TSTP Solution File: KRS074+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 05:43:14 EDT 2023
% Result : Unsatisfiable 3.57s 3.82s
% Output : Proof 3.57s
% 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 : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n029.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 02:33:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.57/3.82 SZS status Theorem for theBenchmark.p
% 3.57/3.82 SZS output start Proof for theBenchmark.p
% 3.57/3.82 Clause #20 (by assumption #[]): Eq
% 3.57/3.82 (∀ (X : Iota),
% 3.57/3.82 Iff (cUnsatisfiable X)
% 3.57/3.82 (And (Exists fun Y => And (And (rs X Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z)))
% 3.57/3.82 (∀ (Y : Iota), rs X Y → Not (cp Y))))
% 3.57/3.82 True
% 3.57/3.82 Clause #27 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_59896) True
% 3.57/3.82 Clause #179 (by clausification #[20]): ∀ (a : Iota),
% 3.57/3.82 Eq
% 3.57/3.82 (Iff (cUnsatisfiable a)
% 3.57/3.82 (And (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z)))
% 3.57/3.82 (∀ (Y : Iota), rs a Y → Not (cp Y))))
% 3.57/3.82 True
% 3.57/3.82 Clause #181 (by clausification #[179]): ∀ (a : Iota),
% 3.57/3.82 Or (Eq (cUnsatisfiable a) False)
% 3.57/3.82 (Eq
% 3.57/3.82 (And (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z)))
% 3.57/3.82 (∀ (Y : Iota), rs a Y → Not (cp Y)))
% 3.57/3.82 True)
% 3.57/3.82 Clause #204 (by clausification #[181]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rs a Y → Not (cp Y)) True)
% 3.57/3.83 Clause #205 (by clausification #[181]): ∀ (a : Iota),
% 3.57/3.83 Or (Eq (cUnsatisfiable a) False)
% 3.57/3.83 (Eq (Exists fun Y => And (And (rs a Y) (cp Y)) (Exists fun Z => And (rinvS Y Z) (cp Z))) True)
% 3.57/3.83 Clause #206 (by clausification #[204]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a a_1 → Not (cp a_1)) True)
% 3.57/3.83 Clause #207 (by clausification #[206]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rs a a_1) False) (Eq (Not (cp a_1)) True))
% 3.57/3.83 Clause #208 (by clausification #[207]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rs a a_1) False) (Eq (cp a_1) False))
% 3.57/3.83 Clause #209 (by superposition #[208, 27]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 a) False) (Or (Eq (cp a) False) (Eq False True))
% 3.57/3.83 Clause #210 (by clausification #[209]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 a) False) (Eq (cp a) False)
% 3.57/3.83 Clause #211 (by clausification #[205]): ∀ (a a_1 : Iota),
% 3.57/3.83 Or (Eq (cUnsatisfiable a) False)
% 3.57/3.83 (Eq (And (And (rs a (skS.0 1 a a_1)) (cp (skS.0 1 a a_1))) (Exists fun Z => And (rinvS (skS.0 1 a a_1) Z) (cp Z)))
% 3.57/3.83 True)
% 3.57/3.83 Clause #213 (by clausification #[211]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rs a (skS.0 1 a a_1)) (cp (skS.0 1 a a_1))) True)
% 3.57/3.83 Clause #235 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp (skS.0 1 a a_1)) True)
% 3.57/3.83 Clause #236 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a (skS.0 1 a a_1)) True)
% 3.57/3.83 Clause #237 (by superposition #[235, 27]): ∀ (a : Iota), Or (Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) True) (Eq False True)
% 3.57/3.83 Clause #238 (by clausification #[237]): ∀ (a : Iota), Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) True
% 3.57/3.83 Clause #239 (by superposition #[236, 27]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_18_59896 (skS.0 1 i2003_11_14_17_18_59896 a)) True) (Eq False True)
% 3.57/3.83 Clause #240 (by clausification #[239]): ∀ (a : Iota), Eq (rs i2003_11_14_17_18_59896 (skS.0 1 i2003_11_14_17_18_59896 a)) True
% 3.57/3.83 Clause #241 (by superposition #[240, 210]): ∀ (a : Iota), Or (Eq True False) (Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) False)
% 3.57/3.83 Clause #248 (by clausification #[241]): ∀ (a : Iota), Eq (cp (skS.0 1 i2003_11_14_17_18_59896 a)) False
% 3.57/3.83 Clause #249 (by superposition #[248, 238]): Eq False True
% 3.57/3.83 Clause #250 (by clausification #[249]): False
% 3.57/3.83 SZS output end Proof for theBenchmark.p
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