=> ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(transitivity,[status(thm)],[172, 170])).
% 0.85/1.05 tff(174,axiom,(![Z: $i, S1: $i, A1: $i, S2: $i, A2: $i] : ((((((iext(uri_rdf_first, S1, A1) & iext(uri_rdf_rest, S1, S2)) & iext(uri_rdf_first, S2, A2)) & iext(uri_rdf_rest, S2, uri_rdf_nil)) & icext(uri_owl_AllDifferent, Z)) & iext(uri_owl_members, Z, S1)) => (~(A1 = A2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_ndis_alldifferent_members_if_002')).
% 0.85/1.05 tff(175,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.85/1.05 tff(176,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[175, 164])).
% 0.85/1.05 tff(177,plain,(
% 0.85/1.05 ![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(skolemize,[status(sab)],[176])).
% 0.85/1.05 tff(178,plain,
% 0.85/1.05 (![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))),
% 0.85/1.05 inference(modus_ponens,[status(thm)],[177, 163])).
% 0.85/1.05 tff(179,plain,
% 0.85/1.05 (((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)))) <=> ((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(180,plain,
% 0.85/1.05 (((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140))) <=> ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)))),
% 0.85/1.05 inference(rewrite,[status(thm)],[])).
% 0.85/1.05 tff(181,plain,
% 0.85/1.05 (((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))) <=> ((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140))))),
% 0.85/1.05 inference(monotonicity,[status(thm)],[180])).
% 0.85/1.05 tff(182,plain,
% 0.85/1.05 (((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))) <=> ((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)))),
% 0.85/1.05 inference(transitivity,[status(thm)],[181, 179])).
% 0.85/1.05 tff(183,plain,
% 0.85/1.05 ((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)))),
% 0.85/1.05 inference(quant_inst,[status(thm)],[])).
% 0.85/1.05 tff(184,plain,
% 0.85/1.06 ((~![Z: $i, S1: $i, S2: $i, A2: $i] : ((~iext(uri_rdf_first, S2, A2)) | (~iext(uri_rdf_rest, S2, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A2)) | (~iext(uri_rdf_rest, S1, S2)) | (~icext(uri_owl_AllDifferent, Z)) | (~iext(uri_owl_members, Z, S1)))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~icext(uri_owl_AllDifferent, tptp_fun_Z_77(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_77(BNODE_l!140), BNODE_l!140)) | (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[183, 182])).
% 0.85/1.06 tff(185,plain,
% 0.85/1.06 (~iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140)),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[184, 178, 9, 8, 161, 159])).
% 0.85/1.06 tff(186,plain,
% 0.85/1.06 (ip(uri_owl_members) <=> ip(uri_owl_members)),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(187,axiom,(ip(uri_owl_members)), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_prop_members_type')).
% 0.85/1.06 tff(188,plain,
% 0.85/1.06 (ip(uri_owl_members)),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.85/1.06 tff(189,plain,
% 0.85/1.06 (^[X: $i] : refl(((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) <=> ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(190,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[189])).
% 0.85/1.06 tff(191,plain,
% 0.85/1.06 (^[X: $i] : rewrite(((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) <=> ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(192,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[191])).
% 0.85/1.06 tff(193,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(transitivity,[status(thm)],[192, 190])).
% 0.85/1.06 tff(194,plain,
% 0.85/1.06 (^[X: $i] : rewrite(((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z)))) <=> ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(195,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z)))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[194])).
% 0.85/1.06 tff(196,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z)))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(197,plain,
% 0.85/1.06 (^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[Y: $i, Z: $i] : rewrite((iext(X, Y, Z) => (ir(Y) & ir(Z))) <=> ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))), (![Y: $i, Z: $i] : (iext(X, Y, Z) => (ir(Y) & ir(Z))) <=> ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))), ((ip(X) => ![Y: $i, Z: $i] : (iext(X, Y, Z) => (ir(Y) & ir(Z)))) <=> (ip(X) => ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z)))))), rewrite((ip(X) => ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z)))) <=> ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))), ((ip(X) => ![Y: $i, Z: $i] : (iext(X, Y, Z) => (ir(Y) & ir(Z)))) <=> ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(198,plain,
% 0.85/1.06 (![X: $i] : (ip(X) => ![Y: $i, Z: $i] : (iext(X, Y, Z) => (ir(Y) & ir(Z)))) <=> ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[197])).
% 0.85/1.06 tff(199,axiom,(![X: $i] : (ip(X) => ![Y: $i, Z: $i] : (iext(X, Y, Z) => (ir(Y) & ir(Z))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_parts_ip_cond_inst')).
% 0.85/1.06 tff(200,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.85/1.06 tff(201,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[200, 196])).
% 0.85/1.06 tff(202,plain,(
% 0.85/1.06 ![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (ir(Y) & ir(Z))))),
% 0.85/1.06 inference(skolemize,[status(sab)],[201])).
% 0.85/1.06 tff(203,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[202, 195])).
% 0.85/1.06 tff(204,plain,
% 0.85/1.06 (![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[203, 193])).
% 0.85/1.06 tff(205,plain,
% 0.85/1.06 (((~![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))) | ((~ip(uri_owl_members)) | ![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))) <=> ((~![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))) | (~ip(uri_owl_members)) | ![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(206,plain,
% 0.85/1.06 ((~![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))) | ((~ip(uri_owl_members)) | ![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))),
% 0.85/1.06 inference(quant_inst,[status(thm)],[])).
% 0.85/1.06 tff(207,plain,
% 0.85/1.06 ((~![X: $i] : ((~ip(X)) | ![Y: $i, Z: $i] : ((~iext(X, Y, Z)) | (~((~ir(Y)) | (~ir(Z))))))) | (~ip(uri_owl_members)) | ![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.85/1.06 tff(208,plain,
% 0.85/1.06 (![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[207, 204, 188])).
% 0.85/1.06 tff(209,plain,
% 0.85/1.06 (^[S1: $i, P1: $i] : refl(((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))) <=> ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(210,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))) <=> ![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[209])).
% 0.85/1.06 tff(211,plain,
% 0.85/1.06 (^[S1: $i, P1: $i] : trans(monotonicity(trans(monotonicity(rewrite((iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) <=> (~((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> (~(~((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))))), rewrite((~(~((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))) <=> ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)))), ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) <=> ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))))), rewrite((icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1)) & iext(uri_owl_members, tptp_fun_Z_88(S1), S1)) <=> (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))), (((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1)) & iext(uri_owl_members, tptp_fun_Z_88(S1), S1))) <=> (((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))))), rewrite((((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil))) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1))))) <=> ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))), (((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1)) & iext(uri_owl_members, tptp_fun_Z_88(S1), S1))) <=> ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(212,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1)) & iext(uri_owl_members, tptp_fun_Z_88(S1), S1))) <=> ![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[211])).
% 0.85/1.06 tff(213,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1))) <=> ![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(214,plain,
% 0.85/1.06 (^[S1: $i, P1: $i] : rewrite(((iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1))) <=> ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(215,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1))) <=> ![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[214])).
% 0.85/1.06 tff(216,axiom,(![S1: $i, P1: $i] : ((iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil)) => ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_ndis_alldisjointproperties_fi_001')).
% 0.85/1.06 tff(217,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.85/1.06 tff(218,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | ?[Z: $i] : (icext(uri_owl_AllDisjointProperties, Z) & iext(uri_owl_members, Z, S1)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.85/1.06 tff(219,plain,(
% 0.85/1.06 ![S1: $i, P1: $i] : ((~(iext(uri_rdf_first, S1, P1) & iext(uri_rdf_rest, S1, uri_rdf_nil))) | (icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1)) & iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))),
% 0.85/1.06 inference(skolemize,[status(sab)],[218])).
% 0.85/1.06 tff(220,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[219, 212])).
% 0.85/1.06 tff(221,plain,
% 0.85/1.06 (![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[220, 210])).
% 0.85/1.06 tff(222,plain,
% 0.85/1.06 (((~![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)))))) <=> ((~![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(223,plain,
% 0.85/1.06 ((~![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))) | ((~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)))))),
% 0.85/1.06 inference(quant_inst,[status(thm)],[])).
% 0.85/1.06 tff(224,plain,
% 0.85/1.06 ((~![S1: $i, P1: $i] : ((~iext(uri_rdf_first, S1, P1)) | (~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(S1))) | (~iext(uri_owl_members, tptp_fun_Z_88(S1), S1)))))) | (~iext(uri_rdf_first, BNODE_l!140, uri_ex_w)) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)) | (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.85/1.06 tff(225,plain,
% 0.85/1.06 (~((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)))),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[224, 221, 9, 8])).
% 0.85/1.06 tff(226,plain,
% 0.85/1.06 (((~icext(uri_owl_AllDisjointProperties, tptp_fun_Z_88(BNODE_l!140))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140))) | iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)),
% 0.85/1.06 inference(tautology,[status(thm)],[])).
% 0.85/1.06 tff(227,plain,
% 0.85/1.06 (iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[226, 225])).
% 0.85/1.06 tff(228,plain,
% 0.85/1.06 (((~![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) | ((~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)) | (~((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140)))))) <=> ((~![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)) | (~((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140)))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(229,plain,
% 0.85/1.06 ((~![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) | ((~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)) | (~((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140)))))),
% 0.85/1.06 inference(quant_inst,[status(thm)],[])).
% 0.85/1.06 tff(230,plain,
% 0.85/1.06 ((~![Y: $i, Z: $i] : ((~iext(uri_owl_members, Y, Z)) | (~((~ir(Y)) | (~ir(Z)))))) | (~iext(uri_owl_members, tptp_fun_Z_88(BNODE_l!140), BNODE_l!140)) | (~((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[229, 228])).
% 0.85/1.06 tff(231,plain,
% 0.85/1.06 (~((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140)))),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[230, 227, 208])).
% 0.85/1.06 tff(232,plain,
% 0.85/1.06 (((~ir(tptp_fun_Z_88(BNODE_l!140))) | (~ir(BNODE_l!140))) | ir(BNODE_l!140)),
% 0.85/1.06 inference(tautology,[status(thm)],[])).
% 0.85/1.06 tff(233,plain,
% 0.85/1.06 (ir(BNODE_l!140)),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[232, 231])).
% 0.85/1.06 tff(234,plain,
% 0.85/1.06 (^[S: $i, P: $i, O: $i] : refl((ip(P) | (~iext(P, S, O))) <=> (ip(P) | (~iext(P, S, O))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(235,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[234])).
% 0.85/1.06 tff(236,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O))) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(237,plain,
% 0.85/1.06 (^[S: $i, P: $i, O: $i] : rewrite((iext(P, S, O) => ip(P)) <=> (ip(P) | (~iext(P, S, O))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(238,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P)) <=> ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[237])).
% 0.85/1.06 tff(239,axiom,(![S: $i, P: $i, O: $i] : (iext(P, S, O) => ip(P))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','simple_iext_property')).
% 0.85/1.06 tff(240,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.85/1.06 tff(241,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[240, 236])).
% 0.85/1.06 tff(242,plain,(
% 0.85/1.06 ![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(skolemize,[status(sab)],[241])).
% 0.85/1.06 tff(243,plain,
% 0.85/1.06 (![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[242, 235])).
% 0.85/1.06 tff(244,plain,
% 0.85/1.06 (((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_rdf_rest) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)))) <=> ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_rdf_rest) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(245,plain,
% 0.85/1.06 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | (ip(uri_rdf_rest) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)))),
% 0.85/1.06 inference(quant_inst,[status(thm)],[])).
% 0.85/1.06 tff(246,plain,
% 0.85/1.06 ((~![S: $i, P: $i, O: $i] : (ip(P) | (~iext(P, S, O)))) | ip(uri_rdf_rest) | (~iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[245, 244])).
% 0.85/1.06 tff(247,plain,
% 0.85/1.06 (ip(uri_rdf_rest)),
% 0.85/1.06 inference(unit_resolution,[status(thm)],[246, 243, 8])).
% 0.85/1.06 tff(248,plain,
% 0.85/1.06 (^[P: $i, A1: $i, A2: $i] : refl((iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))) <=> (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(249,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))) <=> ![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[248])).
% 0.85/1.06 tff(250,plain,
% 0.85/1.06 (^[P: $i, A1: $i, A2: $i] : trans(monotonicity(trans(monotonicity(rewrite((ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2))) <=> (~(iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))))), ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) <=> (~(~(iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))))))), rewrite((~(~(iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))))) <=> (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)))), ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) <=> (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))))), rewrite((iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1) & iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P) & iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)) <=> (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))), (((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | (iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1) & iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P) & iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))) <=> ((iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))))), rewrite(((iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2))) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))))) <=> (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))), (((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | (iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1) & iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P) & iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))) <=> (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(251,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | (iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1) & iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P) & iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2))) <=> ![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[250])).
% 0.85/1.06 tff(252,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2))) <=> ![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(253,plain,
% 0.85/1.06 (^[P: $i, A1: $i, A2: $i] : trans(monotonicity(trans(monotonicity(rewrite(((ir(A1) & ip(P)) & ir(A2)) <=> (ir(A1) & ip(P) & ir(A2))), ((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) <=> ((ir(A1) & ip(P) & ir(A2)) & (~iext(P, A1, A2))))), rewrite(((ir(A1) & ip(P) & ir(A2)) & (~iext(P, A1, A2))) <=> (ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))), ((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) <=> (ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2))))), quant_intro(proof_bind(^[Z: $i] : rewrite(((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2)) <=> (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))), (?[Z: $i] : ((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2)) <=> ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))), (((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) => ?[Z: $i] : ((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2))) <=> ((ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2))) => ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2))))), rewrite(((ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2))) => ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2))) <=> ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))), (((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) => ?[Z: $i] : ((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2))) <=> ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))))),
% 0.85/1.06 inference(bind,[status(th)],[])).
% 0.85/1.06 tff(254,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : ((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) => ?[Z: $i] : ((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2))) <=> ![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))),
% 0.85/1.06 inference(quant_intro,[status(thm)],[253])).
% 0.85/1.06 tff(255,axiom,(![P: $i, A1: $i, A2: $i] : ((((ir(A1) & ip(P)) & ir(A2)) & (~iext(P, A1, A2))) => ?[Z: $i] : ((iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P)) & iext(uri_owl_targetIndividual, Z, A2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_npa_object_fi')).
% 0.85/1.06 tff(256,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[255, 254])).
% 0.85/1.06 tff(257,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | ?[Z: $i] : (iext(uri_owl_sourceIndividual, Z, A1) & iext(uri_owl_assertionProperty, Z, P) & iext(uri_owl_targetIndividual, Z, A2)))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[256, 252])).
% 0.85/1.06 tff(258,plain,(
% 0.85/1.06 ![P: $i, A1: $i, A2: $i] : ((~(ir(A1) & ip(P) & ir(A2) & (~iext(P, A1, A2)))) | (iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1) & iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P) & iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))),
% 0.85/1.06 inference(skolemize,[status(sab)],[257])).
% 0.85/1.06 tff(259,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[258, 251])).
% 0.85/1.06 tff(260,plain,
% 0.85/1.06 (![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))),
% 0.85/1.06 inference(modus_ponens,[status(thm)],[259, 249])).
% 0.85/1.06 tff(261,plain,
% 0.85/1.06 (((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | ((~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))) <=> ((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(262,plain,
% 0.85/1.06 ((iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))) <=> ((~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(263,plain,
% 0.85/1.06 ((~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))) <=> (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))),
% 0.85/1.06 inference(rewrite,[status(thm)],[])).
% 0.85/1.06 tff(264,plain,
% 0.85/1.06 ((iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))) <=> (iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.06 inference(monotonicity,[status(thm)],[263])).
% 0.85/1.06 tff(265,plain,
% 0.85/1.06 ((iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))) <=> ((~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.07 inference(transitivity,[status(thm)],[264, 262])).
% 0.85/1.07 tff(266,plain,
% 0.85/1.07 (((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))) <=> ((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | ((~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))))),
% 0.85/1.07 inference(monotonicity,[status(thm)],[265])).
% 0.85/1.07 tff(267,plain,
% 0.85/1.07 (((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))) <=> ((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.07 inference(transitivity,[status(thm)],[266, 261])).
% 0.85/1.07 tff(268,plain,
% 0.85/1.07 ((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | (~ir(BNODE_l!140)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))))),
% 0.85/1.07 inference(quant_inst,[status(thm)],[])).
% 0.85/1.07 tff(269,plain,
% 0.85/1.07 ((~![P: $i, A1: $i, A2: $i] : (iext(P, A1, A2) | (~ip(P)) | (~ir(A1)) | (~ir(A2)) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(A2, A1, P), A1)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(A2, A1, P), P)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(A2, A1, P), A2)))))) | (~ip(uri_rdf_rest)) | (~ir(BNODE_l!140)) | iext(uri_rdf_rest, BNODE_l!140, BNODE_l!140) | (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.85/1.07 tff(270,plain,
% 0.85/1.07 (~((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)))),
% 0.85/1.07 inference(unit_resolution,[status(thm)],[269, 260, 247, 233, 185])).
% 0.85/1.07 tff(271,plain,
% 0.85/1.07 (((~iext(uri_owl_sourceIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~iext(uri_owl_assertionProperty, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), uri_rdf_rest)) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140))) | iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)),
% 0.85/1.07 inference(tautology,[status(thm)],[])).
% 0.85/1.07 tff(272,plain,
% 0.85/1.07 (iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)),
% 0.85/1.07 inference(unit_resolution,[status(thm)],[271, 270])).
% 0.85/1.07 tff(273,plain,
% 0.85/1.07 (^[X: $i, Y: $i] : refl(((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X))))) <=> ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X))))))),
% 0.85/1.07 inference(bind,[status(th)],[])).
% 0.85/1.07 tff(274,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X))))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))),
% 0.85/1.07 inference(quant_intro,[status(thm)],[273])).
% 0.85/1.07 tff(275,plain,
% 0.85/1.07 (^[X: $i, Y: $i] : rewrite(((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))) <=> ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X))))))),
% 0.85/1.07 inference(bind,[status(th)],[])).
% 0.85/1.07 tff(276,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))),
% 0.85/1.07 inference(quant_intro,[status(thm)],[275])).
% 0.85/1.07 tff(277,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))),
% 0.85/1.07 inference(rewrite,[status(thm)],[])).
% 0.85/1.07 tff(278,plain,
% 0.85/1.07 (^[X: $i, Y: $i] : rewrite((iext(uri_owl_targetIndividual, X, Y) => (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))) <=> ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))))),
% 0.85/1.07 inference(bind,[status(th)],[])).
% 0.85/1.07 tff(279,plain,
% 0.85/1.07 (![X: $i, Y: $i] : (iext(uri_owl_targetIndividual, X, Y) => (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y))) <=> ![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))),
% 0.85/1.07 inference(quant_intro,[status(thm)],[278])).
% 0.85/1.07 tff(280,axiom,(![X: $i, Y: $i] : (iext(uri_owl_targetIndividual, X, Y) => (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_prop_targetindividual_ext')).
% 0.85/1.07 tff(281,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[280, 279])).
% 0.85/1.07 tff(282,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[281, 277])).
% 0.85/1.07 tff(283,plain,(
% 0.85/1.07 ![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (icext(uri_owl_NegativePropertyAssertion, X) & ir(Y)))),
% 0.85/1.07 inference(skolemize,[status(sab)],[282])).
% 0.85/1.07 tff(284,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[283, 276])).
% 0.85/1.07 tff(285,plain,
% 0.85/1.07 (![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[284, 274])).
% 0.85/1.07 tff(286,plain,
% 0.85/1.07 (((~![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))) | ((~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))))))) <=> ((~![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))))))),
% 0.85/1.07 inference(rewrite,[status(thm)],[])).
% 0.85/1.07 tff(287,plain,
% 0.85/1.07 ((~![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))) | ((~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))))))),
% 0.85/1.07 inference(quant_inst,[status(thm)],[])).
% 0.85/1.07 tff(288,plain,
% 0.85/1.07 ((~![X: $i, Y: $i] : ((~iext(uri_owl_targetIndividual, X, Y)) | (~((~ir(Y)) | (~icext(uri_owl_NegativePropertyAssertion, X)))))) | (~iext(uri_owl_targetIndividual, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest), BNODE_l!140)) | (~((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest)))))),
% 0.85/1.07 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.85/1.07 tff(289,plain,
% 0.85/1.07 (~((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))))),
% 0.85/1.07 inference(unit_resolution,[status(thm)],[288, 285, 272])).
% 0.85/1.07 tff(290,plain,
% 0.85/1.07 (((~ir(BNODE_l!140)) | (~icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest)))) | icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.85/1.07 inference(tautology,[status(thm)],[])).
% 0.85/1.07 tff(291,plain,
% 0.85/1.07 (icext(uri_owl_NegativePropertyAssertion, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.85/1.07 inference(unit_resolution,[status(thm)],[290, 289])).
% 0.85/1.07 tff(292,plain,
% 0.85/1.07 (icext(uri_owl_Nothing, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[291, 140])).
% 0.92/1.09 tff(293,plain,
% 0.92/1.09 (^[X: $i] : refl((~icext(uri_owl_Nothing, X)) <=> (~icext(uri_owl_Nothing, X)))),
% 0.92/1.09 inference(bind,[status(th)],[])).
% 0.92/1.09 tff(294,plain,
% 0.92/1.09 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.92/1.09 inference(quant_intro,[status(thm)],[293])).
% 0.92/1.09 tff(295,plain,
% 0.92/1.09 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.92/1.09 inference(rewrite,[status(thm)],[])).
% 0.92/1.09 tff(296,axiom,(![X: $i] : (~icext(uri_owl_Nothing, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax','owl_class_nothing_ext')).
% 0.92/1.09 tff(297,plain,
% 0.92/1.09 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.92/1.09 tff(298,plain,(
% 0.92/1.09 ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.92/1.09 inference(skolemize,[status(sab)],[297])).
% 0.92/1.09 tff(299,plain,
% 0.92/1.09 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.92/1.09 inference(modus_ponens,[status(thm)],[298, 294])).
% 0.92/1.09 tff(300,plain,
% 0.92/1.09 ((~![X: $i] : (~icext(uri_owl_Nothing, X))) | (~icext(uri_owl_Nothing, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest)))),
% 0.92/1.09 inference(quant_inst,[status(thm)],[])).
% 0.92/1.09 tff(301,plain,
% 0.92/1.09 (~icext(uri_owl_Nothing, tptp_fun_Z_139(BNODE_l!140, BNODE_l!140, uri_rdf_rest))),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[300, 299])).
% 0.92/1.09 tff(302,plain,
% 0.92/1.09 ($false),
% 0.92/1.09 inference(unit_resolution,[status(thm)],[301, 292])).
% 0.92/1.09 % SZS output end Proof
% 0.92/1.09 % E exiting
%------------------------------------------------------------------------------