TSTP Solution File: SWB031+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n010.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 0.20s 0.44s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 19:48:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.44 % SZS status Unsatisfiable
% 0.20/0.44 % SZS output start Proof
% 0.20/0.44 tff(icext_type, type, (
% 0.20/0.44 icext: ( $i * $i ) > $o)).
% 0.20/0.44 tff(uri_ex_w_type, type, (
% 0.20/0.44 uri_ex_w: $i)).
% 0.20/0.44 tff(uri_owl_Nothing_type, type, (
% 0.20/0.44 uri_owl_Nothing: $i)).
% 0.20/0.44 tff(uri_owl_Thing_type, type, (
% 0.20/0.44 uri_owl_Thing: $i)).
% 0.20/0.44 tff(tptp_fun_BNODE_x_3_type, type, (
% 0.20/0.44 tptp_fun_BNODE_x_3: $i)).
% 0.20/0.44 tff(ic_type, type, (
% 0.20/0.44 ic: $i > $o)).
% 0.20/0.44 tff(iext_type, type, (
% 0.20/0.44 iext: ( $i * $i * $i ) > $o)).
% 0.20/0.44 tff(tptp_fun_BNODE_l_2_type, type, (
% 0.20/0.44 tptp_fun_BNODE_l_2: $i)).
% 0.20/0.44 tff(uri_owl_oneOf_type, type, (
% 0.20/0.44 uri_owl_oneOf: $i)).
% 0.20/0.44 tff(tptp_fun_X_0_type, type, (
% 0.20/0.44 tptp_fun_X_0: ( $i * $i ) > $i)).
% 0.20/0.44 tff(uri_rdf_nil_type, type, (
% 0.20/0.44 uri_rdf_nil: $i)).
% 0.20/0.44 tff(uri_rdf_rest_type, type, (
% 0.20/0.44 uri_rdf_rest: $i)).
% 0.20/0.44 tff(uri_rdf_first_type, type, (
% 0.20/0.44 uri_rdf_first: $i)).
% 0.20/0.44 tff(uri_owl_equivalentClass_type, type, (
% 0.20/0.44 uri_owl_equivalentClass: $i)).
% 0.20/0.44 tff(tptp_fun_X_1_type, type, (
% 0.20/0.44 tptp_fun_X_1: ( $i * $i ) > $i)).
% 0.20/0.44 tff(ir_type, type, (
% 0.20/0.44 ir: $i > $o)).
% 0.20/0.44 tff(1,plain,
% 0.20/0.44 (?[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))),
% 0.20/0.44 inference(rewrite,[status(thm)],[])).
% 0.20/0.44 tff(2,plain,
% 0.20/0.44 (^[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))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(3,plain,
% 0.20/0.44 (?[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))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[2])).
% 0.20/0.44 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')).
% 0.20/0.44 tff(5,plain,
% 0.20/0.44 (?[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))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.44 tff(6,plain,
% 0.20/0.44 (?[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))),
% 0.20/0.44 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.44 tff(7,plain,(
% 0.20/0.44 iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3) & iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) & iext(uri_rdf_first, BNODE_l!2, uri_ex_w) & iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)),
% 0.20/0.44 inference(skolemize,[status(sab)],[6])).
% 0.20/0.44 tff(8,plain,
% 0.20/0.44 (iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)),
% 0.20/0.44 inference(and_elim,[status(thm)],[7])).
% 0.20/0.44 tff(9,plain,
% 0.20/0.44 (iext(uri_rdf_first, BNODE_l!2, uri_ex_w)),
% 0.20/0.44 inference(and_elim,[status(thm)],[7])).
% 0.20/0.44 tff(10,plain,
% 0.20/0.44 (^[Z: $i, S1: $i, A1: $i] : 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)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))) <=> (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))), (((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))))), rewrite(((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1)))))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))), (((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(11,plain,
% 0.20/0.44 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[10])).
% 0.20/0.44 tff(12,plain,
% 0.20/0.44 (^[Z: $i, S1: $i, A1: $i] : refl(((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(13,plain,
% 0.20/0.44 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[12])).
% 0.20/0.44 tff(14,plain,
% 0.20/0.44 (^[Z: $i, S1: $i, A1: $i] : rewrite(((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))))),
% 0.20/0.44 inference(bind,[status(th)],[])).
% 0.20/0.44 tff(15,plain,
% 0.20/0.44 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.44 inference(quant_intro,[status(thm)],[14])).
% 0.20/0.44 tff(16,plain,
% 0.20/0.44 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.44 inference(transitivity,[status(thm)],[15, 13])).
% 0.20/0.44 tff(17,plain,
% 0.20/0.44 (^[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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))) <=> (iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))) <=> ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(18,plain,
% 0.20/0.45 (![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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))) <=> ![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[17])).
% 0.20/0.45 tff(19,plain,
% 0.20/0.45 (^[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_0(A1, Z)) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1))))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(20,plain,
% 0.20/0.45 (![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_0(A1, Z)) <=> (tptp_fun_X_0(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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[19])).
% 0.20/0.45 tff(21,plain,
% 0.20/0.45 (![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)))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(22,plain,
% 0.20/0.45 (^[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)))))))),
% 0.20/0.45 inference(bind,[status(th)],[])).
% 0.20/0.45 tff(23,plain,
% 0.20/0.45 (![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)))))),
% 0.20/0.45 inference(quant_intro,[status(thm)],[22])).
% 0.20/0.45 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/theBenchmark.p','owl_enum_class_001')).
% 0.20/0.45 tff(25,plain,
% 0.20/0.45 (![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)))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.45 tff(26,plain,
% 0.20/0.45 (![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)))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[25, 21])).
% 0.20/0.45 tff(27,plain,(
% 0.20/0.45 ![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_0(A1, Z)) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.45 inference(skolemize,[status(sab)],[26])).
% 0.20/0.45 tff(28,plain,
% 0.20/0.45 (![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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[27, 20])).
% 0.20/0.45 tff(29,plain,
% 0.20/0.45 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[28, 18])).
% 0.20/0.45 tff(30,plain,
% 0.20/0.45 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, 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_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[29, 16])).
% 0.20/0.45 tff(31,plain,
% 0.20/0.45 (![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[30, 11])).
% 0.20/0.45 tff(32,plain,
% 0.20/0.45 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.45 inference(rewrite,[status(thm)],[])).
% 0.20/0.45 tff(33,plain,
% 0.20/0.45 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(34,plain,
% 0.20/0.45 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))))))))),
% 0.20/0.45 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.20/0.45 tff(35,plain,
% 0.20/0.45 (~((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[34, 31, 9, 8])).
% 0.20/0.45 tff(36,plain,
% 0.20/0.45 (((~(iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2) | (~ic(BNODE_x!3)) | ((~icext(BNODE_x!3, tptp_fun_X_0(uri_ex_w, BNODE_x!3))) <=> (tptp_fun_X_0(uri_ex_w, BNODE_x!3) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))))))) | ((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(37,plain,
% 0.20/0.45 ((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[36, 35])).
% 0.20/0.45 tff(38,plain,
% 0.20/0.45 (iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)),
% 0.20/0.45 inference(and_elim,[status(thm)],[7])).
% 0.20/0.45 tff(39,plain,
% 0.20/0.45 ((~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))) | (~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(40,plain,
% 0.20/0.45 ((~((~iext(uri_owl_oneOf, BNODE_x!3, BNODE_l!2)) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))))) | (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.20/0.45 tff(41,plain,
% 0.20/0.45 (~((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[40, 37])).
% 0.20/0.45 tff(42,plain,
% 0.20/0.45 (((~ic(BNODE_x!3)) | (~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w)))) | ![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))),
% 0.20/0.45 inference(tautology,[status(thm)],[])).
% 0.20/0.45 tff(43,plain,
% 0.20/0.45 (![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[42, 41])).
% 0.20/0.45 tff(44,plain,
% 0.20/0.45 ((~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!3, uri_owl_Thing) <=> (uri_owl_Thing = uri_ex_w))),
% 0.20/0.45 inference(quant_inst,[status(thm)],[])).
% 0.20/0.45 tff(45,plain,
% 0.20/0.45 (icext(BNODE_x!3, uri_owl_Thing) <=> (uri_owl_Thing = uri_ex_w)),
% 0.20/0.45 inference(unit_resolution,[status(thm)],[44, 43])).
% 0.20/0.45 tff(46,plain,
% 0.20/0.45 (^[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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(47,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[46])).
% 0.20/0.46 tff(48,plain,
% 0.20/0.46 (^[C1: $i, C2: $i] : refl((~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(49,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[48])).
% 0.20/0.46 tff(50,plain,
% 0.20/0.46 (^[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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(51,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[50])).
% 0.20/0.46 tff(52,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(transitivity,[status(thm)],[51, 49])).
% 0.20/0.46 tff(53,plain,
% 0.20/0.46 (^[C1: $i, C2: $i] : trans(monotonicity(rewrite(((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))), rewrite((iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))) <=> (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))), rewrite((((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))), ((((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(54,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) <=> ![C1: $i, C2: $i] : (~((~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X))))))) | (~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[53])).
% 0.20/0.46 tff(55,plain,
% 0.20/0.46 (^[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_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(56,plain,
% 0.20/0.46 (![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_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1))))))) <=> ![C1: $i, C2: $i] : (((~iext(uri_owl_equivalentClass, C1, C2)) | (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) & (iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[55])).
% 0.20/0.46 tff(57,plain,
% 0.20/0.46 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(58,plain,
% 0.20/0.46 (^[C1: $i, C2: $i] : rewrite((iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(59,plain,
% 0.20/0.46 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> ((ic(C1) & ic(C2)) & ![X: $i] : (icext(C1, X) <=> icext(C2, X)))) <=> ![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[58])).
% 0.20/0.46 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/theBenchmark.p','owl_eqdis_equivalentclass')).
% 0.20/0.46 tff(61,plain,
% 0.20/0.46 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.20/0.46 tff(62,plain,
% 0.20/0.46 (![C1: $i, C2: $i] : (iext(uri_owl_equivalentClass, C1, C2) <=> (ic(C1) & ic(C2) & ![X: $i] : (icext(C1, X) <=> icext(C2, X))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.20/0.46 tff(63,plain,(
% 0.20/0.46 ![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_1(C2, C1)) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(skolemize,[status(sab)],[62])).
% 0.20/0.46 tff(64,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.20/0.46 tff(65,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[64, 54])).
% 0.20/0.46 tff(66,plain,
% 0.20/0.46 (![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_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1)))))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[65, 52])).
% 0.20/0.46 tff(67,plain,
% 0.20/0.46 (![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[66, 47])).
% 0.20/0.46 tff(68,plain,
% 0.20/0.46 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3) | (~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))) <=> icext(BNODE_x!3, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))))))))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(69,plain,
% 0.20/0.46 (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3) | (~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))) <=> icext(BNODE_x!3, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))))))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[68, 67])).
% 0.20/0.46 tff(70,plain,
% 0.20/0.46 (((~(iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3) | (~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))) <=> icext(BNODE_x!3, tptp_fun_X_1(BNODE_x!3, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))))))) | ((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))))))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(71,plain,
% 0.20/0.46 ((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[70, 69])).
% 0.20/0.46 tff(72,plain,
% 0.20/0.46 (iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)),
% 0.20/0.46 inference(and_elim,[status(thm)],[7])).
% 0.20/0.46 tff(73,plain,
% 0.20/0.46 ((~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))))))) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(74,plain,
% 0.20/0.46 ((~((~iext(uri_owl_equivalentClass, uri_owl_Thing, BNODE_x!3)) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))))))) | (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[73, 72])).
% 0.20/0.46 tff(75,plain,
% 0.20/0.46 (~((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[74, 71])).
% 0.20/0.46 tff(76,plain,
% 0.20/0.46 (((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))) | ![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(77,plain,
% 0.20/0.46 (![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[76, 75])).
% 0.20/0.46 tff(78,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))) | (icext(uri_owl_Thing, uri_owl_Thing) <=> icext(BNODE_x!3, uri_owl_Thing))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(79,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_Thing) <=> icext(BNODE_x!3, uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[78, 77])).
% 0.20/0.46 tff(80,plain,
% 0.20/0.46 (^[X: $i] : refl((icext(uri_owl_Thing, X) <=> ir(X)) <=> (icext(uri_owl_Thing, X) <=> ir(X)))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(81,plain,
% 0.20/0.46 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.20/0.46 inference(quant_intro,[status(thm)],[80])).
% 0.20/0.46 tff(82,plain,
% 0.20/0.46 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X)) <=> ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(83,axiom,(![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_thing_ext')).
% 0.20/0.46 tff(84,plain,
% 0.20/0.46 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.20/0.46 tff(85,plain,(
% 0.20/0.46 ![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.20/0.46 inference(skolemize,[status(sab)],[84])).
% 0.20/0.46 tff(86,plain,
% 0.20/0.46 (![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[85, 81])).
% 0.20/0.46 tff(87,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Thing) <=> ir(uri_owl_Thing))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(88,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_Thing) <=> ir(uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[87, 86])).
% 0.20/0.46 tff(89,plain,
% 0.20/0.46 (^[X: $i] : refl(ir(X) <=> ir(X))),
% 0.20/0.46 inference(bind,[status(th)],[])).
% 0.20/0.46 tff(90,plain,
% 0.20/0.46 (![X: $i] : ir(X) <=> ![X: $i] : ir(X)),
% 0.20/0.46 inference(quant_intro,[status(thm)],[89])).
% 0.20/0.46 tff(91,plain,
% 0.20/0.46 (![X: $i] : ir(X) <=> ![X: $i] : ir(X)),
% 0.20/0.46 inference(rewrite,[status(thm)],[])).
% 0.20/0.46 tff(92,axiom,(![X: $i] : ir(X)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','simple_ir')).
% 0.20/0.46 tff(93,plain,
% 0.20/0.46 (![X: $i] : ir(X)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.20/0.46 tff(94,plain,(
% 0.20/0.46 ![X: $i] : ir(X)),
% 0.20/0.46 inference(skolemize,[status(sab)],[93])).
% 0.20/0.46 tff(95,plain,
% 0.20/0.46 (![X: $i] : ir(X)),
% 0.20/0.46 inference(modus_ponens,[status(thm)],[94, 90])).
% 0.20/0.46 tff(96,plain,
% 0.20/0.46 ((~![X: $i] : ir(X)) | ir(uri_owl_Thing)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(97,plain,
% 0.20/0.46 (ir(uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[96, 95])).
% 0.20/0.46 tff(98,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_Thing) <=> ir(uri_owl_Thing))) | icext(uri_owl_Thing, uri_owl_Thing) | (~ir(uri_owl_Thing))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(99,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_Thing) <=> ir(uri_owl_Thing))) | icext(uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[98, 97])).
% 0.20/0.46 tff(100,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[99, 88])).
% 0.20/0.46 tff(101,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_Thing) <=> icext(BNODE_x!3, uri_owl_Thing))) | (~icext(uri_owl_Thing, uri_owl_Thing)) | icext(BNODE_x!3, uri_owl_Thing)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(102,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_Thing) <=> icext(BNODE_x!3, uri_owl_Thing))) | icext(BNODE_x!3, uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[101, 100])).
% 0.20/0.46 tff(103,plain,
% 0.20/0.46 (icext(BNODE_x!3, uri_owl_Thing)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[102, 79])).
% 0.20/0.46 tff(104,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_Thing) <=> (uri_owl_Thing = uri_ex_w))) | (~icext(BNODE_x!3, uri_owl_Thing)) | (uri_owl_Thing = uri_ex_w)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(105,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_Thing) <=> (uri_owl_Thing = uri_ex_w))) | (uri_owl_Thing = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[104, 103])).
% 0.20/0.46 tff(106,plain,
% 0.20/0.46 (uri_owl_Thing = uri_ex_w),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[105, 45])).
% 0.20/0.46 tff(107,plain,
% 0.20/0.46 (uri_ex_w = uri_owl_Thing),
% 0.20/0.46 inference(symmetry,[status(thm)],[106])).
% 0.20/0.46 tff(108,plain,
% 0.20/0.46 ((~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!3, BNODE_l!2) <=> (BNODE_l!2 = uri_ex_w))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(109,plain,
% 0.20/0.46 (icext(BNODE_x!3, BNODE_l!2) <=> (BNODE_l!2 = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[108, 43])).
% 0.20/0.46 tff(110,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))) | (icext(uri_owl_Thing, BNODE_l!2) <=> icext(BNODE_x!3, BNODE_l!2))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(111,plain,
% 0.20/0.46 (icext(uri_owl_Thing, BNODE_l!2) <=> icext(BNODE_x!3, BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[110, 77])).
% 0.20/0.46 tff(112,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, BNODE_l!2) <=> ir(BNODE_l!2))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(113,plain,
% 0.20/0.46 (icext(uri_owl_Thing, BNODE_l!2) <=> ir(BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[112, 86])).
% 0.20/0.46 tff(114,plain,
% 0.20/0.46 ((~![X: $i] : ir(X)) | ir(BNODE_l!2)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(115,plain,
% 0.20/0.46 (ir(BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[114, 95])).
% 0.20/0.46 tff(116,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, BNODE_l!2) <=> ir(BNODE_l!2))) | icext(uri_owl_Thing, BNODE_l!2) | (~ir(BNODE_l!2))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(117,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, BNODE_l!2) <=> ir(BNODE_l!2))) | icext(uri_owl_Thing, BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.20/0.46 tff(118,plain,
% 0.20/0.46 (icext(uri_owl_Thing, BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[117, 113])).
% 0.20/0.46 tff(119,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, BNODE_l!2) <=> icext(BNODE_x!3, BNODE_l!2))) | (~icext(uri_owl_Thing, BNODE_l!2)) | icext(BNODE_x!3, BNODE_l!2)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(120,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, BNODE_l!2) <=> icext(BNODE_x!3, BNODE_l!2))) | icext(BNODE_x!3, BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[119, 118])).
% 0.20/0.46 tff(121,plain,
% 0.20/0.46 (icext(BNODE_x!3, BNODE_l!2)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[120, 111])).
% 0.20/0.46 tff(122,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, BNODE_l!2) <=> (BNODE_l!2 = uri_ex_w))) | (~icext(BNODE_x!3, BNODE_l!2)) | (BNODE_l!2 = uri_ex_w)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(123,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, BNODE_l!2) <=> (BNODE_l!2 = uri_ex_w))) | (BNODE_l!2 = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[122, 121])).
% 0.20/0.46 tff(124,plain,
% 0.20/0.46 (BNODE_l!2 = uri_ex_w),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[123, 109])).
% 0.20/0.46 tff(125,plain,
% 0.20/0.46 (BNODE_l!2 = uri_owl_Thing),
% 0.20/0.46 inference(transitivity,[status(thm)],[124, 107])).
% 0.20/0.46 tff(126,plain,
% 0.20/0.46 ((~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!3, uri_owl_equivalentClass) <=> (uri_owl_equivalentClass = uri_ex_w))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(127,plain,
% 0.20/0.46 (icext(BNODE_x!3, uri_owl_equivalentClass) <=> (uri_owl_equivalentClass = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[126, 43])).
% 0.20/0.46 tff(128,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))) | (icext(uri_owl_Thing, uri_owl_equivalentClass) <=> icext(BNODE_x!3, uri_owl_equivalentClass))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(129,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_equivalentClass) <=> icext(BNODE_x!3, uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[128, 77])).
% 0.20/0.46 tff(130,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_equivalentClass) <=> ir(uri_owl_equivalentClass))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(131,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_equivalentClass) <=> ir(uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[130, 86])).
% 0.20/0.46 tff(132,plain,
% 0.20/0.46 ((~![X: $i] : ir(X)) | ir(uri_owl_equivalentClass)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(133,plain,
% 0.20/0.46 (ir(uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[132, 95])).
% 0.20/0.46 tff(134,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_equivalentClass) <=> ir(uri_owl_equivalentClass))) | icext(uri_owl_Thing, uri_owl_equivalentClass) | (~ir(uri_owl_equivalentClass))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(135,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_equivalentClass) <=> ir(uri_owl_equivalentClass))) | icext(uri_owl_Thing, uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[134, 133])).
% 0.20/0.46 tff(136,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[135, 131])).
% 0.20/0.46 tff(137,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_equivalentClass) <=> icext(BNODE_x!3, uri_owl_equivalentClass))) | (~icext(uri_owl_Thing, uri_owl_equivalentClass)) | icext(BNODE_x!3, uri_owl_equivalentClass)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(138,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_equivalentClass) <=> icext(BNODE_x!3, uri_owl_equivalentClass))) | icext(BNODE_x!3, uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[137, 136])).
% 0.20/0.46 tff(139,plain,
% 0.20/0.46 (icext(BNODE_x!3, uri_owl_equivalentClass)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[138, 129])).
% 0.20/0.46 tff(140,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_equivalentClass) <=> (uri_owl_equivalentClass = uri_ex_w))) | (~icext(BNODE_x!3, uri_owl_equivalentClass)) | (uri_owl_equivalentClass = uri_ex_w)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(141,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_equivalentClass) <=> (uri_owl_equivalentClass = uri_ex_w))) | (uri_owl_equivalentClass = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[140, 139])).
% 0.20/0.46 tff(142,plain,
% 0.20/0.46 (uri_owl_equivalentClass = uri_ex_w),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[141, 127])).
% 0.20/0.46 tff(143,plain,
% 0.20/0.46 (uri_ex_w = uri_owl_equivalentClass),
% 0.20/0.46 inference(symmetry,[status(thm)],[142])).
% 0.20/0.46 tff(144,plain,
% 0.20/0.46 ((~![X: $i] : (icext(BNODE_x!3, X) <=> (X = uri_ex_w))) | (icext(BNODE_x!3, uri_owl_oneOf) <=> (uri_owl_oneOf = uri_ex_w))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(145,plain,
% 0.20/0.46 (icext(BNODE_x!3, uri_owl_oneOf) <=> (uri_owl_oneOf = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[144, 43])).
% 0.20/0.46 tff(146,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X))) | (icext(uri_owl_Thing, uri_owl_oneOf) <=> icext(BNODE_x!3, uri_owl_oneOf))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(147,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_oneOf) <=> icext(BNODE_x!3, uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[146, 77])).
% 0.20/0.46 tff(148,plain,
% 0.20/0.46 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_oneOf) <=> ir(uri_owl_oneOf))),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(149,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_oneOf) <=> ir(uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[148, 86])).
% 0.20/0.46 tff(150,plain,
% 0.20/0.46 ((~![X: $i] : ir(X)) | ir(uri_owl_oneOf)),
% 0.20/0.46 inference(quant_inst,[status(thm)],[])).
% 0.20/0.46 tff(151,plain,
% 0.20/0.46 (ir(uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[150, 95])).
% 0.20/0.46 tff(152,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_oneOf) <=> ir(uri_owl_oneOf))) | icext(uri_owl_Thing, uri_owl_oneOf) | (~ir(uri_owl_oneOf))),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(153,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_oneOf) <=> ir(uri_owl_oneOf))) | icext(uri_owl_Thing, uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[152, 151])).
% 0.20/0.46 tff(154,plain,
% 0.20/0.46 (icext(uri_owl_Thing, uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[153, 149])).
% 0.20/0.46 tff(155,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_oneOf) <=> icext(BNODE_x!3, uri_owl_oneOf))) | (~icext(uri_owl_Thing, uri_owl_oneOf)) | icext(BNODE_x!3, uri_owl_oneOf)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(156,plain,
% 0.20/0.46 ((~(icext(uri_owl_Thing, uri_owl_oneOf) <=> icext(BNODE_x!3, uri_owl_oneOf))) | icext(BNODE_x!3, uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[155, 154])).
% 0.20/0.46 tff(157,plain,
% 0.20/0.46 (icext(BNODE_x!3, uri_owl_oneOf)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[156, 147])).
% 0.20/0.46 tff(158,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_oneOf) <=> (uri_owl_oneOf = uri_ex_w))) | (~icext(BNODE_x!3, uri_owl_oneOf)) | (uri_owl_oneOf = uri_ex_w)),
% 0.20/0.46 inference(tautology,[status(thm)],[])).
% 0.20/0.46 tff(159,plain,
% 0.20/0.46 ((~(icext(BNODE_x!3, uri_owl_oneOf) <=> (uri_owl_oneOf = uri_ex_w))) | (uri_owl_oneOf = uri_ex_w)),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[158, 157])).
% 0.20/0.46 tff(160,plain,
% 0.20/0.46 (uri_owl_oneOf = uri_ex_w),
% 0.20/0.46 inference(unit_resolution,[status(thm)],[159, 145])).
% 0.20/0.46 tff(161,plain,
% 0.20/0.46 (uri_owl_oneOf = uri_owl_equivalentClass),
% 0.20/0.46 inference(transitivity,[status(thm)],[160, 143])).
% 0.20/0.46 tff(162,plain,
% 0.20/0.46 (iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) <=> iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.46 inference(monotonicity,[status(thm)],[161, 125])).
% 0.20/0.46 tff(163,plain,
% 0.20/0.46 (iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing) <=> iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)),
% 0.20/0.46 inference(symmetry,[status(thm)],[162])).
% 0.20/0.46 tff(164,plain,
% 0.20/0.46 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(165,plain,
% 0.20/0.47 ((~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing) | (~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))) <=> icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)) | (~((~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(uri_owl_Thing, X))))))))) <=> (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(166,plain,
% 0.20/0.47 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing) | (~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))) <=> icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)) | (~((~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(uri_owl_Thing, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[165])).
% 0.20/0.47 tff(167,plain,
% 0.20/0.47 (((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing) | (~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))) <=> icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)) | (~((~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(uri_owl_Thing, X)))))))))) <=> ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[166, 164])).
% 0.20/0.47 tff(168,plain,
% 0.20/0.47 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing) | (~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))) <=> icext(uri_owl_Thing, tptp_fun_X_1(uri_owl_Thing, uri_owl_Thing))))) | (~((~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)) | (~((~ic(uri_owl_Thing)) | (~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(uri_owl_Thing, X)))))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(169,plain,
% 0.20/0.47 ((~![C1: $i, C2: $i] : (~((~(iext(uri_owl_equivalentClass, C1, C2) | (~ic(C1)) | (~ic(C2)) | ((~icext(C1, tptp_fun_X_1(C2, C1))) <=> icext(C2, tptp_fun_X_1(C2, C1))))) | (~((~iext(uri_owl_equivalentClass, C1, C2)) | (~((~ic(C1)) | (~ic(C2)) | (~![X: $i] : (icext(C1, X) <=> icext(C2, X)))))))))) | (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[168, 167])).
% 0.20/0.47 tff(170,plain,
% 0.20/0.47 (~((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[169, 67])).
% 0.20/0.47 tff(171,plain,
% 0.20/0.47 (((~(ic(uri_owl_Thing) | (~iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | (~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)))) | ((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(172,plain,
% 0.20/0.47 ((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[171, 170])).
% 0.20/0.47 tff(173,plain,
% 0.20/0.47 (((~ic(uri_owl_Thing)) | (~ic(BNODE_x!3)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> icext(BNODE_x!3, X)))) | ic(uri_owl_Thing)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(174,plain,
% 0.20/0.47 (ic(uri_owl_Thing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[173, 75])).
% 0.20/0.47 tff(175,plain,
% 0.20/0.47 ((~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))) | (~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(176,plain,
% 0.20/0.47 ((~((~ic(uri_owl_Thing)) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing))) | iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[175, 174])).
% 0.20/0.47 tff(177,plain,
% 0.20/0.47 (iext(uri_owl_equivalentClass, uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[176, 172])).
% 0.20/0.47 tff(178,plain,
% 0.20/0.47 (iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[177, 163])).
% 0.20/0.47 tff(179,plain,
% 0.20/0.47 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(180,plain,
% 0.20/0.47 (((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))) <=> ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(181,plain,
% 0.20/0.47 ((~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))) <=> (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(182,plain,
% 0.20/0.47 (((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))) <=> ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[181])).
% 0.20/0.47 tff(183,plain,
% 0.20/0.47 (((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))) <=> ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[182, 180])).
% 0.20/0.47 tff(184,plain,
% 0.20/0.47 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))))),
% 0.20/0.47 inference(monotonicity,[status(thm)],[183])).
% 0.20/0.47 tff(185,plain,
% 0.20/0.47 (((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))) <=> ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(transitivity,[status(thm)],[184, 179])).
% 0.20/0.47 tff(186,plain,
% 0.20/0.47 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | ((~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~(iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | (~ic(uri_owl_Thing)) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(187,plain,
% 0.20/0.47 ((~![Z: $i, S1: $i, A1: $i] : ((~iext(uri_rdf_rest, S1, uri_rdf_nil)) | (~iext(uri_rdf_first, S1, A1)) | (~((~(iext(uri_owl_oneOf, Z, S1) | (~ic(Z)) | ((~icext(Z, tptp_fun_X_0(A1, Z))) <=> (tptp_fun_X_0(A1, Z) = A1)))) | (~((~iext(uri_owl_oneOf, Z, S1)) | (~((~ic(Z)) | (~![X: $i] : (icext(Z, X) <=> (X = A1))))))))))) | (~iext(uri_rdf_rest, BNODE_l!2, uri_rdf_nil)) | (~iext(uri_rdf_first, BNODE_l!2, uri_ex_w)) | (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.20/0.47 tff(188,plain,
% 0.20/0.47 (~((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[187, 31, 9, 8])).
% 0.20/0.47 tff(189,plain,
% 0.20/0.47 (((~((~ic(uri_owl_Thing)) | iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2) | ((~icext(uri_owl_Thing, tptp_fun_X_0(uri_ex_w, uri_owl_Thing))) <=> (tptp_fun_X_0(uri_ex_w, uri_owl_Thing) = uri_ex_w)))) | (~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))))) | ((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(190,plain,
% 0.20/0.47 ((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.20/0.47 tff(191,plain,
% 0.20/0.47 ((~((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))))) | (~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(192,plain,
% 0.20/0.47 ((~iext(uri_owl_oneOf, uri_owl_Thing, BNODE_l!2)) | (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[191, 190])).
% 0.20/0.47 tff(193,plain,
% 0.20/0.47 (~((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[192, 178])).
% 0.20/0.47 tff(194,plain,
% 0.20/0.47 (((~ic(uri_owl_Thing)) | (~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w)))) | ![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(195,plain,
% 0.20/0.47 (![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[194, 193])).
% 0.20/0.47 tff(196,plain,
% 0.20/0.47 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> (X = uri_ex_w))) | (icext(uri_owl_Thing, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(197,plain,
% 0.20/0.47 (icext(uri_owl_Thing, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[196, 195])).
% 0.20/0.47 tff(198,plain,
% 0.20/0.47 ((~![X: $i] : (icext(uri_owl_Thing, X) <=> ir(X))) | (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(199,plain,
% 0.20/0.47 (icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[198, 86])).
% 0.20/0.47 tff(200,plain,
% 0.20/0.47 ((~![X: $i] : ir(X)) | ir(uri_owl_Nothing)),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(201,plain,
% 0.20/0.47 (ir(uri_owl_Nothing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[200, 95])).
% 0.20/0.47 tff(202,plain,
% 0.20/0.47 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing) | (~ir(uri_owl_Nothing))),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(203,plain,
% 0.20/0.47 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> ir(uri_owl_Nothing))) | icext(uri_owl_Thing, uri_owl_Nothing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[202, 201])).
% 0.20/0.47 tff(204,plain,
% 0.20/0.47 (icext(uri_owl_Thing, uri_owl_Nothing)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[203, 199])).
% 0.20/0.47 tff(205,plain,
% 0.20/0.47 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))) | (~icext(uri_owl_Thing, uri_owl_Nothing)) | (uri_owl_Nothing = uri_ex_w)),
% 0.20/0.47 inference(tautology,[status(thm)],[])).
% 0.20/0.47 tff(206,plain,
% 0.20/0.47 ((~(icext(uri_owl_Thing, uri_owl_Nothing) <=> (uri_owl_Nothing = uri_ex_w))) | (uri_owl_Nothing = uri_ex_w)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[205, 204])).
% 0.20/0.47 tff(207,plain,
% 0.20/0.47 (uri_owl_Nothing = uri_ex_w),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[206, 197])).
% 0.20/0.47 tff(208,plain,
% 0.20/0.47 (uri_owl_Nothing = uri_owl_Thing),
% 0.20/0.47 inference(transitivity,[status(thm)],[207, 107])).
% 0.20/0.47 tff(209,plain,
% 0.20/0.47 (icext(uri_owl_Nothing, uri_ex_w) <=> icext(uri_owl_Thing, uri_owl_Thing)),
% 0.20/0.47 inference(monotonicity,[status(thm)],[208, 107])).
% 0.20/0.47 tff(210,plain,
% 0.20/0.47 (icext(uri_owl_Thing, uri_owl_Thing) <=> icext(uri_owl_Nothing, uri_ex_w)),
% 0.20/0.47 inference(symmetry,[status(thm)],[209])).
% 0.20/0.47 tff(211,plain,
% 0.20/0.47 (icext(uri_owl_Nothing, uri_ex_w)),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[100, 210])).
% 0.20/0.47 tff(212,plain,
% 0.20/0.47 (^[X: $i] : refl((~icext(uri_owl_Nothing, X)) <=> (~icext(uri_owl_Nothing, X)))),
% 0.20/0.47 inference(bind,[status(th)],[])).
% 0.20/0.47 tff(213,plain,
% 0.20/0.47 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.20/0.47 inference(quant_intro,[status(thm)],[212])).
% 0.20/0.47 tff(214,plain,
% 0.20/0.47 (![X: $i] : (~icext(uri_owl_Nothing, X)) <=> ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.20/0.47 inference(rewrite,[status(thm)],[])).
% 0.20/0.47 tff(215,axiom,(![X: $i] : (~icext(uri_owl_Nothing, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','owl_class_nothing_ext')).
% 0.20/0.47 tff(216,plain,
% 0.20/0.47 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[215, 214])).
% 0.20/0.47 tff(217,plain,(
% 0.20/0.47 ![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.20/0.47 inference(skolemize,[status(sab)],[216])).
% 0.20/0.47 tff(218,plain,
% 0.20/0.47 (![X: $i] : (~icext(uri_owl_Nothing, X))),
% 0.20/0.47 inference(modus_ponens,[status(thm)],[217, 213])).
% 0.20/0.47 tff(219,plain,
% 0.20/0.47 ((~![X: $i] : (~icext(uri_owl_Nothing, X))) | (~icext(uri_owl_Nothing, uri_ex_w))),
% 0.20/0.47 inference(quant_inst,[status(thm)],[])).
% 0.20/0.47 tff(220,plain,
% 0.20/0.47 (~icext(uri_owl_Nothing, uri_ex_w)),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[219, 218])).
% 0.20/0.47 tff(221,plain,
% 0.20/0.47 ($false),
% 0.20/0.47 inference(unit_resolution,[status(thm)],[220, 211])).
% 0.20/0.47 % SZS output end Proof
%------------------------------------------------------------------------------