TSTP Solution File: KRS086+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n028.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 3.74s 3.90s
% Output : Proof 3.74s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS086+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.34 % Computer : n028.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 02:35:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.74/3.90 SZS status Theorem for theBenchmark.p
% 3.74/3.90 SZS output start Proof for theBenchmark.p
% 3.74/3.90 Clause #14 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.74/3.90 Clause #16 (by assumption #[]): Eq
% 3.74/3.90 (∀ (X : Iota),
% 3.74/3.90 Iff (cUnsatisfiable X)
% 3.74/3.90 (Exists fun Y =>
% 3.74/3.90 And (And (rf X Y) (Exists fun Z => And (rinvF Y Z) (Exists fun W => And (rf Z W) (Not (cp1 W))))) (cp1 Y)))
% 3.74/3.90 True
% 3.74/3.90 Clause #17 (by assumption #[]): Eq (∀ (X : Iota), cowlThing X → ∀ (Y0 Y1 : Iota), And (rf X Y0) (rf X Y1) → Eq Y0 Y1) True
% 3.74/3.90 Clause #18 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvF X Y) (rf Y X)) True
% 3.74/3.90 Clause #21 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_19_42328) True
% 3.74/3.90 Clause #68 (by clausification #[14]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.74/3.90 Clause #70 (by clausification #[68]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.74/3.90 Clause #128 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvF a Y) (rf Y a)) True
% 3.74/3.90 Clause #129 (by clausification #[128]): ∀ (a a_1 : Iota), Eq (Iff (rinvF a a_1) (rf a_1 a)) True
% 3.74/3.90 Clause #131 (by clausification #[129]): ∀ (a a_1 : Iota), Or (Eq (rinvF a a_1) False) (Eq (rf a_1 a) True)
% 3.74/3.90 Clause #132 (by clausification #[16]): ∀ (a : Iota),
% 3.74/3.90 Eq
% 3.74/3.90 (Iff (cUnsatisfiable a)
% 3.74/3.90 (Exists fun Y =>
% 3.74/3.90 And (And (rf a Y) (Exists fun Z => And (rinvF Y Z) (Exists fun W => And (rf Z W) (Not (cp1 W))))) (cp1 Y)))
% 3.74/3.90 True
% 3.74/3.90 Clause #134 (by clausification #[132]): ∀ (a : Iota),
% 3.74/3.90 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.90 (Eq
% 3.74/3.90 (Exists fun Y =>
% 3.74/3.90 And (And (rf a Y) (Exists fun Z => And (rinvF Y Z) (Exists fun W => And (rf Z W) (Not (cp1 W))))) (cp1 Y))
% 3.74/3.90 True)
% 3.74/3.90 Clause #143 (by clausification #[17]): ∀ (a : Iota), Eq (cowlThing a → ∀ (Y0 Y1 : Iota), And (rf a Y0) (rf a Y1) → Eq Y0 Y1) True
% 3.74/3.90 Clause #144 (by clausification #[143]): ∀ (a : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y0 Y1 : Iota), And (rf a Y0) (rf a Y1) → Eq Y0 Y1) True)
% 3.74/3.90 Clause #145 (by clausification #[144]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y1 : Iota), And (rf a a_1) (rf a Y1) → Eq a_1 Y1) True)
% 3.74/3.90 Clause #146 (by clausification #[145]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Eq (And (rf a a_1) (rf a a_2) → Eq a_1 a_2) True)
% 3.74/3.90 Clause #147 (by clausification #[146]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (And (rf a a_1) (rf a a_2)) False) (Eq (Eq a_1 a_2) True))
% 3.74/3.90 Clause #148 (by clausification #[147]): ∀ (a a_1 a_2 : Iota),
% 3.74/3.90 Or (Eq (cowlThing a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rf a a_1) False) (Eq (rf a a_2) False)))
% 3.74/3.90 Clause #149 (by clausification #[148]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2)))
% 3.74/3.90 Clause #150 (by forward demodulation #[149, 70]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2)))
% 3.74/3.90 Clause #151 (by clausification #[150]): ∀ (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))
% 3.74/3.90 Clause #152 (by clausification #[134]): ∀ (a a_1 : Iota),
% 3.74/3.90 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.90 (Eq
% 3.74/3.90 (And
% 3.74/3.90 (And (rf a (skS.0 0 a a_1))
% 3.74/3.90 (Exists fun Z => And (rinvF (skS.0 0 a a_1) Z) (Exists fun W => And (rf Z W) (Not (cp1 W)))))
% 3.74/3.90 (cp1 (skS.0 0 a a_1)))
% 3.74/3.90 True)
% 3.74/3.90 Clause #153 (by clausification #[152]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 (skS.0 0 a a_1)) True)
% 3.74/3.90 Clause #154 (by clausification #[152]): ∀ (a a_1 : Iota),
% 3.74/3.90 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.90 (Eq
% 3.74/3.90 (And (rf a (skS.0 0 a a_1))
% 3.74/3.90 (Exists fun Z => And (rinvF (skS.0 0 a a_1) Z) (Exists fun W => And (rf Z W) (Not (cp1 W)))))
% 3.74/3.90 True)
% 3.74/3.90 Clause #155 (by superposition #[153, 21]): ∀ (a : Iota), Or (Eq (cp1 (skS.0 0 i2003_11_14_17_19_42328 a)) True) (Eq False True)
% 3.74/3.90 Clause #156 (by clausification #[155]): ∀ (a : Iota), Eq (cp1 (skS.0 0 i2003_11_14_17_19_42328 a)) True
% 3.74/3.90 Clause #159 (by clausification #[154]): ∀ (a a_1 : Iota),
% 3.74/3.90 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.90 (Eq (Exists fun Z => And (rinvF (skS.0 0 a a_1) Z) (Exists fun W => And (rf Z W) (Not (cp1 W)))) True)
% 3.74/3.92 Clause #160 (by clausification #[154]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rf a (skS.0 0 a a_1)) True)
% 3.74/3.92 Clause #161 (by clausification #[159]): ∀ (a a_1 a_2 : Iota),
% 3.74/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.92 (Eq (And (rinvF (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) (Exists fun W => And (rf (skS.0 1 a a_1 a_2) W) (Not (cp1 W))))
% 3.74/3.92 True)
% 3.74/3.92 Clause #162 (by clausification #[161]): ∀ (a a_1 a_2 : Iota),
% 3.74/3.92 Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun W => And (rf (skS.0 1 a a_1 a_2) W) (Not (cp1 W))) True)
% 3.74/3.92 Clause #163 (by clausification #[161]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rinvF (skS.0 0 a a_1) (skS.0 1 a a_1 a_2)) True)
% 3.74/3.92 Clause #164 (by clausification #[162]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.74/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.74/3.92 (Eq (And (rf (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) (Not (cp1 (skS.0 2 a a_1 a_2 a_3)))) True)
% 3.74/3.92 Clause #165 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Not (cp1 (skS.0 2 a a_1 a_2 a_3))) True)
% 3.74/3.92 Clause #166 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rf (skS.0 1 a a_1 a_2) (skS.0 2 a a_1 a_2 a_3)) True)
% 3.74/3.92 Clause #167 (by clausification #[165]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 (skS.0 2 a a_1 a_2 a_3)) False)
% 3.74/3.92 Clause #168 (by superposition #[167, 21]): ∀ (a a_1 a_2 : Iota), Or (Eq (cp1 (skS.0 2 i2003_11_14_17_19_42328 a a_1 a_2)) False) (Eq False True)
% 3.74/3.92 Clause #169 (by superposition #[160, 21]): ∀ (a : Iota), Or (Eq (rf i2003_11_14_17_19_42328 (skS.0 0 i2003_11_14_17_19_42328 a)) True) (Eq False True)
% 3.74/3.92 Clause #170 (by clausification #[169]): ∀ (a : Iota), Eq (rf i2003_11_14_17_19_42328 (skS.0 0 i2003_11_14_17_19_42328 a)) True
% 3.74/3.92 Clause #173 (by superposition #[170, 151]): ∀ (a a_1 : Iota),
% 3.74/3.92 Or (Eq True False) (Or (Eq (rf i2003_11_14_17_19_42328 a) False) (Eq (skS.0 0 i2003_11_14_17_19_42328 a_1) a))
% 3.74/3.92 Clause #176 (by clausification #[173]): ∀ (a a_1 : Iota), Or (Eq (rf i2003_11_14_17_19_42328 a) False) (Eq (skS.0 0 i2003_11_14_17_19_42328 a_1) a)
% 3.74/3.92 Clause #177 (by superposition #[176, 170]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 0 i2003_11_14_17_19_42328 a_1)) (Eq False True)
% 3.74/3.92 Clause #178 (by superposition #[163, 21]): ∀ (a a_1 : Iota),
% 3.74/3.92 Or (Eq (rinvF (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 1 i2003_11_14_17_19_42328 a a_1)) True) (Eq False True)
% 3.74/3.92 Clause #179 (by clausification #[168]): ∀ (a a_1 a_2 : Iota), Eq (cp1 (skS.0 2 i2003_11_14_17_19_42328 a a_1 a_2)) False
% 3.74/3.92 Clause #180 (by clausification #[177]): ∀ (a a_1 : Iota), Eq (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 0 i2003_11_14_17_19_42328 a_1)
% 3.74/3.92 Clause #181 (by clausification #[178]): ∀ (a a_1 : Iota), Eq (rinvF (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 1 i2003_11_14_17_19_42328 a a_1)) True
% 3.74/3.92 Clause #182 (by superposition #[181, 131]): ∀ (a a_1 : Iota),
% 3.74/3.92 Or (Eq True False) (Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) (skS.0 0 i2003_11_14_17_19_42328 a)) True)
% 3.74/3.93 Clause #185 (by clausification #[182]): ∀ (a a_1 : Iota), Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) (skS.0 0 i2003_11_14_17_19_42328 a)) True
% 3.74/3.93 Clause #189 (by superposition #[185, 180]): ∀ (a a_1 a_2 : Iota), Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) (skS.0 0 i2003_11_14_17_19_42328 a_2)) True
% 3.74/3.93 Clause #190 (by superposition #[166, 21]): ∀ (a a_1 a_2 : Iota),
% 3.74/3.93 Or (Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) (skS.0 2 i2003_11_14_17_19_42328 a a_1 a_2)) True) (Eq False True)
% 3.74/3.93 Clause #193 (by superposition #[189, 151]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.74/3.93 Or (Eq True False)
% 3.74/3.93 (Or (Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) a_2) False) (Eq (skS.0 0 i2003_11_14_17_19_42328 a_3) a_2))
% 3.74/3.93 Clause #202 (by clausification #[193]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.74/3.93 Or (Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) a_2) False) (Eq (skS.0 0 i2003_11_14_17_19_42328 a_3) a_2)
% 3.74/3.93 Clause #205 (by clausification #[190]): ∀ (a a_1 a_2 : Iota), Eq (rf (skS.0 1 i2003_11_14_17_19_42328 a a_1) (skS.0 2 i2003_11_14_17_19_42328 a a_1 a_2)) True
% 3.74/3.93 Clause #206 (by superposition #[205, 202]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.74/3.93 Or (Eq True False) (Eq (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 2 i2003_11_14_17_19_42328 a_1 a_2 a_3))
% 3.74/3.93 Clause #209 (by clausification #[206]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 0 i2003_11_14_17_19_42328 a) (skS.0 2 i2003_11_14_17_19_42328 a_1 a_2 a_3)
% 3.74/3.93 Clause #219 (by superposition #[209, 179]): ∀ (a : Iota), Eq (cp1 (skS.0 0 i2003_11_14_17_19_42328 a)) False
% 3.74/3.93 Clause #220 (by superposition #[219, 156]): Eq False True
% 3.74/3.93 Clause #221 (by clausification #[220]): False
% 3.74/3.93 SZS output end Proof for theBenchmark.p
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