TSTP Solution File: SWB007+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SWB007+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n009.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 20:03:54 EDT 2023
% Result : Theorem 3.51s 3.70s
% Output : Proof 3.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB007+2 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n009.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 : Sun Aug 27 06:27:05 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.51/3.70 SZS status Theorem for theBenchmark.p
% 3.51/3.70 SZS output start Proof for theBenchmark.p
% 3.51/3.70 Clause #0 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (iext uri_owl_sameAs X Y) (Eq X Y)) True
% 3.51/3.70 Clause #1 (by assumption #[]): Eq
% 3.51/3.70 (Not
% 3.51/3.70 (And (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2))
% 3.51/3.70 (iext uri_rdfs_range uri_ex_p uri_ex_c2)))
% 3.51/3.70 True
% 3.51/3.70 Clause #2 (by assumption #[]): Eq
% 3.51/3.70 (And
% 3.51/3.70 (And (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1))
% 3.51/3.70 (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1))
% 3.51/3.70 (iext uri_rdfs_range uri_ex_p uri_ex_c1))
% 3.51/3.70 True
% 3.51/3.70 Clause #3 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (iext uri_owl_sameAs a Y) (Eq a Y)) True
% 3.51/3.70 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (Iff (iext uri_owl_sameAs a a_1) (Eq a a_1)) True
% 3.51/3.70 Clause #6 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq (Eq a a_1) True)
% 3.51/3.70 Clause #9 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (iext uri_owl_sameAs a a_1) False) (Eq a a_1)
% 3.51/3.70 Clause #12 (by clausification #[1]): Eq
% 3.51/3.70 (And (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2))
% 3.51/3.70 (iext uri_rdfs_range uri_ex_p uri_ex_c2))
% 3.51/3.70 False
% 3.51/3.70 Clause #13 (by clausification #[12]): Or (Eq (And (iext uri_rdf_type uri_ex_w uri_ex_c2) (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2)) False)
% 3.51/3.70 (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False)
% 3.51/3.70 Clause #14 (by clausification #[13]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False)
% 3.51/3.70 (Or (Eq (iext uri_rdf_type uri_ex_w uri_ex_c2) False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False))
% 3.51/3.70 Clause #15 (by clausification #[2]): Eq (iext uri_rdfs_range uri_ex_p uri_ex_c1) True
% 3.51/3.70 Clause #16 (by clausification #[2]): Eq
% 3.51/3.70 (And (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1))
% 3.51/3.70 (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1))
% 3.51/3.70 True
% 3.51/3.70 Clause #17 (by clausification #[16]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c1) True
% 3.51/3.70 Clause #18 (by clausification #[16]): Eq (And (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) (iext uri_rdf_type uri_ex_w uri_ex_c1)) True
% 3.51/3.70 Clause #19 (by clausification #[18]): Eq (iext uri_rdf_type uri_ex_w uri_ex_c1) True
% 3.51/3.70 Clause #20 (by clausification #[18]): Eq (iext uri_owl_sameAs uri_ex_c1 uri_ex_c2) True
% 3.51/3.70 Clause #21 (by superposition #[20, 9]): Or (Eq True False) (Eq uri_ex_c1 uri_ex_c2)
% 3.51/3.70 Clause #22 (by clausification #[21]): Eq uri_ex_c1 uri_ex_c2
% 3.51/3.70 Clause #23 (by backward demodulation #[22, 15]): Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) True
% 3.51/3.70 Clause #24 (by backward demodulation #[22, 17]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) True
% 3.51/3.70 Clause #25 (by backward demodulation #[22, 19]): Eq (iext uri_rdf_type uri_ex_w uri_ex_c2) True
% 3.51/3.70 Clause #27 (by backward demodulation #[25, 14]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False)
% 3.51/3.70 (Or (Eq True False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False))
% 3.51/3.70 Clause #28 (by clausification #[27]): Or (Eq (iext uri_rdfs_range uri_ex_p uri_ex_c2) False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False)
% 3.51/3.70 Clause #29 (by forward demodulation #[28, 23]): Or (Eq True False) (Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False)
% 3.51/3.70 Clause #30 (by clausification #[29]): Eq (iext uri_rdfs_subClassOf uri_ex_c uri_ex_c2) False
% 3.51/3.70 Clause #31 (by superposition #[30, 24]): Eq False True
% 3.51/3.70 Clause #32 (by clausification #[31]): False
% 3.51/3.70 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------