TSTP Solution File: KRS088+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n021.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 3.79s 3.98s
% Output : Proof 3.79s
% 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 : KRS088+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 02:24:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.79/3.98 SZS status Theorem for theBenchmark.p
% 3.79/3.98 SZS output start Proof for theBenchmark.p
% 3.79/3.98 Clause #16 (by assumption #[]): Eq
% 3.79/3.98 (∀ (X : Iota),
% 3.79/3.98 Iff (cUnsatisfiable X)
% 3.79/3.98 (Exists fun Y =>
% 3.79/3.98 And (And (rf X Y) (∀ (Z : Iota), rinvF Y Z → Exists fun W => And (rf Z W) (Not (cp1 W)))) (cp1 Y)))
% 3.79/3.98 True
% 3.79/3.98 Clause #17 (by assumption #[]): Eq (∀ (X Y Z : Iota), And (rf X Y) (rf X Z) → Eq Y Z) True
% 3.79/3.98 Clause #18 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvF X Y) (rf Y X)) True
% 3.79/3.98 Clause #21 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_19_49673) True
% 3.79/3.98 Clause #124 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), And (rf a Y) (rf a Z) → Eq Y Z) True
% 3.79/3.98 Clause #125 (by clausification #[124]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), And (rf a a_1) (rf a Z) → Eq a_1 Z) True
% 3.79/3.98 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota), Eq (And (rf a a_1) (rf a a_2) → Eq a_1 a_2) True
% 3.79/3.98 Clause #127 (by clausification #[126]): ∀ (a a_1 a_2 : Iota), Or (Eq (And (rf a a_1) (rf a a_2)) False) (Eq (Eq a_1 a_2) True)
% 3.79/3.98 Clause #128 (by clausification #[127]): ∀ (a a_1 a_2 : Iota), Or (Eq (Eq a a_1) True) (Or (Eq (rf a_2 a) False) (Eq (rf a_2 a_1) False))
% 3.79/3.98 Clause #129 (by clausification #[128]): ∀ (a a_1 a_2 : Iota), Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2))
% 3.79/3.98 Clause #134 (by clausification #[16]): ∀ (a : Iota),
% 3.79/3.98 Eq
% 3.79/3.98 (Iff (cUnsatisfiable a)
% 3.79/3.98 (Exists fun Y =>
% 3.79/3.98 And (And (rf a Y) (∀ (Z : Iota), rinvF Y Z → Exists fun W => And (rf Z W) (Not (cp1 W)))) (cp1 Y)))
% 3.79/3.98 True
% 3.79/3.98 Clause #136 (by clausification #[134]): ∀ (a : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Eq
% 3.79/3.98 (Exists fun Y =>
% 3.79/3.98 And (And (rf a Y) (∀ (Z : Iota), rinvF Y Z → Exists fun W => And (rf Z W) (Not (cp1 W)))) (cp1 Y))
% 3.79/3.98 True)
% 3.79/3.98 Clause #144 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvF a Y) (rf Y a)) True
% 3.79/3.98 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Eq (Iff (rinvF a a_1) (rf a_1 a)) True
% 3.79/3.98 Clause #146 (by clausification #[145]): ∀ (a a_1 : Iota), Or (Eq (rinvF a a_1) True) (Eq (rf a_1 a) False)
% 3.79/3.98 Clause #148 (by clausification #[136]): ∀ (a a_1 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Eq
% 3.79/3.98 (And
% 3.79/3.98 (And (rf a (skS.0 1 a a_1))
% 3.79/3.98 (∀ (Z : Iota), rinvF (skS.0 1 a a_1) Z → Exists fun W => And (rf Z W) (Not (cp1 W))))
% 3.79/3.98 (cp1 (skS.0 1 a a_1)))
% 3.79/3.98 True)
% 3.79/3.98 Clause #149 (by clausification #[148]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 (skS.0 1 a a_1)) True)
% 3.79/3.98 Clause #150 (by clausification #[148]): ∀ (a a_1 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Eq
% 3.79/3.98 (And (rf a (skS.0 1 a a_1)) (∀ (Z : Iota), rinvF (skS.0 1 a a_1) Z → Exists fun W => And (rf Z W) (Not (cp1 W))))
% 3.79/3.98 True)
% 3.79/3.98 Clause #151 (by superposition #[149, 21]): ∀ (a : Iota), Or (Eq (cp1 (skS.0 1 i2003_11_14_17_19_49673 a)) True) (Eq False True)
% 3.79/3.98 Clause #152 (by clausification #[151]): ∀ (a : Iota), Eq (cp1 (skS.0 1 i2003_11_14_17_19_49673 a)) True
% 3.79/3.98 Clause #154 (by clausification #[150]): ∀ (a a_1 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Eq (∀ (Z : Iota), rinvF (skS.0 1 a a_1) Z → Exists fun W => And (rf Z W) (Not (cp1 W))) True)
% 3.79/3.98 Clause #155 (by clausification #[150]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rf a (skS.0 1 a a_1)) True)
% 3.79/3.98 Clause #156 (by clausification #[154]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False) (Eq (rinvF (skS.0 1 a a_1) a_2 → Exists fun W => And (rf a_2 W) (Not (cp1 W))) True)
% 3.79/3.98 Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Or (Eq (rinvF (skS.0 1 a a_1) a_2) False) (Eq (Exists fun W => And (rf a_2 W) (Not (cp1 W))) True))
% 3.79/3.98 Clause #158 (by clausification #[157]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False)
% 3.79/3.98 (Or (Eq (rinvF (skS.0 1 a a_1) a_2) False) (Eq (And (rf a_2 (skS.0 2 a_2 a_3)) (Not (cp1 (skS.0 2 a_2 a_3)))) True))
% 3.79/3.98 Clause #159 (by clausification #[158]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.79/3.98 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvF (skS.0 1 a a_1) a_2) False) (Eq (Not (cp1 (skS.0 2 a_2 a_3))) True))
% 3.79/3.99 Clause #160 (by clausification #[158]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.79/3.99 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvF (skS.0 1 a a_1) a_2) False) (Eq (rf a_2 (skS.0 2 a_2 a_3)) True))
% 3.79/3.99 Clause #161 (by clausification #[159]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.79/3.99 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvF (skS.0 1 a a_1) a_2) False) (Eq (cp1 (skS.0 2 a_2 a_3)) False))
% 3.79/3.99 Clause #162 (by superposition #[161, 21]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.99 Or (Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) a_1) False) (Or (Eq (cp1 (skS.0 2 a_1 a_2)) False) (Eq False True))
% 3.79/3.99 Clause #167 (by superposition #[155, 21]): ∀ (a : Iota), Or (Eq (rf i2003_11_14_17_19_49673 (skS.0 1 i2003_11_14_17_19_49673 a)) True) (Eq False True)
% 3.79/3.99 Clause #168 (by clausification #[167]): ∀ (a : Iota), Eq (rf i2003_11_14_17_19_49673 (skS.0 1 i2003_11_14_17_19_49673 a)) True
% 3.79/3.99 Clause #170 (by superposition #[168, 146]): ∀ (a : Iota), Or (Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) i2003_11_14_17_19_49673) True) (Eq True False)
% 3.79/3.99 Clause #171 (by clausification #[170]): ∀ (a : Iota), Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) i2003_11_14_17_19_49673) True
% 3.79/3.99 Clause #178 (by clausification #[162]): ∀ (a a_1 a_2 : Iota), Or (Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) a_1) False) (Eq (cp1 (skS.0 2 a_1 a_2)) False)
% 3.79/3.99 Clause #179 (by superposition #[178, 171]): ∀ (a : Iota), Or (Eq (cp1 (skS.0 2 i2003_11_14_17_19_49673 a)) False) (Eq False True)
% 3.79/3.99 Clause #180 (by clausification #[179]): ∀ (a : Iota), Eq (cp1 (skS.0 2 i2003_11_14_17_19_49673 a)) False
% 3.79/3.99 Clause #181 (by superposition #[160, 21]): ∀ (a a_1 a_2 : Iota),
% 3.79/3.99 Or (Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) a_1) False)
% 3.79/3.99 (Or (Eq (rf a_1 (skS.0 2 a_1 a_2)) True) (Eq False True))
% 3.79/3.99 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 : Iota), Or (Eq (rinvF (skS.0 1 i2003_11_14_17_19_49673 a) a_1) False) (Eq (rf a_1 (skS.0 2 a_1 a_2)) True)
% 3.79/3.99 Clause #183 (by superposition #[182, 171]): ∀ (a : Iota), Or (Eq (rf i2003_11_14_17_19_49673 (skS.0 2 i2003_11_14_17_19_49673 a)) True) (Eq False True)
% 3.79/3.99 Clause #186 (by clausification #[183]): ∀ (a : Iota), Eq (rf i2003_11_14_17_19_49673 (skS.0 2 i2003_11_14_17_19_49673 a)) True
% 3.79/3.99 Clause #188 (by superposition #[186, 129]): ∀ (a a_1 : Iota),
% 3.79/3.99 Or (Eq True False) (Or (Eq (rf i2003_11_14_17_19_49673 a) False) (Eq (skS.0 2 i2003_11_14_17_19_49673 a_1) a))
% 3.79/3.99 Clause #192 (by clausification #[188]): ∀ (a a_1 : Iota), Or (Eq (rf i2003_11_14_17_19_49673 a) False) (Eq (skS.0 2 i2003_11_14_17_19_49673 a_1) a)
% 3.79/3.99 Clause #193 (by superposition #[192, 168]): ∀ (a a_1 : Iota), Or (Eq (skS.0 2 i2003_11_14_17_19_49673 a) (skS.0 1 i2003_11_14_17_19_49673 a_1)) (Eq False True)
% 3.79/3.99 Clause #195 (by clausification #[193]): ∀ (a a_1 : Iota), Eq (skS.0 2 i2003_11_14_17_19_49673 a) (skS.0 1 i2003_11_14_17_19_49673 a_1)
% 3.79/3.99 Clause #197 (by superposition #[195, 152]): ∀ (a : Iota), Eq (cp1 (skS.0 2 i2003_11_14_17_19_49673 a)) True
% 3.79/3.99 Clause #206 (by superposition #[197, 180]): Eq True False
% 3.79/3.99 Clause #209 (by clausification #[206]): False
% 3.79/3.99 SZS output end Proof for theBenchmark.p
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