TSTP Solution File: KRS085+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS085+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 05:43:16 EDT 2023
% Result : Unsatisfiable 3.77s 3.92s
% Output : Proof 3.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS085+1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % 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 01:20:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.77/3.92 SZS status Theorem for theBenchmark.p
% 3.77/3.92 SZS output start Proof for theBenchmark.p
% 3.77/3.92 Clause #16 (by assumption #[]): Eq
% 3.77/3.92 (∀ (X : Iota),
% 3.77/3.92 Iff (cUnsatisfiable X)
% 3.77/3.92 (And
% 3.77/3.92 (Exists fun Y =>
% 3.77/3.92 And (rr X Y) (Exists fun Z => And (And (rr Y Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))))
% 3.77/3.92 (cp1 X)))
% 3.77/3.92 True
% 3.77/3.92 Clause #19 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvR X Y) (rr Y X)) True
% 3.77/3.92 Clause #20 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (rr X Y) (rr Y Z) → rr X Z) True
% 3.77/3.92 Clause #21 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_19_39537) True
% 3.77/3.92 Clause #58 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (rr a Y) (rr Y Z) → rr a Z) True
% 3.77/3.92 Clause #59 (by clausification #[58]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (rr a a_1) (rr a_1 Z) → rr a Z) True
% 3.77/3.92 Clause #60 (by clausification #[59]): ∀ (a a_1 a_2 : Iota), Eq (And (rr a a_1) (rr a_1 a_2) → rr a a_2) True
% 3.77/3.92 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (rr a a_1) (rr a_1 a_2)) False) (Eq (rr a a_2) True)
% 3.77/3.92 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), Or (Eq (rr a a_1) True) (Or (Eq (rr a a_2) False) (Eq (rr a_2 a_1) False))
% 3.77/3.92 Clause #124 (by clausification #[19]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvR a Y) (rr Y a)) True
% 3.77/3.92 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota), Eq (Iff (rinvR a a_1) (rr a_1 a)) True
% 3.77/3.92 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Or (Eq (rinvR a a_1) True) (Eq (rr a_1 a) False)
% 3.77/3.92 Clause #132 (by clausification #[16]): ∀ (a : Iota),
% 3.77/3.92 Eq
% 3.77/3.92 (Iff (cUnsatisfiable a)
% 3.77/3.92 (And
% 3.77/3.92 (Exists fun Y =>
% 3.77/3.92 And (rr a Y) (Exists fun Z => And (And (rr Y Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))))
% 3.77/3.92 (cp1 a)))
% 3.77/3.92 True
% 3.77/3.92 Clause #134 (by clausification #[132]): ∀ (a : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.77/3.92 (Eq
% 3.77/3.92 (And
% 3.77/3.92 (Exists fun Y =>
% 3.77/3.92 And (rr a Y) (Exists fun Z => And (And (rr Y Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))))
% 3.77/3.92 (cp1 a))
% 3.77/3.92 True)
% 3.77/3.92 Clause #155 (by clausification #[134]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 a) True)
% 3.77/3.92 Clause #156 (by clausification #[134]): ∀ (a : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.77/3.92 (Eq
% 3.77/3.92 (Exists fun Y =>
% 3.77/3.92 And (rr a Y) (Exists fun Z => And (And (rr Y Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))))
% 3.77/3.92 True)
% 3.77/3.92 Clause #157 (by superposition #[155, 21]): Or (Eq (cp1 i2003_11_14_17_19_39537) True) (Eq False True)
% 3.77/3.92 Clause #158 (by clausification #[157]): Eq (cp1 i2003_11_14_17_19_39537) True
% 3.77/3.92 Clause #161 (by clausification #[156]): ∀ (a a_1 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.77/3.92 (Eq
% 3.77/3.92 (And (rr a (skS.0 1 a a_1))
% 3.77/3.92 (Exists fun Z => And (And (rr (skS.0 1 a a_1) Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))))
% 3.77/3.92 True)
% 3.77/3.92 Clause #162 (by clausification #[161]): ∀ (a a_1 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.77/3.92 (Eq (Exists fun Z => And (And (rr (skS.0 1 a a_1) Z) (cp1 Z)) (∀ (W : Iota), rinvR Z W → Not (cp1 W))) True)
% 3.77/3.92 Clause #163 (by clausification #[161]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 1 a a_1)) True)
% 3.77/3.92 Clause #164 (by clausification #[162]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.77/3.92 (Eq
% 3.77/3.92 (And (And (rr (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (cp1 (skS.0 2 a a_1 a_2)))
% 3.77/3.92 (∀ (W : Iota), rinvR (skS.0 2 a a_1 a_2) W → Not (cp1 W)))
% 3.77/3.92 True)
% 3.77/3.92 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False) (Eq (∀ (W : Iota), rinvR (skS.0 2 a a_1 a_2) W → Not (cp1 W)) True)
% 3.77/3.92 Clause #166 (by clausification #[164]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False) (Eq (And (rr (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) (cp1 (skS.0 2 a a_1 a_2))) True)
% 3.77/3.92 Clause #167 (by clausification #[165]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rinvR (skS.0 2 a a_1 a_2) a_3 → Not (cp1 a_3)) True)
% 3.77/3.92 Clause #168 (by clausification #[167]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.92 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvR (skS.0 2 a a_1 a_2) a_3) False) (Eq (Not (cp1 a_3)) True))
% 3.77/3.93 Clause #169 (by clausification #[168]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.77/3.93 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvR (skS.0 2 a a_1 a_2) a_3) False) (Eq (cp1 a_3) False))
% 3.77/3.93 Clause #170 (by superposition #[169, 21]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.93 Or (Eq (rinvR (skS.0 2 i2003_11_14_17_19_39537 a a_1) a_2) False) (Or (Eq (cp1 a_2) False) (Eq False True))
% 3.77/3.93 Clause #171 (by superposition #[163, 21]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_19_39537 (skS.0 1 i2003_11_14_17_19_39537 a)) True) (Eq False True)
% 3.77/3.93 Clause #172 (by clausification #[171]): ∀ (a : Iota), Eq (rr i2003_11_14_17_19_39537 (skS.0 1 i2003_11_14_17_19_39537 a)) True
% 3.77/3.93 Clause #173 (by superposition #[172, 62]): ∀ (a a_1 : Iota),
% 3.77/3.93 Or (Eq (rr i2003_11_14_17_19_39537 a) True)
% 3.77/3.93 (Or (Eq True False) (Eq (rr (skS.0 1 i2003_11_14_17_19_39537 a_1) a) False))
% 3.77/3.93 Clause #177 (by clausification #[173]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_19_39537 a) True) (Eq (rr (skS.0 1 i2003_11_14_17_19_39537 a_1) a) False)
% 3.77/3.93 Clause #180 (by clausification #[170]): ∀ (a a_1 a_2 : Iota), Or (Eq (rinvR (skS.0 2 i2003_11_14_17_19_39537 a a_1) a_2) False) (Eq (cp1 a_2) False)
% 3.77/3.93 Clause #184 (by clausification #[166]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 3.77/3.93 Clause #189 (by superposition #[184, 21]): ∀ (a a_1 : Iota),
% 3.77/3.93 Or (Eq (rr (skS.0 1 i2003_11_14_17_19_39537 a) (skS.0 2 i2003_11_14_17_19_39537 a a_1)) True) (Eq False True)
% 3.77/3.93 Clause #191 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (rr (skS.0 1 i2003_11_14_17_19_39537 a) (skS.0 2 i2003_11_14_17_19_39537 a a_1)) True
% 3.77/3.93 Clause #192 (by superposition #[191, 177]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_19_39537 (skS.0 2 i2003_11_14_17_19_39537 a a_1)) True) (Eq True False)
% 3.77/3.93 Clause #195 (by clausification #[192]): ∀ (a a_1 : Iota), Eq (rr i2003_11_14_17_19_39537 (skS.0 2 i2003_11_14_17_19_39537 a a_1)) True
% 3.77/3.93 Clause #197 (by superposition #[195, 126]): ∀ (a a_1 : Iota), Or (Eq (rinvR (skS.0 2 i2003_11_14_17_19_39537 a a_1) i2003_11_14_17_19_39537) True) (Eq True False)
% 3.77/3.93 Clause #198 (by clausification #[197]): ∀ (a a_1 : Iota), Eq (rinvR (skS.0 2 i2003_11_14_17_19_39537 a a_1) i2003_11_14_17_19_39537) True
% 3.77/3.93 Clause #199 (by superposition #[198, 180]): Or (Eq True False) (Eq (cp1 i2003_11_14_17_19_39537) False)
% 3.77/3.93 Clause #201 (by clausification #[199]): Eq (cp1 i2003_11_14_17_19_39537) False
% 3.77/3.93 Clause #202 (by superposition #[201, 158]): Eq False True
% 3.77/3.93 Clause #203 (by clausification #[202]): False
% 3.77/3.93 SZS output end Proof for theBenchmark.p
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