TSTP Solution File: KRS095+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 05:43:18 EDT 2023
% Result : Unsatisfiable 3.50s 3.70s
% Output : Proof 3.50s
% 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 : KRS095+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n022.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 01:05:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.50/3.70 SZS status Theorem for theBenchmark.p
% 3.50/3.70 SZS output start Proof for theBenchmark.p
% 3.50/3.70 Clause #11 (by assumption #[]): Eq
% 3.50/3.70 (∀ (X : Iota),
% 3.50/3.70 Iff (cUnsatisfiable X)
% 3.50/3.70 (And (Exists fun Y0 => Exists fun Y1 => And (And (rr X Y0) (rr X Y1)) (Ne Y0 Y1))
% 3.50/3.70 (∀ (Y0 Y1 : Iota), And (rr X Y0) (rr X Y1) → Eq Y0 Y1)))
% 3.50/3.70 True
% 3.50/3.70 Clause #13 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_14253) True
% 3.50/3.70 Clause #83 (by clausification #[11]): ∀ (a : Iota),
% 3.50/3.70 Eq
% 3.50/3.70 (Iff (cUnsatisfiable a)
% 3.50/3.70 (And (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))
% 3.50/3.70 (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1)))
% 3.50/3.70 True
% 3.50/3.70 Clause #85 (by clausification #[83]): ∀ (a : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False)
% 3.50/3.70 (Eq
% 3.50/3.70 (And (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))
% 3.50/3.70 (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1))
% 3.50/3.70 True)
% 3.50/3.70 Clause #100 (by clausification #[85]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1) True)
% 3.50/3.70 Clause #101 (by clausification #[85]): ∀ (a : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False)
% 3.50/3.70 (Eq (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1)) True)
% 3.50/3.70 Clause #102 (by clausification #[100]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y1 : Iota), And (rr a a_1) (rr a Y1) → Eq a_1 Y1) True)
% 3.50/3.70 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a a_1) (rr a a_2) → Eq a_1 a_2) True)
% 3.50/3.70 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (rr a a_1) (rr a a_2)) False) (Eq (Eq a_1 a_2) True))
% 3.50/3.70 Clause #105 (by clausification #[104]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rr a a_1) False) (Eq (rr a a_2) False)))
% 3.50/3.70 Clause #106 (by clausification #[105]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Or (Eq (rr a a_2) False) (Eq a_1 a_2)))
% 3.50/3.70 Clause #107 (by superposition #[106, 13]): ∀ (a a_1 : Iota),
% 3.50/3.70 Or (Eq (rr i2003_11_14_17_20_14253 a) False)
% 3.50/3.70 (Or (Eq (rr i2003_11_14_17_20_14253 a_1) False) (Or (Eq a a_1) (Eq False True)))
% 3.50/3.70 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota),
% 3.50/3.70 Or (Eq (rr i2003_11_14_17_20_14253 a) False) (Or (Eq (rr i2003_11_14_17_20_14253 a_1) False) (Eq a a_1))
% 3.50/3.70 Clause #109 (by clausification #[101]): ∀ (a a_1 : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False)
% 3.50/3.70 (Eq (Exists fun Y1 => And (And (rr a (skS.0 2 a a_1)) (rr a Y1)) (Ne (skS.0 2 a a_1) Y1)) True)
% 3.50/3.70 Clause #110 (by clausification #[109]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.70 Or (Eq (cUnsatisfiable a) False)
% 3.50/3.70 (Eq (And (And (rr a (skS.0 2 a a_1)) (rr a (skS.0 3 a a_1 a_2))) (Ne (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))) True)
% 3.50/3.70 Clause #111 (by clausification #[110]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Ne (skS.0 2 a a_1) (skS.0 3 a a_1 a_2)) True)
% 3.50/3.70 Clause #112 (by clausification #[110]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 2 a a_1)) (rr a (skS.0 3 a a_1 a_2))) True)
% 3.50/3.70 Clause #113 (by clausification #[111]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Ne (skS.0 2 a a_1) (skS.0 3 a a_1 a_2))
% 3.50/3.70 Clause #114 (by superposition #[113, 13]): ∀ (a a_1 : Iota), Or (Ne (skS.0 2 i2003_11_14_17_20_14253 a) (skS.0 3 i2003_11_14_17_20_14253 a a_1)) (Eq False True)
% 3.50/3.70 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Ne (skS.0 2 i2003_11_14_17_20_14253 a) (skS.0 3 i2003_11_14_17_20_14253 a a_1)
% 3.50/3.70 Clause #116 (by clausification #[112]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 3 a a_1 a_2)) True)
% 3.50/3.70 Clause #117 (by clausification #[112]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 2 a a_1)) True)
% 3.50/3.70 Clause #118 (by superposition #[116, 13]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_14253 (skS.0 3 i2003_11_14_17_20_14253 a a_1)) True) (Eq False True)
% 3.50/3.70 Clause #120 (by superposition #[117, 13]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_14253 (skS.0 2 i2003_11_14_17_20_14253 a)) True) (Eq False True)
% 3.50/3.71 Clause #121 (by clausification #[120]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_14253 (skS.0 2 i2003_11_14_17_20_14253 a)) True
% 3.50/3.71 Clause #122 (by superposition #[121, 108]): ∀ (a a_1 : Iota),
% 3.50/3.71 Or (Eq True False) (Or (Eq (rr i2003_11_14_17_20_14253 a) False) (Eq (skS.0 2 i2003_11_14_17_20_14253 a_1) a))
% 3.50/3.71 Clause #126 (by clausification #[118]): ∀ (a a_1 : Iota), Eq (rr i2003_11_14_17_20_14253 (skS.0 3 i2003_11_14_17_20_14253 a a_1)) True
% 3.50/3.71 Clause #131 (by clausification #[122]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_14253 a) False) (Eq (skS.0 2 i2003_11_14_17_20_14253 a_1) a)
% 3.50/3.71 Clause #133 (by superposition #[131, 126]): ∀ (a a_1 a_2 : Iota),
% 3.50/3.71 Or (Eq (skS.0 2 i2003_11_14_17_20_14253 a) (skS.0 3 i2003_11_14_17_20_14253 a_1 a_2)) (Eq False True)
% 3.50/3.71 Clause #140 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 2 i2003_11_14_17_20_14253 a) (skS.0 3 i2003_11_14_17_20_14253 a_1 a_2)
% 3.50/3.71 Clause #141 (by backward contextual literal cutting #[140, 115]): False
% 3.50/3.71 SZS output end Proof for theBenchmark.p
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