%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SWB002+4 : TPTP v9.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n002.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 : Fri Oct 3 08:03:21 PM UTC 2025 % Result : Theorem 6.55s 6.75s % Output : Proof 6.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : SWB002+4 : TPTP v9.2.0. Released v5.2.0. % 0.10/0.13 % Command : duper %s % 0.13/0.33 % Computer : n002.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Thu Oct 2 11:54:08 EDT 2025 % 0.13/0.34 % CPUTime : % 6.55/6.75 SZS status Theorem for theBenchmark.p % 6.55/6.75 SZS output start Proof for theBenchmark.p % 6.55/6.75 Clause #78 (by assumption #[]): Eq % 6.55/6.75 (Not % 6.55/6.75 (Exists fun BNODE_x => Exists fun BNODE_y => And (iext uri_ex_p BNODE_x BNODE_y) (iext uri_ex_q BNODE_y BNODE_x))) % 6.55/6.75 True % 6.55/6.75 Clause #79 (by assumption #[]): Eq (Exists fun BNODE_o => And (iext uri_ex_p uri_ex_s BNODE_o) (iext uri_ex_q BNODE_o uri_ex_s)) True % 6.55/6.75 Clause #330 (by clausification #[78]): Eq (Exists fun BNODE_x => Exists fun BNODE_y => And (iext uri_ex_p BNODE_x BNODE_y) (iext uri_ex_q BNODE_y BNODE_x)) % 6.55/6.75 False % 6.55/6.75 Clause #331 (by clausification #[330]): ∀ (a : Iota), Eq (Exists fun BNODE_y => And (iext uri_ex_p a BNODE_y) (iext uri_ex_q BNODE_y a)) False % 6.55/6.75 Clause #332 (by clausification #[331]): ∀ (a a_1 : Iota), Eq (And (iext uri_ex_p a a_1) (iext uri_ex_q a_1 a)) False % 6.55/6.75 Clause #333 (by clausification #[332]): ∀ (a a_1 : Iota), Or (Eq (iext uri_ex_p a a_1) False) (Eq (iext uri_ex_q a_1 a) False) % 6.55/6.75 Clause #347 (by clausification #[79]): ∀ (a : Iota), Eq (And (iext uri_ex_p uri_ex_s (skS.0 0 a)) (iext uri_ex_q (skS.0 0 a) uri_ex_s)) True % 6.55/6.75 Clause #348 (by clausification #[347]): ∀ (a : Iota), Eq (iext uri_ex_q (skS.0 0 a) uri_ex_s) True % 6.55/6.75 Clause #349 (by clausification #[347]): ∀ (a : Iota), Eq (iext uri_ex_p uri_ex_s (skS.0 0 a)) True % 6.55/6.75 Clause #517 (by superposition #[349, 333]): ∀ (a : Iota), Or (Eq True False) (Eq (iext uri_ex_q (skS.0 0 a) uri_ex_s) False) % 6.55/6.75 Clause #841 (by clausification #[517]): ∀ (a : Iota), Eq (iext uri_ex_q (skS.0 0 a) uri_ex_s) False % 6.55/6.75 Clause #842 (by superposition #[841, 348]): Eq False True % 6.55/6.75 Clause #843 (by clausification #[842]): False % 6.55/6.75 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------