TSTP Solution File: SWB031+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB031+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:32:02 EDT 2022
% Result : Unsatisfiable 1.08s 0.98s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB031+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 20:00:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 1.08/0.98 % SZS status Unsatisfiable
% 1.08/0.98 % SZS output start Proof
% 1.08/0.98 tff(icext_type, type, (
% 1.08/0.98 icext: ( $i * $i ) > $o)).
% 1.08/0.98 tff(uri_rdfs_Literal_type, type, (
% 1.08/0.98 uri_rdfs_Literal: $i)).
% 1.08/0.98 tff(uri_owl_Nothing_type, type, (
% 1.08/0.98 uri_owl_Nothing: $i)).
% 1.08/0.98 tff(uri_owl_AsymmetricProperty_type, type, (
% 1.08/0.98 uri_owl_AsymmetricProperty: $i)).
% 1.08/0.98 tff(uri_ex_w_type, type, (
% 1.08/0.98 uri_ex_w: $i)).
% 1.08/0.98 tff(tptp_fun_BNODE_x_141_type, type, (
% 1.08/0.98 tptp_fun_BNODE_x_141: $i)).
% 1.08/0.98 tff(ic_type, type, (
% 1.08/0.98 ic: $i > $o)).
% 1.08/0.98 tff(iext_type, type, (
% 1.08/0.98 iext: ( $i * $i * $i ) > $o)).
% 1.08/0.98 tff(tptp_fun_BNODE_l_140_type, type, (
% 1.08/0.98 tptp_fun_BNODE_l_140: $i)).
% 1.08/0.98 tff(uri_owl_oneOf_type, type, (
% 1.08/0.98 uri_owl_oneOf: $i)).
% 1.08/0.98 tff(tptp_fun_X_8_type, type, (
% 1.08/0.98 tptp_fun_X_8: ( $i * $i ) > $i)).
% 1.08/0.98 tff(uri_rdf_nil_type, type, (
% 1.08/0.98 uri_rdf_nil: $i)).
% 1.08/0.98 tff(uri_rdf_rest_type, type, (
% 1.08/0.98 uri_rdf_rest: $i)).
% 1.08/0.98 tff(uri_rdf_first_type, type, (
% 1.08/0.98 uri_rdf_first: $i)).
% 1.08/0.98 tff(uri_owl_Thing_type, type, (
% 1.08/0.98 uri_owl_Thing: $i)).
% 1.08/0.98 tff(uri_owl_equivalentClass_type, type, (
% 1.08/0.98 uri_owl_equivalentClass: $i)).
% 1.08/0.98 tff(tptp_fun_X_67_type, type, (
% 1.08/0.98 tptp_fun_X_67: ( $i * $i ) > $i)).
% 1.08/0.98 tff(ir_type, type, (
% 1.08/0.98 ir: $i > $o)).
% 1.08/0.98 tff(uri_owl_Class_type, type, (
% 1.08/0.98 uri_owl_Class: $i)).
% 1.08/0.98 tff(idc_type, type, (
% 1.08/0.98 idc: $i > $o)).
% 1.08/0.98 tff(1,plain,
% 1.08/0.98 (?[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))),
% 1.08/0.98 inference(rewrite,[status(thm)],[])).
% 1.08/0.98 tff(2,plain,
% 1.08/0.98 (^[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))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(3,plain,
% 1.08/0.98 (?[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))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[2])).
% 1.08/0.98 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/sandbox/benchmark/theBenchmark.p','testcase_premise_fullish_031_Large_Universe')).
% 1.08/0.98 tff(5,plain,
% 1.08/0.98 (?[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))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[4, 3])).
% 1.08/0.98 tff(6,plain,
% 1.08/0.98 (?[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))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[5, 1])).
% 1.08/0.98 tff(7,plain,(
% 1.08/0.98 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)),
% 1.08/0.98 inference(skolemize,[status(sab)],[6])).
% 1.08/0.98 tff(8,plain,
% 1.08/0.98 (iext(uri_rdf_rest, BNODE_l!140, uri_rdf_nil)),
% 1.08/0.98 inference(and_elim,[status(thm)],[7])).
% 1.08/0.98 tff(9,plain,
% 1.08/0.98 (iext(uri_rdf_first, BNODE_l!140, uri_ex_w)),
% 1.08/0.98 inference(and_elim,[status(thm)],[7])).
% 1.08/0.98 tff(10,plain,
% 1.08/0.98 (^[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)))))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(11,plain,
% 1.08/0.98 (![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))))))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[10])).
% 1.08/0.98 tff(12,plain,
% 1.08/0.98 (^[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))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(13,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[12])).
% 1.08/0.98 tff(14,plain,
% 1.08/0.98 (^[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))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(15,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[14])).
% 1.08/0.98 tff(16,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(transitivity,[status(thm)],[15, 13])).
% 1.08/0.98 tff(17,plain,
% 1.08/0.98 (^[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))))))), 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) & ![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)))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(18,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[17])).
% 1.08/0.98 tff(19,plain,
% 1.08/0.98 (^[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))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(20,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[19])).
% 1.08/0.98 tff(21,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(rewrite,[status(thm)],[])).
% 1.08/0.98 tff(22,plain,
% 1.08/0.98 (^[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)))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(23,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[22])).
% 1.08/0.98 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/sandbox/benchmark/Axioms/SWB001+0.ax','owl_enum_class_001')).
% 1.08/0.98 tff(25,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[24, 23])).
% 1.08/0.98 tff(26,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[25, 21])).
% 1.08/0.98 tff(27,plain,(
% 1.08/0.98 ![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)))))))),
% 1.08/0.98 inference(skolemize,[status(sab)],[26])).
% 1.08/0.98 tff(28,plain,
% 1.08/0.98 (![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)))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[27, 20])).
% 1.08/0.98 tff(29,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[28, 18])).
% 1.08/0.98 tff(30,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[29, 16])).
% 1.08/0.98 tff(31,plain,
% 1.08/0.98 (![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))))))))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[30, 11])).
% 1.08/0.98 tff(32,plain,
% 1.08/0.98 (((~![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))))))))))),
% 1.08/0.98 inference(rewrite,[status(thm)],[])).
% 1.08/0.98 tff(33,plain,
% 1.08/0.98 ((~![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))))))))))),
% 1.08/0.98 inference(quant_inst,[status(thm)],[])).
% 1.08/0.98 tff(34,plain,
% 1.08/0.98 ((~![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)))))))))),
% 1.08/0.98 inference(modus_ponens,[status(thm)],[33, 32])).
% 1.08/0.98 tff(35,plain,
% 1.08/0.98 (~((~(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))))))))),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 1.08/0.98 tff(36,plain,
% 1.08/0.98 (((~(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))))))),
% 1.08/0.98 inference(tautology,[status(thm)],[])).
% 1.08/0.98 tff(37,plain,
% 1.08/0.98 ((~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)))))),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[36, 35])).
% 1.08/0.98 tff(38,plain,
% 1.08/0.98 (iext(uri_owl_oneOf, BNODE_x!141, BNODE_l!140)),
% 1.08/0.98 inference(and_elim,[status(thm)],[7])).
% 1.08/0.98 tff(39,plain,
% 1.08/0.98 ((~((~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)))))),
% 1.08/0.98 inference(tautology,[status(thm)],[])).
% 1.08/0.98 tff(40,plain,
% 1.08/0.98 ((~((~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)))))),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[39, 38])).
% 1.08/0.98 tff(41,plain,
% 1.08/0.98 (~((~ic(BNODE_x!141)) | (~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))))),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[40, 37])).
% 1.08/0.98 tff(42,plain,
% 1.08/0.98 (((~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))),
% 1.08/0.98 inference(tautology,[status(thm)],[])).
% 1.08/0.98 tff(43,plain,
% 1.08/0.98 (![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[42, 41])).
% 1.08/0.98 tff(44,plain,
% 1.08/0.98 ((~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!141, uri_owl_AsymmetricProperty) <=> (uri_owl_AsymmetricProperty = uri_ex_w))),
% 1.08/0.98 inference(quant_inst,[status(thm)],[])).
% 1.08/0.98 tff(45,plain,
% 1.08/0.98 (icext(BNODE_x!141, uri_owl_AsymmetricProperty) <=> (uri_owl_AsymmetricProperty = uri_ex_w)),
% 1.08/0.98 inference(unit_resolution,[status(thm)],[44, 43])).
% 1.08/0.98 tff(46,plain,
% 1.08/0.98 (^[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))))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(47,plain,
% 1.08/0.98 (![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)))))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[46])).
% 1.08/0.98 tff(48,plain,
% 1.08/0.98 (^[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))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(49,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[48])).
% 1.08/0.98 tff(50,plain,
% 1.08/0.98 (^[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))))))))),
% 1.08/0.98 inference(bind,[status(th)],[])).
% 1.08/0.98 tff(51,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(quant_intro,[status(thm)],[50])).
% 1.08/0.98 tff(52,plain,
% 1.08/0.98 (![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)))))))),
% 1.08/0.98 inference(transitivity,[status(thm)],[51, 49])).
% 1.08/0.98 tff(53,plain,
% 1.08/0.98 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))))), rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C2)) | (~ic(C1)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C2)) | (~ic(C1)) | ((~icext(C1, tptp_fun_X_67(C2, C1))) <=> icext(C2, tptp_fun_X_67(C2, C1)))))))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(54,plain,
% 1.08/0.99 (![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)))))))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[53])).
% 1.08/0.99 tff(55,plain,
% 1.08/0.99 (^[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))))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(56,plain,
% 1.08/0.99 (![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)))))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[55])).
% 1.08/0.99 tff(57,plain,
% 1.08/0.99 (![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))))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(58,plain,
% 1.08/0.99 (^[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)))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(59,plain,
% 1.08/0.99 (![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))))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[58])).
% 1.08/0.99 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/sandbox/benchmark/Axioms/SWB001+0.ax','owl_eqdis_equivalentclass')).
% 1.08/0.99 tff(61,plain,
% 1.08/0.99 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[60, 59])).
% 1.08/0.99 tff(62,plain,
% 1.08/0.99 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[61, 57])).
% 1.08/0.99 tff(63,plain,(
% 1.08/0.99 ![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)))))))),
% 1.08/0.99 inference(skolemize,[status(sab)],[62])).
% 1.08/0.99 tff(64,plain,
% 1.08/0.99 (![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)))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[63, 56])).
% 1.08/0.99 tff(65,plain,
% 1.08/0.99 (![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)))))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[64, 54])).
% 1.08/0.99 tff(66,plain,
% 1.08/0.99 (![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)))))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[65, 52])).
% 1.08/0.99 tff(67,plain,
% 1.08/0.99 (![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)))))))))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[66, 47])).
% 1.08/0.99 tff(68,plain,
% 1.08/0.99 ((~![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)))))))))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(69,plain,
% 1.08/0.99 (~((~(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))))))))),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[68, 67])).
% 1.08/0.99 tff(70,plain,
% 1.08/0.99 (((~(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))))))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(71,plain,
% 1.08/0.99 ((~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)))))),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[70, 69])).
% 1.08/0.99 tff(72,plain,
% 1.08/0.99 (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!141)),
% 1.08/0.99 inference(and_elim,[status(thm)],[7])).
% 1.08/0.99 tff(73,plain,
% 1.08/0.99 ((~((~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)))))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(74,plain,
% 1.08/0.99 ((~((~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)))))),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[73, 72])).
% 1.08/0.99 tff(75,plain,
% 1.08/0.99 (~((~ic(BNODE_x!141)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))))),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[74, 71])).
% 1.08/0.99 tff(76,plain,
% 1.08/0.99 (((~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))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(77,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[76, 75])).
% 1.08/0.99 tff(78,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))) | (icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> icext(BNODE_x!141, uri_owl_AsymmetricProperty))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(79,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> icext(BNODE_x!141, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[78, 77])).
% 1.08/0.99 tff(80,plain,
% 1.08/0.99 (^[X: $i] : refl((icext(uri_owl_Thing, X) <=> ir(X)) <=> (icext(uri_owl_Thing, X) <=> ir(X)))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(81,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[80])).
% 1.08/0.99 tff(82,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(83,axiom,(![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_thing_ext')).
% 1.08/0.99 tff(84,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[83, 82])).
% 1.08/0.99 tff(85,plain,(
% 1.08/0.99 ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 1.08/0.99 inference(skolemize,[status(sab)],[84])).
% 1.08/0.99 tff(86,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[85, 81])).
% 1.08/0.99 tff(87,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> ir(uri_owl_AsymmetricProperty))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(88,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> ir(uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[87, 86])).
% 1.08/0.99 tff(89,plain,
% 1.08/0.99 (ic(uri_owl_AsymmetricProperty) <=> ic(uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(90,axiom,(ic(uri_owl_AsymmetricProperty)), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_asymmetricproperty_type')).
% 1.08/0.99 tff(91,plain,
% 1.08/0.99 (ic(uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[90, 89])).
% 1.08/0.99 tff(92,plain,
% 1.08/0.99 (^[X: $i] : refl((ir(X) | (~ic(X))) <=> (ir(X) | (~ic(X))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(93,plain,
% 1.08/0.99 (![X: $i] : (ir(X) | (~ic(X))) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[92])).
% 1.08/0.99 tff(94,plain,
% 1.08/0.99 (![X: $i] : (ir(X) | (~ic(X))) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(95,plain,
% 1.08/0.99 (^[X: $i] : rewrite((ic(X) => ir(X)) <=> (ir(X) | (~ic(X))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(96,plain,
% 1.08/0.99 (![X: $i] : (ic(X) => ir(X)) <=> ![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[95])).
% 1.08/0.99 tff(97,axiom,(![X: $i] : (ic(X) => ir(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_parts_ic_cond_set')).
% 1.08/0.99 tff(98,plain,
% 1.08/0.99 (![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[97, 96])).
% 1.08/0.99 tff(99,plain,
% 1.08/0.99 (![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[98, 94])).
% 1.08/0.99 tff(100,plain,(
% 1.08/0.99 ![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(skolemize,[status(sab)],[99])).
% 1.08/0.99 tff(101,plain,
% 1.08/0.99 (![X: $i] : (ir(X) | (~ic(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[100, 93])).
% 1.08/0.99 tff(102,plain,
% 1.08/0.99 (((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_AsymmetricProperty) | (~ic(uri_owl_AsymmetricProperty)))) <=> ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_AsymmetricProperty) | (~ic(uri_owl_AsymmetricProperty)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(103,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_AsymmetricProperty) | (~ic(uri_owl_AsymmetricProperty)))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(104,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_AsymmetricProperty) | (~ic(uri_owl_AsymmetricProperty))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[103, 102])).
% 1.08/0.99 tff(105,plain,
% 1.08/0.99 (ir(uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[104, 101, 91])).
% 1.08/0.99 tff(106,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> ir(uri_owl_AsymmetricProperty))) | icext(uri_owl_Thing, uri_owl_AsymmetricProperty) | (~ir(uri_owl_AsymmetricProperty))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(107,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> ir(uri_owl_AsymmetricProperty))) | icext(uri_owl_Thing, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[106, 105])).
% 1.08/0.99 tff(108,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[107, 88])).
% 1.08/0.99 tff(109,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> icext(BNODE_x!141, uri_owl_AsymmetricProperty))) | (~icext(uri_owl_Thing, uri_owl_AsymmetricProperty)) | icext(BNODE_x!141, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(110,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_AsymmetricProperty) <=> icext(BNODE_x!141, uri_owl_AsymmetricProperty))) | icext(BNODE_x!141, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[109, 108])).
% 1.08/0.99 tff(111,plain,
% 1.08/0.99 (icext(BNODE_x!141, uri_owl_AsymmetricProperty)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[110, 79])).
% 1.08/0.99 tff(112,plain,
% 1.08/0.99 ((~(icext(BNODE_x!141, uri_owl_AsymmetricProperty) <=> (uri_owl_AsymmetricProperty = uri_ex_w))) | (~icext(BNODE_x!141, uri_owl_AsymmetricProperty)) | (uri_owl_AsymmetricProperty = uri_ex_w)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(113,plain,
% 1.08/0.99 ((~(icext(BNODE_x!141, uri_owl_AsymmetricProperty) <=> (uri_owl_AsymmetricProperty = uri_ex_w))) | (uri_owl_AsymmetricProperty = uri_ex_w)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[112, 111])).
% 1.08/0.99 tff(114,plain,
% 1.08/0.99 (uri_owl_AsymmetricProperty = uri_ex_w),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[113, 45])).
% 1.08/0.99 tff(115,plain,
% 1.08/0.99 (uri_ex_w = uri_owl_AsymmetricProperty),
% 1.08/0.99 inference(symmetry,[status(thm)],[114])).
% 1.08/0.99 tff(116,plain,
% 1.08/0.99 ((~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(117,plain,
% 1.08/0.99 (icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[116, 43])).
% 1.08/0.99 tff(118,plain,
% 1.08/0.99 ((~![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))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(119,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[118, 77])).
% 1.08/0.99 tff(120,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(121,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[120, 86])).
% 1.08/0.99 tff(122,plain,
% 1.08/0.99 (ic(uri_owl_Nothing) <=> ic(uri_owl_Nothing)),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(123,axiom,(ic(uri_owl_Nothing)), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_nothing_type')).
% 1.08/0.99 tff(124,plain,
% 1.08/0.99 (ic(uri_owl_Nothing)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[123, 122])).
% 1.08/0.99 tff(125,plain,
% 1.08/0.99 (((~![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)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(126,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing)))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(127,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_Nothing) | (~ic(uri_owl_Nothing))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[126, 125])).
% 1.08/0.99 tff(128,plain,
% 1.08/0.99 (ir(uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[127, 101, 124])).
% 1.08/0.99 tff(129,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing) | (~ir(uri_owl_Nothing))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(130,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[129, 128])).
% 1.08/0.99 tff(131,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[130, 121])).
% 1.08/0.99 tff(132,plain,
% 1.08/0.99 ((~(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)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(133,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> icext(BNODE_x!141, uri_owl_Nothing))) | icext(BNODE_x!141, uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[132, 131])).
% 1.08/0.99 tff(134,plain,
% 1.08/0.99 (icext(BNODE_x!141, uri_owl_Nothing)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[133, 119])).
% 1.08/0.99 tff(135,plain,
% 1.08/0.99 ((~(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)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(136,plain,
% 1.08/0.99 ((~(icext(BNODE_x!141, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))) | (uri_owl_Nothing = uri_ex_w)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[135, 134])).
% 1.08/0.99 tff(137,plain,
% 1.08/0.99 (uri_owl_Nothing = uri_ex_w),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[136, 117])).
% 1.08/0.99 tff(138,plain,
% 1.08/0.99 (uri_owl_Nothing = uri_owl_AsymmetricProperty),
% 1.08/0.99 inference(transitivity,[status(thm)],[137, 115])).
% 1.08/0.99 tff(139,plain,
% 1.08/0.99 (icext(uri_owl_Nothing, uri_rdfs_Literal) <=> icext(uri_owl_AsymmetricProperty, uri_rdfs_Literal)),
% 1.08/0.99 inference(monotonicity,[status(thm)],[138])).
% 1.08/0.99 tff(140,plain,
% 1.08/0.99 (icext(uri_owl_AsymmetricProperty, uri_rdfs_Literal) <=> icext(uri_owl_Nothing, uri_rdfs_Literal)),
% 1.08/0.99 inference(symmetry,[status(thm)],[139])).
% 1.08/0.99 tff(141,plain,
% 1.08/0.99 ((~![X: $i] : (icext(BNODE_x!141, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!141, uri_owl_Class) <=> (uri_owl_Class = uri_ex_w))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(142,plain,
% 1.08/0.99 (icext(BNODE_x!141, uri_owl_Class) <=> (uri_owl_Class = uri_ex_w)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[141, 43])).
% 1.08/0.99 tff(143,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!141, X))) | (icext(uri_owl_Thing, uri_owl_Class) <=> icext(BNODE_x!141, uri_owl_Class))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(144,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Class) <=> icext(BNODE_x!141, uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[143, 77])).
% 1.08/0.99 tff(145,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(146,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[145, 86])).
% 1.08/0.99 tff(147,plain,
% 1.08/0.99 (ic(uri_owl_Class) <=> ic(uri_owl_Class)),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(148,axiom,(ic(uri_owl_Class)), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_classowl_type')).
% 1.08/0.99 tff(149,plain,
% 1.08/0.99 (ic(uri_owl_Class)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[148, 147])).
% 1.08/0.99 tff(150,plain,
% 1.08/0.99 (((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_Class) | (~ic(uri_owl_Class)))) <=> ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_Class) | (~ic(uri_owl_Class)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(151,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | (ir(uri_owl_Class) | (~ic(uri_owl_Class)))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(152,plain,
% 1.08/0.99 ((~![X: $i] : (ir(X) | (~ic(X)))) | ir(uri_owl_Class) | (~ic(uri_owl_Class))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[151, 150])).
% 1.08/0.99 tff(153,plain,
% 1.08/0.99 (ir(uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[152, 101, 149])).
% 1.08/0.99 tff(154,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))) | icext(uri_owl_Thing, uri_owl_Class) | (~ir(uri_owl_Class))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(155,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> ir(uri_owl_Class))) | icext(uri_owl_Thing, uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[154, 153])).
% 1.08/0.99 tff(156,plain,
% 1.08/0.99 (icext(uri_owl_Thing, uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[155, 146])).
% 1.08/0.99 tff(157,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> icext(BNODE_x!141, uri_owl_Class))) | (~icext(uri_owl_Thing, uri_owl_Class)) | icext(BNODE_x!141, uri_owl_Class)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(158,plain,
% 1.08/0.99 ((~(icext(uri_owl_Thing, uri_owl_Class) <=> icext(BNODE_x!141, uri_owl_Class))) | icext(BNODE_x!141, uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[157, 156])).
% 1.08/0.99 tff(159,plain,
% 1.08/0.99 (icext(BNODE_x!141, uri_owl_Class)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[158, 144])).
% 1.08/0.99 tff(160,plain,
% 1.08/0.99 ((~(icext(BNODE_x!141, uri_owl_Class) <=> (uri_owl_Class = uri_ex_w))) | (~icext(BNODE_x!141, uri_owl_Class)) | (uri_owl_Class = uri_ex_w)),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(161,plain,
% 1.08/0.99 ((~(icext(BNODE_x!141, uri_owl_Class) <=> (uri_owl_Class = uri_ex_w))) | (uri_owl_Class = uri_ex_w)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[160, 159])).
% 1.08/0.99 tff(162,plain,
% 1.08/0.99 (uri_owl_Class = uri_ex_w),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[161, 142])).
% 1.08/0.99 tff(163,plain,
% 1.08/0.99 (uri_owl_Class = uri_owl_AsymmetricProperty),
% 1.08/0.99 inference(transitivity,[status(thm)],[162, 115])).
% 1.08/0.99 tff(164,plain,
% 1.08/0.99 (icext(uri_owl_Class, uri_rdfs_Literal) <=> icext(uri_owl_AsymmetricProperty, uri_rdfs_Literal)),
% 1.08/0.99 inference(monotonicity,[status(thm)],[163])).
% 1.08/0.99 tff(165,plain,
% 1.08/0.99 (^[X: $i] : refl((icext(uri_owl_Class, X) <=> ic(X)) <=> (icext(uri_owl_Class, X) <=> ic(X)))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(166,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[165])).
% 1.08/0.99 tff(167,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X)) <=> ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(168,axiom,(![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_classowl_ext')).
% 1.08/0.99 tff(169,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[168, 167])).
% 1.08/0.99 tff(170,plain,(
% 1.08/0.99 ![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 1.08/0.99 inference(skolemize,[status(sab)],[169])).
% 1.08/0.99 tff(171,plain,
% 1.08/0.99 (![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[170, 166])).
% 1.08/0.99 tff(172,plain,
% 1.08/0.99 ((~![X: $i] : (icext(uri_owl_Class, X) <=> ic(X))) | (icext(uri_owl_Class, uri_rdfs_Literal) <=> ic(uri_rdfs_Literal))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(173,plain,
% 1.08/0.99 (icext(uri_owl_Class, uri_rdfs_Literal) <=> ic(uri_rdfs_Literal)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[172, 171])).
% 1.08/0.99 tff(174,plain,
% 1.08/0.99 (idc(uri_rdfs_Literal) <=> idc(uri_rdfs_Literal)),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(175,axiom,(idc(uri_rdfs_Literal)), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_literal_type')).
% 1.08/0.99 tff(176,plain,
% 1.08/0.99 (idc(uri_rdfs_Literal)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[175, 174])).
% 1.08/0.99 tff(177,plain,
% 1.08/0.99 (^[X: $i] : refl((ic(X) | (~idc(X))) <=> (ic(X) | (~idc(X))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(178,plain,
% 1.08/0.99 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[177])).
% 1.08/0.99 tff(179,plain,
% 1.08/0.99 (![X: $i] : (ic(X) | (~idc(X))) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(180,plain,
% 1.08/0.99 (^[X: $i] : rewrite((idc(X) => ic(X)) <=> (ic(X) | (~idc(X))))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(181,plain,
% 1.08/0.99 (![X: $i] : (idc(X) => ic(X)) <=> ![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[180])).
% 1.08/0.99 tff(182,axiom,(![X: $i] : (idc(X) => ic(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_parts_idc_cond_set')).
% 1.08/0.99 tff(183,plain,
% 1.08/0.99 (![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[182, 181])).
% 1.08/0.99 tff(184,plain,
% 1.08/0.99 (![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[183, 179])).
% 1.08/0.99 tff(185,plain,(
% 1.08/0.99 ![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(skolemize,[status(sab)],[184])).
% 1.08/0.99 tff(186,plain,
% 1.08/0.99 (![X: $i] : (ic(X) | (~idc(X)))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[185, 178])).
% 1.08/0.99 tff(187,plain,
% 1.08/0.99 (((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_rdfs_Literal) | (~idc(uri_rdfs_Literal)))) <=> ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_rdfs_Literal) | (~idc(uri_rdfs_Literal)))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(188,plain,
% 1.08/0.99 ((~![X: $i] : (ic(X) | (~idc(X)))) | (ic(uri_rdfs_Literal) | (~idc(uri_rdfs_Literal)))),
% 1.08/0.99 inference(quant_inst,[status(thm)],[])).
% 1.08/0.99 tff(189,plain,
% 1.08/0.99 ((~![X: $i] : (ic(X) | (~idc(X)))) | ic(uri_rdfs_Literal) | (~idc(uri_rdfs_Literal))),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[188, 187])).
% 1.08/0.99 tff(190,plain,
% 1.08/0.99 (ic(uri_rdfs_Literal)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[189, 186, 176])).
% 1.08/0.99 tff(191,plain,
% 1.08/0.99 ((~(icext(uri_owl_Class, uri_rdfs_Literal) <=> ic(uri_rdfs_Literal))) | icext(uri_owl_Class, uri_rdfs_Literal) | (~ic(uri_rdfs_Literal))),
% 1.08/0.99 inference(tautology,[status(thm)],[])).
% 1.08/0.99 tff(192,plain,
% 1.08/0.99 ((~(icext(uri_owl_Class, uri_rdfs_Literal) <=> ic(uri_rdfs_Literal))) | icext(uri_owl_Class, uri_rdfs_Literal)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[191, 190])).
% 1.08/0.99 tff(193,plain,
% 1.08/0.99 (icext(uri_owl_Class, uri_rdfs_Literal)),
% 1.08/0.99 inference(unit_resolution,[status(thm)],[192, 173])).
% 1.08/0.99 tff(194,plain,
% 1.08/0.99 (icext(uri_owl_AsymmetricProperty, uri_rdfs_Literal)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[193, 164])).
% 1.08/0.99 tff(195,plain,
% 1.08/0.99 (icext(uri_owl_Nothing, uri_rdfs_Literal)),
% 1.08/0.99 inference(modus_ponens,[status(thm)],[194, 140])).
% 1.08/0.99 tff(196,plain,
% 1.08/0.99 (^[X: $i] : refl((~icext(uri_owl_Nothing, X)) <=> (~icext(uri_owl_Nothing, X)))),
% 1.08/0.99 inference(bind,[status(th)],[])).
% 1.08/0.99 tff(197,plain,
% 1.08/0.99 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 1.08/0.99 inference(quant_intro,[status(thm)],[196])).
% 1.08/0.99 tff(198,plain,
% 1.08/0.99 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 1.08/0.99 inference(rewrite,[status(thm)],[])).
% 1.08/0.99 tff(199,axiom,(![X: $i] : (~icext(uri_owl_Nothing, X))), file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax','owl_class_nothing_ext')).
% 1.08/1.01 tff(200,plain,
% 1.08/1.01 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[199, 198])).
% 1.08/1.01 tff(201,plain,(
% 1.08/1.01 ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 1.08/1.01 inference(skolemize,[status(sab)],[200])).
% 1.08/1.01 tff(202,plain,
% 1.08/1.01 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[201, 197])).
% 1.08/1.01 tff(203,plain,
% 1.08/1.01 ((~![X: $i] : (~icext(uri_owl_Nothing, X))) | (~icext(uri_owl_Nothing, uri_rdfs_Literal))),
% 1.08/1.01 inference(quant_inst,[status(thm)],[])).
% 1.08/1.01 tff(204,plain,
% 1.08/1.01 (~icext(uri_owl_Nothing, uri_rdfs_Literal)),
% 1.08/1.01 inference(unit_resolution,[status(thm)],[203, 202])).
% 1.08/1.01 tff(205,plain,
% 1.08/1.01 ($false),
% 1.08/1.01 inference(unit_resolution,[status(thm)],[204, 195])).
% 1.08/1.01 % SZS output end Proof
%------------------------------------------------------------------------------