%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : SEU535^2 : TPTP v9.2.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Oct 3 08:01:51 PM UTC 2025 % Result : Theorem 3.68s 3.93s % Output : Proof 3.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SEU535^2 : TPTP v9.2.0. Released v3.7.0. % 0.07/0.14 % Command : duper %s % 0.15/0.36 % Computer : n018.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Fri Oct 3 04:11:23 EDT 2025 % 0.15/0.36 % CPUTime : % 3.68/3.93 SZS status Theorem for theBenchmark.p % 3.68/3.93 SZS output start Proof for theBenchmark.p % 3.68/3.93 Clause #0 (by assumption #[]): Eq (Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi)) True % 3.68/3.93 Clause #1 (by assumption #[]): Eq (Not (emptysetE → ∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx emptyset → Xphi Xx)) True % 3.68/3.93 Clause #2 (by clausification #[1]): Eq (emptysetE → ∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx emptyset → Xphi Xx) False % 3.68/3.93 Clause #3 (by clausification #[2]): Eq emptysetE True % 3.68/3.93 Clause #4 (by clausification #[2]): Eq (∀ (Xphi : Iota → Prop) (Xx : Iota), in Xx emptyset → Xphi Xx) False % 3.68/3.93 Clause #5 (by clausification #[4]): ∀ (a : Iota → Prop), Eq (Not (∀ (Xx : Iota), in Xx emptyset → skS.0 0 a Xx)) True % 3.68/3.93 Clause #6 (by clausification #[5]): ∀ (a : Iota → Prop), Eq (∀ (Xx : Iota), in Xx emptyset → skS.0 0 a Xx) False % 3.68/3.93 Clause #7 (by clausification #[6]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (Not (in (skS.0 1 a a_1) emptyset → skS.0 0 a (skS.0 1 a a_1))) True % 3.68/3.93 Clause #8 (by clausification #[7]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (in (skS.0 1 a a_1) emptyset → skS.0 0 a (skS.0 1 a a_1)) False % 3.68/3.93 Clause #9 (by clausification #[8]): ∀ (a : Iota → Prop) (a_1 : Iota), Eq (in (skS.0 1 a a_1) emptyset) True % 3.68/3.93 Clause #11 (by clausification #[0]): Eq emptysetE (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) % 3.68/3.93 Clause #12 (by forward demodulation #[11, 3]): Eq True (∀ (Xx : Iota), in Xx emptyset → ∀ (Xphi : Prop), Xphi) % 3.68/3.93 Clause #13 (by clausification #[12]): ∀ (a : Iota), Eq (in a emptyset → ∀ (Xphi : Prop), Xphi) True % 3.68/3.93 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (in a emptyset) False) (Eq (∀ (Xphi : Prop), Xphi) True) % 3.68/3.93 Clause #15 (by clausification #[14]): ∀ (a : Iota) (a_1 : Prop), Or (Eq (in a emptyset) False) (Eq a_1 True) % 3.68/3.93 Clause #16 (by superposition #[15, 9]): ∀ (a : Prop), Or (Eq a True) (Eq False True) % 3.68/3.93 Clause #17 (by clausification #[16]): ∀ (a : Prop), Eq a True % 3.68/3.93 Clause #18 (by falseElim #[17]): False % 3.68/3.93 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------