TSTP Solution File: MSC017+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n019.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 09:21:55 EDT 2023
% Result : Theorem 3.74s 3.92s
% Output : Proof 3.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.36 % Computer : n019.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 Aug 24 13:49:28 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.74/3.92 SZS status Theorem for theBenchmark.p
% 3.74/3.92 SZS output start Proof for theBenchmark.p
% 3.74/3.92 Clause #1 (by assumption #[]): Eq
% 3.74/3.92 (∀ (D : Iota),
% 3.74/3.92 dive D →
% 3.74/3.92 Iff (Or (greater (depth D) depth_limit) (greater (time D) time_limit)) (greater (nitrogen D) nitrogen_limit))
% 3.74/3.92 True
% 3.74/3.92 Clause #2 (by assumption #[]): Eq (∀ (D : Iota), dive D → Iff (greater (nitrogen D) nitrogen_limit) (outcome D dci)) True
% 3.74/3.92 Clause #4 (by assumption #[]): Eq (∀ (D : Iota), dive D → ∀ (O : Iota), And (outcome D O) (bad O) → Eq O dci) True
% 3.74/3.92 Clause #5 (by assumption #[]): Eq (∀ (D : Iota), dive D → And (Not (greater (depth D) depth_limit)) (Not (greater (time D) time_limit))) True
% 3.74/3.92 Clause #6 (by assumption #[]): Eq (Not (∀ (D : Iota), dive D → ∀ (O : Iota), outcome D O → Not (bad O))) True
% 3.74/3.92 Clause #7 (by clausification #[6]): Eq (∀ (D : Iota), dive D → ∀ (O : Iota), outcome D O → Not (bad O)) False
% 3.74/3.92 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
% 3.74/3.92 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
% 3.74/3.92 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (dive (skS.0 0 a)) True
% 3.74/3.92 Clause #11 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (O : Iota), outcome (skS.0 0 a) O → Not (bad O)) False
% 3.74/3.92 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
% 3.74/3.92 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
% 3.74/3.92 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (outcome (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.74/3.92 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Not (bad (skS.0 1 a a_1))) False
% 3.74/3.92 Clause #16 (by clausification #[4]): ∀ (a : Iota), Eq (dive a → ∀ (O : Iota), And (outcome a O) (bad O) → Eq O dci) True
% 3.74/3.92 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)
% 3.74/3.92 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)
% 3.74/3.92 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))
% 3.74/3.92 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota),
% 3.74/3.92 Or (Eq (dive a) False) (Or (Eq (Eq a_1 dci) True) (Or (Eq (outcome a a_1) False) (Eq (bad a_1) False)))
% 3.74/3.92 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)))
% 3.74/3.92 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)))
% 3.74/3.92 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (dive a → Iff (greater (nitrogen a) nitrogen_limit) (outcome a dci)) True
% 3.74/3.92 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Iff (greater (nitrogen a) nitrogen_limit) (outcome a dci)) True)
% 3.74/3.92 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))
% 3.74/3.92 Clause #27 (by superposition #[25, 10]): ∀ (a : Iota),
% 3.74/3.92 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True) (Or (Eq (outcome (skS.0 0 a) dci) False) (Eq False True))
% 3.74/3.92 Clause #32 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (bad (skS.0 1 a a_1)) True
% 3.74/3.92 Clause #34 (by clausification #[5]): ∀ (a : Iota), Eq (dive a → And (Not (greater (depth a) depth_limit)) (Not (greater (time a) time_limit))) True
% 3.74/3.92 Clause #35 (by clausification #[34]): ∀ (a : Iota),
% 3.74/3.92 Or (Eq (dive a) False) (Eq (And (Not (greater (depth a) depth_limit)) (Not (greater (time a) time_limit))) True)
% 3.74/3.92 Clause #36 (by clausification #[35]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Not (greater (time a) time_limit)) True)
% 3.74/3.92 Clause #37 (by clausification #[35]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (Not (greater (depth a) depth_limit)) True)
% 3.74/3.95 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (greater (time a) time_limit) False)
% 3.74/3.95 Clause #39 (by superposition #[38, 10]): ∀ (a : Iota), Or (Eq (greater (time (skS.0 0 a)) time_limit) False) (Eq False True)
% 3.74/3.95 Clause #40 (by clausification #[37]): ∀ (a : Iota), Or (Eq (dive a) False) (Eq (greater (depth a) depth_limit) False)
% 3.74/3.95 Clause #41 (by superposition #[40, 10]): ∀ (a : Iota), Or (Eq (greater (depth (skS.0 0 a)) depth_limit) False) (Eq False True)
% 3.74/3.95 Clause #42 (by clausification #[39]): ∀ (a : Iota), Eq (greater (time (skS.0 0 a)) time_limit) False
% 3.74/3.95 Clause #43 (by clausification #[1]): ∀ (a : Iota),
% 3.74/3.95 Eq
% 3.74/3.95 (dive a →
% 3.74/3.95 Iff (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) (greater (nitrogen a) nitrogen_limit))
% 3.74/3.95 True
% 3.74/3.95 Clause #44 (by clausification #[43]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq (dive a) False)
% 3.74/3.95 (Eq (Iff (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) (greater (nitrogen a) nitrogen_limit))
% 3.74/3.95 True)
% 3.74/3.95 Clause #45 (by clausification #[44]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq (dive a) False)
% 3.74/3.95 (Or (Eq (Or (greater (depth a) depth_limit) (greater (time a) time_limit)) True)
% 3.74/3.95 (Eq (greater (nitrogen a) nitrogen_limit) False))
% 3.74/3.95 Clause #47 (by clausification #[45]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq (dive a) False)
% 3.74/3.95 (Or (Eq (greater (nitrogen a) nitrogen_limit) False)
% 3.74/3.95 (Or (Eq (greater (depth a) depth_limit) True) (Eq (greater (time a) time_limit) True)))
% 3.74/3.95 Clause #48 (by superposition #[47, 10]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) False)
% 3.74/3.95 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True)
% 3.74/3.95 (Or (Eq (greater (time (skS.0 0 a)) time_limit) True) (Eq False True)))
% 3.74/3.95 Clause #49 (by clausification #[41]): ∀ (a : Iota), Eq (greater (depth (skS.0 0 a)) depth_limit) False
% 3.74/3.95 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))
% 3.74/3.95 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))
% 3.74/3.95 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)
% 3.74/3.95 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)
% 3.74/3.95 Clause #57 (by superposition #[56, 32]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 a a_1) dci) (Eq False True)
% 3.74/3.95 Clause #58 (by clausification #[57]): ∀ (a a_1 : Iota), Eq (skS.0 1 a a_1) dci
% 3.74/3.95 Clause #59 (by backward demodulation #[58, 14]): ∀ (a : Iota), Eq (outcome (skS.0 0 a) dci) True
% 3.74/3.95 Clause #61 (by backward demodulation #[59, 54]): ∀ (a : Iota), Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True) (Eq True False)
% 3.74/3.95 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) True
% 3.74/3.95 Clause #66 (by clausification #[48]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq (greater (nitrogen (skS.0 0 a)) nitrogen_limit) False)
% 3.74/3.95 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq (greater (time (skS.0 0 a)) time_limit) True))
% 3.74/3.95 Clause #67 (by forward demodulation #[66, 62]): ∀ (a : Iota),
% 3.74/3.95 Or (Eq True False)
% 3.74/3.95 (Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq (greater (time (skS.0 0 a)) time_limit) True))
% 3.74/3.95 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)
% 3.74/3.95 Clause #69 (by forward demodulation #[68, 42]): ∀ (a : Iota), Or (Eq (greater (depth (skS.0 0 a)) depth_limit) True) (Eq False True)
% 3.74/3.95 Clause #70 (by clausification #[69]): ∀ (a : Iota), Eq (greater (depth (skS.0 0 a)) depth_limit) True
% 3.74/3.95 Clause #71 (by superposition #[70, 49]): Eq True False
% 3.74/3.95 Clause #72 (by clausification #[71]): False
% 3.74/3.95 SZS output end Proof for theBenchmark.p
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