%------------------------------------------------------------------------------ % File : Duper---1.0 % Problem : MSC017+1 : TPTP v9.2.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : duper %s % Computer : n005.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 07:55:24 PM UTC 2025 % Result : Theorem 3.72s 3.92s % Output : Proof 3.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : MSC017+1 : TPTP v9.2.0. Released v4.0.0. % 0.08/0.14 % Command : duper %s % 0.14/0.36 % Computer : n005.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Thu Oct 2 17:00:08 EDT 2025 % 0.14/0.36 % CPUTime : % 3.72/3.92 SZS status Theorem for theBenchmark.p % 3.72/3.92 SZS output start Proof for theBenchmark.p % 3.72/3.92 Clause #1 (by assumption #[]): Eq % 3.72/3.92 (∀ (D : Iota), % 3.72/3.92 dive D → % 3.72/3.92 Iff (Or (greater (depth D) depth_limit) (greater (time D) time_limit)) (greater (nitrogen D) nitrogen_limit)) % 3.72/3.92 True % 3.72/3.92 Clause #2 (by assumption #[]): Eq (∀ (D : Iota), dive D → Iff (greater (nitrogen D) nitrogen_limit) (outcome D dci)) True % 3.72/3.92 Clause #4 (by assumption #[]): Eq (∀ (D : Iota), dive D → ∀ (O : Iota), And (outcome D O) (bad O) → Eq O dci) True % 3.72/3.92 Clause #5 (by assumption #[]): Eq (∀ (D : Iota), dive D → And (Not (greater (depth D) depth_limit)) (Not (greater (time D) time_limit))) True % 3.72/3.92 Clause #6 (by assumption #[]): Eq (Not (∀ (D : Iota), dive D → ∀ (O : Iota), outcome D O → Not (bad O))) True % 3.72/3.92 Clause #7 (by clausification #[6]): Eq (∀ (D : Iota), dive D → ∀ (O : Iota), outcome D O → Not (bad O)) False % 3.72/3.92 Clause #8 (by clausification #[7]): ∀ (a : Iota), Eq (Not (dive (skS.0 0 a) → ∀ (O : Iota), outcome (skS.0 0 a) O → Not (bad O))) True % 3.72/3.92 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (dive (skS.0 0 a) → ∀ (O : Iota), outcome (skS.0 0 a) O → Not (bad O)) False % 3.72/3.92 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (dive (skS.0 0 a)) True % 3.72/3.92 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (O : Iota), outcome (skS.0 0 a) O → Not (bad O)) False % 3.72/3.92 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Eq (Not (outcome (skS.0 0 a) (skS.0 1 a a_1) → Not (bad (skS.0 1 a a_1)))) True % 3.72/3.92 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (outcome (skS.0 0 a) (skS.0 1 a a_1) → Not (bad (skS.0 1 a a_1))) False % 3.72/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (outcome (skS.0 0 a) (skS.0 1 a a_1)) True % 3.72/3.92 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (bad (skS.0 1 a a_1))) False % 3.72/3.92 Clause #16 (by clausification #[4]): ∀ (a : Iota), Eq (dive a → ∀ (O : Iota), And (outcome a O) (bad O) → Eq O dci) True % 3.72/3.92 Clause #17 (by clausification #[16]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (∀ (O : Iota), And (outcome a O) (bad O) → Eq O dci) True) % 3.72/3.92 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (dive a) False) (Eq (And (outcome a a_1) (bad a_1) → Eq a_1 dci) True) % 3.72/3.92 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (dive a) False) (Or (Eq (And (outcome a a_1) (bad a_1)) False) (Eq (Eq a_1 dci) True)) % 3.72/3.92 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), % 3.72/3.92 Or (Eq (dive a) False) (Or (Eq (Eq a_1 dci) True) (Or (Eq (outcome a a_1) False) (Eq (bad a_1) False))) % 3.72/3.92 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (dive a) False) (Or (Eq (outcome a a_1) False) (Or (Eq (bad a_1) False) (Eq a_1 dci))) % 3.72/3.92 Clause #22 (by superposition #[21, 10]): ∀ (a a_1 : Iota), Or (Eq (outcome (skS.0 0 a) a_1) False) (Or (Eq (bad a_1) False) (Or (Eq a_1 dci) (Eq False True))) % 3.72/3.92 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (dive a → Iff (greater (nitrogen a) nitrogen_limit) (outcome a dci)) True % 3.72/3.92 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Iff (greater (nitrogen a) nitrogen_limit) (outcome a dci)) True) % 3.72/3.92 Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (dive a) False) (Or (Eq (greater (nitrogen a) nitrogen_limit) True) (Eq (outcome a dci) False)) % 3.72/3.92 Clause #27 (by superposition #[25, 10]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True) (Or (Eq (outcome (skS.0 0 a) dci) False) (Eq False True)) % 3.72/3.92 Clause #32 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (bad (skS.0 1 a a_1)) True % 3.72/3.92 Clause #34 (by clausification #[5]): ∀ (a : Iota), Eq (dive a → And (Not (greater (depth a) depth_limit)) (Not (greater (time a) time_limit))) True % 3.72/3.92 Clause #35 (by clausification #[34]): ∀ (a : Iota), % 3.72/3.92 Or (Eq (dive a) False) (Eq (And (Not (greater (depth a) depth_limit)) (Not (greater (time a) time_limit))) True) % 3.72/3.92 Clause #36 (by clausification #[35]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Not (greater (time a) time_limit)) True) % 3.72/3.92 Clause #37 (by clausification #[35]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Not (greater (depth a) depth_limit)) True) % 3.72/3.94 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (greater (time a) time_limit) False) % 3.72/3.94 Clause #39 (by superposition #[38, 10]): ∀ (a : Iota), Or (Eq (greater (time (skS.0 0 a)) time_limit) False) (Eq False True) % 3.72/3.94 Clause #40 (by clausification #[37]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (greater (depth a) depth_limit) False) % 3.72/3.94 Clause #41 (by superposition #[40, 10]): ∀ (a : Iota), Or (Eq (greater (depth (skS.0 0 a)) depth_limit) False) (Eq False True) % 3.72/3.94 Clause #42 (by clausification #[39]): ∀ (a : Iota), Eq (greater (time (skS.0 0 a)) time_limit) False % 3.72/3.94 Clause #43 (by clausification #[1]): ∀ (a : Iota), % 3.72/3.94 Eq % 3.72/3.94 (dive a → % 3.72/3.94 Iff (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) (greater (nitrogen a) nitrogen_limit)) % 3.72/3.94 True % 3.72/3.94 Clause #44 (by clausification #[43]): ∀ (a : Iota), % 3.72/3.94 Or (Eq (dive a) False) % 3.72/3.94 (Eq (Iff (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) (greater (nitrogen a) nitrogen_limit)) % 3.72/3.94 True) % 3.72/3.94 Clause #45 (by clausification #[44]): ∀ (a : Iota), % 3.72/3.94 Or (Eq (dive a) False) % 3.72/3.94 (Or (Eq (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) True) % 3.72/3.94 (Eq (greater (nitrogen a) nitrogen_limit) False)) % 3.72/3.94 Clause #47 (by clausification #[45]): ∀ (a : Iota), % 3.72/3.94 Or (Eq (dive a) False) % 3.72/3.94 (Or (Eq (greater (nitrogen a) nitrogen_limit) False) % 3.72/3.94 (Or (Eq (greater (depth a) depth_limit) True) (Eq (greater (time a) time_limit) True))) % 3.72/3.94 Clause #48 (by superposition #[47, 10]): ∀ (a : Iota), % 3.72/3.94 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) False) % 3.72/3.94 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) % 3.72/3.94 (Or (Eq (greater (time (skS.0 0 a)) time_limit) True) (Eq False True))) % 3.72/3.94 Clause #49 (by clausification #[41]): ∀ (a : Iota), Eq (greater (depth (skS.0 0 a)) depth_limit) False % 3.72/3.94 Clause #50 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (outcome (skS.0 0 a) a_1) False) (Or (Eq (bad a_1) False) (Eq a_1 dci)) % 3.72/3.94 Clause #51 (by superposition #[50, 14]): ∀ (a a_1 : Iota), Or (Eq (bad (skS.0 1 a a_1)) False) (Or (Eq (skS.0 1 a a_1) dci) (Eq False True)) % 3.72/3.94 Clause #54 (by clausification #[27]): ∀ (a : Iota), Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True) (Eq (outcome (skS.0 0 a) dci) False) % 3.72/3.94 Clause #56 (by clausification #[51]): ∀ (a a_1 : Iota), Or (Eq (bad (skS.0 1 a a_1)) False) (Eq (skS.0 1 a a_1) dci) % 3.72/3.94 Clause #57 (by superposition #[56, 32]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 a a_1) dci) (Eq False True) % 3.72/3.94 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) dci % 3.72/3.94 Clause #59 (by backward demodulation #[58, 14]): ∀ (a : Iota), Eq (outcome (skS.0 0 a) dci) True % 3.72/3.94 Clause #61 (by backward demodulation #[59, 54]): ∀ (a : Iota), Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True) (Eq True False) % 3.72/3.94 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True % 3.72/3.94 Clause #66 (by clausification #[48]): ∀ (a : Iota), % 3.72/3.94 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) False) % 3.72/3.94 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq (greater (time (skS.0 0 a)) time_limit) True)) % 3.72/3.94 Clause #67 (by forward demodulation #[66, 62]): ∀ (a : Iota), % 3.72/3.94 Or (Eq True False) % 3.72/3.94 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq (greater (time (skS.0 0 a)) time_limit) True)) % 3.72/3.94 Clause #68 (by clausification #[67]): ∀ (a : Iota), Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq (greater (time (skS.0 0 a)) time_limit) True) % 3.72/3.94 Clause #69 (by forward demodulation #[68, 42]): ∀ (a : Iota), Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq False True) % 3.72/3.94 Clause #70 (by clausification #[69]): ∀ (a : Iota), Eq (greater (depth (skS.0 0 a)) depth_limit) True % 3.72/3.94 Clause #71 (by superposition #[70, 49]): Eq True False % 3.72/3.94 Clause #72 (by clausification #[71]): False % 3.72/3.94 SZS output end Proof for theBenchmark.p %------------------------------------------------------------------------------