TSTP Solution File: KRS067+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 05:43:13 EDT 2023
% Result : Unsatisfiable 3.45s 3.62s
% Output : Proof 3.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS067+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:19:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.45/3.62 SZS status Theorem for theBenchmark.p
% 3.45/3.62 SZS output start Proof for theBenchmark.p
% 3.45/3.62 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (Or (Or (And (cc X) (cb X)) (And (cb X) (ca X))) (And (cc X) (ca X)))) True
% 3.45/3.62 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), ca X → Not (Or (cc X) (cb X))) True
% 3.45/3.62 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cb X → Not (cc X)) True
% 3.45/3.62 Clause #5 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_1956) True
% 3.45/3.62 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (cb a → Not (cc a)) True
% 3.45/3.62 Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (Not (cc a)) True)
% 3.45/3.62 Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (cb a) False) (Eq (cc a) False)
% 3.45/3.62 Clause #20 (by clausification #[3]): ∀ (a : Iota), Eq (ca a → Not (Or (cc a) (cb a))) True
% 3.45/3.62 Clause #21 (by clausification #[20]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (Not (Or (cc a) (cb a))) True)
% 3.45/3.62 Clause #22 (by clausification #[21]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (Or (cc a) (cb a)) False)
% 3.45/3.62 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (cb a) False)
% 3.45/3.62 Clause #24 (by clausification #[22]): ∀ (a : Iota), Or (Eq (ca a) False) (Eq (cc a) False)
% 3.45/3.62 Clause #25 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (Or (Or (And (cc a) (cb a)) (And (cb a) (ca a))) (And (cc a) (ca a)))) True
% 3.45/3.62 Clause #27 (by clausification #[25]): ∀ (a : Iota),
% 3.45/3.62 Or (Eq (cUnsatisfiable a) False) (Eq (Or (Or (And (cc a) (cb a)) (And (cb a) (ca a))) (And (cc a) (ca a))) True)
% 3.45/3.62 Clause #34 (by clausification #[27]): ∀ (a : Iota),
% 3.45/3.62 Or (Eq (cUnsatisfiable a) False)
% 3.45/3.62 (Or (Eq (Or (And (cc a) (cb a)) (And (cb a) (ca a))) True) (Eq (And (cc a) (ca a)) True))
% 3.45/3.62 Clause #35 (by clausification #[34]): ∀ (a : Iota),
% 3.45/3.62 Or (Eq (cUnsatisfiable a) False)
% 3.45/3.62 (Or (Eq (And (cc a) (ca a)) True) (Or (Eq (And (cc a) (cb a)) True) (Eq (And (cb a) (ca a)) True)))
% 3.45/3.62 Clause #36 (by clausification #[35]): ∀ (a : Iota),
% 3.45/3.62 Or (Eq (cUnsatisfiable a) False)
% 3.45/3.62 (Or (Eq (And (cc a) (cb a)) True) (Or (Eq (And (cb a) (ca a)) True) (Eq (ca a) True)))
% 3.45/3.62 Clause #37 (by clausification #[35]): ∀ (a : Iota),
% 3.45/3.62 Or (Eq (cUnsatisfiable a) False)
% 3.45/3.62 (Or (Eq (And (cc a) (cb a)) True) (Or (Eq (And (cb a) (ca a)) True) (Eq (cc a) True)))
% 3.45/3.62 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (ca a) True) (Eq (cb a) True)))
% 3.45/3.62 Clause #39 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (ca a) True) (Eq (cc a) True)))
% 3.45/3.62 Clause #40 (by clausification #[38]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Or (Eq (cb a) True) (Eq (ca a) True)))
% 3.45/3.62 Clause #42 (by eliminate duplicate literals #[40]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Eq (cb a) True))
% 3.45/3.62 Clause #43 (by superposition #[42, 5]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq False True))
% 3.45/3.62 Clause #44 (by clausification #[43]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True)
% 3.45/3.62 Clause #46 (by superposition #[44, 24]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Or (Eq True False) (Eq (cc i2003_11_14_17_18_1956) False))
% 3.45/3.62 Clause #47 (by clausification #[46]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq (cc i2003_11_14_17_18_1956) False)
% 3.45/3.62 Clause #50 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (cb a) (ca a)) True) (Or (Eq (cc a) True) (Eq (cb a) True)))
% 3.45/3.62 Clause #53 (by clausification #[50]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (cc a) True) (Or (Eq (cb a) True) (Eq (cb a) True)))
% 3.45/3.62 Clause #54 (by eliminate duplicate literals #[53]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (cc a) True) (Eq (cb a) True))
% 3.45/3.62 Clause #55 (by superposition #[54, 5]): Or (Eq (cc i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq False True))
% 3.45/3.62 Clause #56 (by clausification #[55]): Or (Eq (cc i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True)
% 3.45/3.63 Clause #57 (by superposition #[56, 47]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq True False))
% 3.45/3.63 Clause #58 (by clausification #[57]): Or (Eq (cb i2003_11_14_17_18_1956) True) (Eq (cb i2003_11_14_17_18_1956) True)
% 3.45/3.63 Clause #59 (by eliminate duplicate literals #[58]): Eq (cb i2003_11_14_17_18_1956) True
% 3.45/3.63 Clause #63 (by superposition #[59, 8]): Or (Eq True False) (Eq (cc i2003_11_14_17_18_1956) False)
% 3.45/3.63 Clause #64 (by clausification #[63]): Eq (cc i2003_11_14_17_18_1956) False
% 3.45/3.63 Clause #65 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Or (Eq (cc a) True) (Eq (ca a) True)))
% 3.45/3.63 Clause #67 (by eliminate duplicate literals #[65]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (ca a) True) (Eq (cc a) True))
% 3.45/3.63 Clause #68 (by superposition #[67, 5]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Or (Eq (cc i2003_11_14_17_18_1956) True) (Eq False True))
% 3.45/3.63 Clause #69 (by clausification #[68]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq (cc i2003_11_14_17_18_1956) True)
% 3.45/3.63 Clause #70 (by forward demodulation #[69, 64]): Or (Eq (ca i2003_11_14_17_18_1956) True) (Eq False True)
% 3.45/3.63 Clause #71 (by clausification #[70]): Eq (ca i2003_11_14_17_18_1956) True
% 3.45/3.63 Clause #72 (by superposition #[71, 23]): Or (Eq True False) (Eq (cb i2003_11_14_17_18_1956) False)
% 3.45/3.63 Clause #73 (by clausification #[72]): Eq (cb i2003_11_14_17_18_1956) False
% 3.45/3.63 Clause #74 (by superposition #[73, 59]): Eq False True
% 3.45/3.63 Clause #75 (by clausification #[74]): False
% 3.45/3.63 SZS output end Proof for theBenchmark.p
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