TSTP Solution File: SWB008+2 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 : Thu Aug 31 20:03:55 EDT 2023
% Result : Theorem 4.02s 4.38s
% Output : Proof 4.02s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.17 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.18 % Command : duper %s
% 0.10/0.37 % Computer : n032.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8042.1875MB
% 0.10/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Aug 27 06:31:29 EDT 2023
% 0.10/0.37 % CPUTime :
% 4.02/4.38 SZS status Theorem for theBenchmark.p
% 4.02/4.38 SZS output start Proof for theBenchmark.p
% 4.02/4.38 Clause #0 (by assumption #[]): Eq (∀ (X C : Iota), Iff (iext uri_rdf_type X C) (icext C X)) True
% 4.02/4.38 Clause #1 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True
% 4.02/4.38 Clause #2 (by assumption #[]): Eq
% 4.02/4.38 (∀ (P : Iota),
% 4.02/4.38 Iff (icext uri_owl_InverseFunctionalProperty P)
% 4.02/4.38 (And (ip P) (∀ (X1 X2 Y : Iota), And (iext P X1 Y) (iext P X2 Y) → Eq X1 X2)))
% 4.02/4.38 True
% 4.02/4.38 Clause #3 (by assumption #[]): Eq (Not (iext uri_owl_sameAs uri_ex_bob uri_ex_robert)) True
% 4.02/4.38 Clause #4 (by assumption #[]): Eq
% 4.02/4.38 (And
% 4.02/4.38 (And
% 4.02/4.38 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty)
% 4.02/4.38 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty))
% 4.02/4.38 (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz)))
% 4.02/4.38 (iext uri_foaf_mbox_sha1sum uri_ex_robert (literal_plain dat_str_xyz)))
% 4.02/4.38 True
% 4.02/4.38 Clause #5 (by clausification #[3]): Eq (iext uri_owl_sameAs uri_ex_bob uri_ex_robert) False
% 4.02/4.38 Clause #6 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (iext uri_rdf_type a C) (icext C a)) True
% 4.02/4.38 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_rdf_type a a_1) (icext a_1 a)) True
% 4.02/4.38 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (iext uri_rdf_type a a_1) False) (Eq (icext a_1 a) True)
% 4.02/4.38 Clause #10 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True
% 4.02/4.38 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True
% 4.02/4.38 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Eq (Eq a a_1) False)
% 4.02/4.38 Clause #14 (by clausification #[12]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) True) (Ne a a_1)
% 4.02/4.38 Clause #15 (by destructive equality resolution #[14]): ∀ (a : Iota), Eq (iext uri_owl_sameAs a a) True
% 4.02/4.38 Clause #18 (by clausification #[2]): ∀ (a : Iota),
% 4.02/4.38 Eq
% 4.02/4.38 (Iff (icext uri_owl_InverseFunctionalProperty a)
% 4.02/4.38 (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)))
% 4.02/4.38 True
% 4.02/4.38 Clause #20 (by clausification #[18]): ∀ (a : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Eq (And (ip a) (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2)) True)
% 4.02/4.38 Clause #33 (by clausification #[20]): ∀ (a : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Eq (∀ (X1 X2 Y : Iota), And (iext a X1 Y) (iext a X2 Y) → Eq X1 X2) True)
% 4.02/4.38 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Eq (∀ (X2 Y : Iota), And (iext a a_1 Y) (iext a X2 Y) → Eq a_1 X2) True)
% 4.02/4.38 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Eq (∀ (Y : Iota), And (iext a a_1 Y) (iext a a_2 Y) → Eq a_1 a_2) True)
% 4.02/4.38 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Eq (And (iext a a_1 a_2) (iext a a_3 a_2) → Eq a_1 a_3) True)
% 4.02/4.38 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Or (Eq (And (iext a a_1 a_2) (iext a a_3 a_2)) False) (Eq (Eq a_1 a_3) True))
% 4.02/4.38 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Or (Eq (Eq a_1 a_2) True) (Or (Eq (iext a a_1 a_3) False) (Eq (iext a a_2 a_3) False)))
% 4.02/4.38 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.02/4.38 Or (Eq (icext uri_owl_InverseFunctionalProperty a) False)
% 4.02/4.38 (Or (Eq (iext a a_1 a_2) False) (Or (Eq (iext a a_3 a_2) False) (Eq a_1 a_3)))
% 4.02/4.38 Clause #41 (by clausification #[4]): Eq (iext uri_foaf_mbox_sha1sum uri_ex_robert (literal_plain dat_str_xyz)) True
% 4.02/4.38 Clause #42 (by clausification #[4]): Eq
% 4.02/4.38 (And
% 4.02/4.38 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty)
% 4.02/4.38 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty))
% 4.02/4.38 (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz)))
% 4.02/4.38 True
% 4.02/4.38 Clause #43 (by clausification #[42]): Eq (iext uri_foaf_mbox_sha1sum uri_ex_bob (literal_plain dat_str_xyz)) True
% 4.02/4.38 Clause #44 (by clausification #[42]): Eq
% 4.02/4.38 (And (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_DatatypeProperty)
% 4.02/4.38 (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty))
% 4.02/4.38 True
% 4.02/4.38 Clause #46 (by clausification #[44]): Eq (iext uri_rdf_type uri_foaf_mbox_sha1sum uri_owl_InverseFunctionalProperty) True
% 4.02/4.38 Clause #48 (by superposition #[46, 9]): Or (Eq True False) (Eq (icext uri_owl_InverseFunctionalProperty uri_foaf_mbox_sha1sum) True)
% 4.02/4.38 Clause #52 (by clausification #[48]): Eq (icext uri_owl_InverseFunctionalProperty uri_foaf_mbox_sha1sum) True
% 4.02/4.38 Clause #53 (by superposition #[52, 40]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.38 Or (Eq True False)
% 4.02/4.38 (Or (Eq (iext uri_foaf_mbox_sha1sum a a_1) False) (Or (Eq (iext uri_foaf_mbox_sha1sum a_2 a_1) False) (Eq a a_2)))
% 4.02/4.38 Clause #60 (by clausification #[53]): ∀ (a a_1 a_2 : Iota),
% 4.02/4.39 Or (Eq (iext uri_foaf_mbox_sha1sum a a_1) False) (Or (Eq (iext uri_foaf_mbox_sha1sum a_2 a_1) False) (Eq a a_2))
% 4.02/4.39 Clause #62 (by superposition #[60, 43]): ∀ (a : Iota),
% 4.02/4.39 Or (Eq (iext uri_foaf_mbox_sha1sum a (literal_plain dat_str_xyz)) False) (Or (Eq uri_ex_bob a) (Eq False True))
% 4.02/4.39 Clause #63 (by clausification #[62]): ∀ (a : Iota), Or (Eq (iext uri_foaf_mbox_sha1sum a (literal_plain dat_str_xyz)) False) (Eq uri_ex_bob a)
% 4.02/4.39 Clause #64 (by superposition #[63, 41]): Or (Eq uri_ex_bob uri_ex_robert) (Eq False True)
% 4.02/4.39 Clause #69 (by clausification #[64]): Eq uri_ex_bob uri_ex_robert
% 4.02/4.39 Clause #70 (by backward demodulation #[69, 5]): Eq (iext uri_owl_sameAs uri_ex_bob uri_ex_bob) False
% 4.02/4.39 Clause #71 (by superposition #[70, 15]): Eq False True
% 4.02/4.39 Clause #72 (by clausification #[71]): False
% 4.02/4.39 SZS output end Proof for theBenchmark.p
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