TSTP Solution File: KRS090+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 05:43:17 EDT 2023
% Result : Unsatisfiable 3.73s 3.94s
% Output : Proof 3.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS090+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 01:34:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.73/3.94 SZS status Theorem for theBenchmark.p
% 3.73/3.94 SZS output start Proof for theBenchmark.p
% 3.73/3.94 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cC2 X → And (Or (Not (cB X)) (cA X)) (Or (cB X) (cA X))) True
% 3.73/3.94 Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cC3 X → And (Or (Not (cB X)) (Not (cA X))) (Or (cB X) (Not (cA X)))) True
% 3.73/3.94 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), cC4 X → Exists fun Y => And (rR X Y) (cC2 Y)) True
% 3.73/3.94 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), cC5 X → ∀ (Y : Iota), rR X Y → cC3 Y) True
% 3.73/3.94 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), cTEST X → And (And (cC4 X) (cC1 X)) (cC5 X)) True
% 3.73/3.94 Clause #8 (by assumption #[]): Eq (cTEST i2003_11_14_17_19_57994) True
% 3.73/3.94 Clause #9 (by clausification #[6]): ∀ (a : Iota), Eq (cC5 a → ∀ (Y : Iota), rR a Y → cC3 Y) True
% 3.73/3.94 Clause #10 (by clausification #[9]): ∀ (a : Iota), Or (Eq (cC5 a) False) (Eq (∀ (Y : Iota), rR a Y → cC3 Y) True)
% 3.73/3.94 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cC5 a) False) (Eq (rR a a_1 → cC3 a_1) True)
% 3.73/3.94 Clause #12 (by clausification #[11]): ∀ (a a_1 : Iota), Or (Eq (cC5 a) False) (Or (Eq (rR a a_1) False) (Eq (cC3 a_1) True))
% 3.73/3.94 Clause #27 (by clausification #[7]): ∀ (a : Iota), Eq (cTEST a → And (And (cC4 a) (cC1 a)) (cC5 a)) True
% 3.73/3.94 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (And (And (cC4 a) (cC1 a)) (cC5 a)) True)
% 3.73/3.94 Clause #29 (by clausification #[28]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC5 a) True)
% 3.73/3.94 Clause #30 (by clausification #[28]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (And (cC4 a) (cC1 a)) True)
% 3.73/3.94 Clause #31 (by superposition #[29, 8]): Or (Eq (cC5 i2003_11_14_17_19_57994) True) (Eq False True)
% 3.73/3.94 Clause #32 (by clausification #[31]): Eq (cC5 i2003_11_14_17_19_57994) True
% 3.73/3.94 Clause #33 (by superposition #[32, 12]): ∀ (a : Iota), Or (Eq True False) (Or (Eq (rR i2003_11_14_17_19_57994 a) False) (Eq (cC3 a) True))
% 3.73/3.94 Clause #35 (by clausification #[30]): ∀ (a : Iota), Or (Eq (cTEST a) False) (Eq (cC4 a) True)
% 3.73/3.94 Clause #39 (by clausification #[3]): ∀ (a : Iota), Eq (cC2 a → And (Or (Not (cB a)) (cA a)) (Or (cB a) (cA a))) True
% 3.73/3.94 Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Eq (And (Or (Not (cB a)) (cA a)) (Or (cB a) (cA a))) True)
% 3.73/3.94 Clause #41 (by clausification #[40]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Eq (Or (cB a) (cA a)) True)
% 3.73/3.94 Clause #42 (by clausification #[40]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Eq (Or (Not (cB a)) (cA a)) True)
% 3.73/3.94 Clause #43 (by clausification #[41]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Or (Eq (cB a) True) (Eq (cA a) True))
% 3.73/3.94 Clause #44 (by superposition #[35, 8]): Or (Eq (cC4 i2003_11_14_17_19_57994) True) (Eq False True)
% 3.73/3.94 Clause #45 (by clausification #[44]): Eq (cC4 i2003_11_14_17_19_57994) True
% 3.73/3.94 Clause #47 (by clausification #[33]): ∀ (a : Iota), Or (Eq (rR i2003_11_14_17_19_57994 a) False) (Eq (cC3 a) True)
% 3.73/3.94 Clause #48 (by clausification #[42]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Or (Eq (Not (cB a)) True) (Eq (cA a) True))
% 3.73/3.94 Clause #49 (by clausification #[48]): ∀ (a : Iota), Or (Eq (cC2 a) False) (Or (Eq (cA a) True) (Eq (cB a) False))
% 3.73/3.94 Clause #50 (by clausification #[4]): ∀ (a : Iota), Eq (cC3 a → And (Or (Not (cB a)) (Not (cA a))) (Or (cB a) (Not (cA a)))) True
% 3.73/3.94 Clause #51 (by clausification #[50]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Eq (And (Or (Not (cB a)) (Not (cA a))) (Or (cB a) (Not (cA a)))) True)
% 3.73/3.94 Clause #52 (by clausification #[51]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Eq (Or (cB a) (Not (cA a))) True)
% 3.73/3.94 Clause #53 (by clausification #[51]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Eq (Or (Not (cB a)) (Not (cA a))) True)
% 3.73/3.94 Clause #54 (by clausification #[52]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Or (Eq (cB a) True) (Eq (Not (cA a)) True))
% 3.73/3.94 Clause #55 (by clausification #[54]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Or (Eq (cB a) True) (Eq (cA a) False))
% 3.73/3.94 Clause #56 (by clausification #[53]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Or (Eq (Not (cB a)) True) (Eq (Not (cA a)) True))
% 3.73/3.94 Clause #57 (by clausification #[56]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Or (Eq (Not (cA a)) True) (Eq (cB a) False))
% 3.80/3.96 Clause #58 (by clausification #[57]): ∀ (a : Iota), Or (Eq (cC3 a) False) (Or (Eq (cB a) False) (Eq (cA a) False))
% 3.80/3.96 Clause #59 (by clausification #[5]): ∀ (a : Iota), Eq (cC4 a → Exists fun Y => And (rR a Y) (cC2 Y)) True
% 3.80/3.96 Clause #60 (by clausification #[59]): ∀ (a : Iota), Or (Eq (cC4 a) False) (Eq (Exists fun Y => And (rR a Y) (cC2 Y)) True)
% 3.80/3.96 Clause #61 (by clausification #[60]): ∀ (a a_1 : Iota), Or (Eq (cC4 a) False) (Eq (And (rR a (skS.0 0 a a_1)) (cC2 (skS.0 0 a a_1))) True)
% 3.80/3.96 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota), Or (Eq (cC4 a) False) (Eq (cC2 (skS.0 0 a a_1)) True)
% 3.80/3.96 Clause #63 (by clausification #[61]): ∀ (a a_1 : Iota), Or (Eq (cC4 a) False) (Eq (rR a (skS.0 0 a a_1)) True)
% 3.80/3.96 Clause #64 (by superposition #[62, 45]): ∀ (a : Iota), Or (Eq (cC2 (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq False True)
% 3.80/3.96 Clause #65 (by clausification #[64]): ∀ (a : Iota), Eq (cC2 (skS.0 0 i2003_11_14_17_19_57994 a)) True
% 3.80/3.96 Clause #66 (by superposition #[65, 43]): ∀ (a : Iota),
% 3.80/3.96 Or (Eq True False)
% 3.80/3.96 (Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True))
% 3.80/3.96 Clause #67 (by superposition #[65, 49]): ∀ (a : Iota),
% 3.80/3.96 Or (Eq True False)
% 3.80/3.96 (Or (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) False))
% 3.80/3.96 Clause #68 (by superposition #[63, 45]): ∀ (a : Iota), Or (Eq (rR i2003_11_14_17_19_57994 (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq False True)
% 3.80/3.96 Clause #69 (by clausification #[68]): ∀ (a : Iota), Eq (rR i2003_11_14_17_19_57994 (skS.0 0 i2003_11_14_17_19_57994 a)) True
% 3.80/3.96 Clause #70 (by superposition #[69, 47]): ∀ (a : Iota), Or (Eq True False) (Eq (cC3 (skS.0 0 i2003_11_14_17_19_57994 a)) True)
% 3.80/3.96 Clause #76 (by clausification #[70]): ∀ (a : Iota), Eq (cC3 (skS.0 0 i2003_11_14_17_19_57994 a)) True
% 3.80/3.96 Clause #77 (by superposition #[76, 55]): ∀ (a : Iota),
% 3.80/3.96 Or (Eq True False)
% 3.80/3.96 (Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False))
% 3.80/3.96 Clause #78 (by superposition #[76, 58]): ∀ (a : Iota),
% 3.80/3.96 Or (Eq True False)
% 3.80/3.96 (Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) False) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False))
% 3.80/3.96 Clause #79 (by clausification #[66]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True)
% 3.80/3.96 Clause #80 (by clausification #[67]): ∀ (a : Iota), Or (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) False)
% 3.80/3.96 Clause #81 (by clausification #[78]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) False) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False)
% 3.80/3.96 Clause #87 (by clausification #[77]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False)
% 3.80/3.96 Clause #88 (by superposition #[87, 79]): ∀ (a : Iota),
% 3.80/3.96 Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True)
% 3.80/3.96 (Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq False True))
% 3.80/3.96 Clause #89 (by clausification #[88]): ∀ (a : Iota), Or (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True)
% 3.80/3.96 Clause #90 (by eliminate duplicate literals #[89]): ∀ (a : Iota), Eq (cB (skS.0 0 i2003_11_14_17_19_57994 a)) True
% 3.80/3.96 Clause #92 (by backward demodulation #[90, 80]): ∀ (a : Iota), Or (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True) (Eq True False)
% 3.80/3.96 Clause #93 (by backward demodulation #[90, 81]): ∀ (a : Iota), Or (Eq True False) (Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False)
% 3.80/3.96 Clause #95 (by clausification #[93]): ∀ (a : Iota), Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) False
% 3.80/3.96 Clause #101 (by clausification #[92]): ∀ (a : Iota), Eq (cA (skS.0 0 i2003_11_14_17_19_57994 a)) True
% 3.80/3.96 Clause #102 (by superposition #[101, 95]): Eq True False
% 3.80/3.96 Clause #103 (by clausification #[102]): False
% 3.80/3.96 SZS output end Proof for theBenchmark.p
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