TSTP Solution File: KRS125+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS125+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 05:43:25 EDT 2023
% Result : Unsatisfiable 3.45s 3.72s
% Output : Proof 3.45s
% 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 : KRS125+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 02:09:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.45/3.72 SZS status Theorem for theBenchmark.p
% 3.45/3.72 SZS output start Proof for theBenchmark.p
% 3.45/3.72 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (And (ce3 X) (cf X))) True
% 3.45/3.72 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → cdxcomp X) True
% 3.45/3.72 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists fun Y => ra_Px1 X Y))) True
% 3.45/3.72 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists fun Y0 => ra_Px1 X Y0)) True
% 3.45/3.72 Clause #10 (by assumption #[]): Eq (∀ (X : Iota), ce3 X → cc X) True
% 3.45/3.72 Clause #11 (by assumption #[]): Eq (∀ (X : Iota), cf X → cd X) True
% 3.45/3.72 Clause #12 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (cf a → cd a) True
% 3.45/3.72 Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cf a) False) (Eq (cd a) True)
% 3.45/3.72 Clause #15 (by clausification #[10]): ∀ (a : Iota), Eq (ce3 a → cc a) True
% 3.45/3.72 Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (ce3 a) False) (Eq (cc a) True)
% 3.45/3.72 Clause #25 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → cdxcomp a) True
% 3.45/3.72 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cdxcomp a) True)
% 3.45/3.72 Clause #32 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (And (ce3 a) (cf a))) True
% 3.45/3.72 Clause #34 (by clausification #[32]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (ce3 a) (cf a)) True)
% 3.45/3.72 Clause #36 (by betaEtaReduce #[6]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists (ra_Px1 X)))) True
% 3.45/3.72 Clause #37 (by clausification #[36]): ∀ (a : Iota), Eq (Iff (cd a) (Not (Exists (ra_Px1 a)))) True
% 3.45/3.72 Clause #39 (by clausification #[37]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Not (Exists (ra_Px1 a))) True)
% 3.45/3.72 Clause #42 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Exists (ra_Px1 a)) False)
% 3.45/3.72 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (ra_Px1 a a_1) False)
% 3.45/3.72 Clause #44 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cf a) True)
% 3.45/3.72 Clause #45 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ce3 a) True)
% 3.45/3.72 Clause #46 (by superposition #[44, 12]): Or (Eq (cf i2003_11_14_17_22_17947) True) (Eq False True)
% 3.45/3.72 Clause #47 (by clausification #[46]): Eq (cf i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #48 (by superposition #[47, 14]): Or (Eq True False) (Eq (cd i2003_11_14_17_22_17947) True)
% 3.45/3.72 Clause #49 (by clausification #[48]): Eq (cd i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #50 (by superposition #[49, 43]): ∀ (a : Iota), Or (Eq True False) (Eq (ra_Px1 i2003_11_14_17_22_17947 a) False)
% 3.45/3.72 Clause #51 (by superposition #[45, 12]): Or (Eq (ce3 i2003_11_14_17_22_17947) True) (Eq False True)
% 3.45/3.72 Clause #52 (by betaEtaReduce #[7]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists (ra_Px1 X))) True
% 3.45/3.72 Clause #53 (by clausification #[52]): ∀ (a : Iota), Eq (Iff (cdxcomp a) (Exists (ra_Px1 a))) True
% 3.45/3.72 Clause #55 (by clausification #[53]): ∀ (a : Iota), Or (Eq (cdxcomp a) False) (Eq (Exists (ra_Px1 a)) True)
% 3.45/3.72 Clause #58 (by clausification #[51]): Eq (ce3 i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #59 (by superposition #[58, 16]): Or (Eq True False) (Eq (cc i2003_11_14_17_22_17947) True)
% 3.45/3.72 Clause #61 (by clausification #[59]): Eq (cc i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #62 (by superposition #[61, 26]): Or (Eq True False) (Eq (cdxcomp i2003_11_14_17_22_17947) True)
% 3.45/3.72 Clause #63 (by clausification #[62]): Eq (cdxcomp i2003_11_14_17_22_17947) True
% 3.45/3.72 Clause #64 (by clausification #[50]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_17947 a) False
% 3.45/3.72 Clause #71 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (cdxcomp a) False) (Eq (ra_Px1 a (skS.0 1 a a_1)) True)
% 3.45/3.72 Clause #72 (by superposition #[71, 63]): ∀ (a : Iota), Or (Eq (ra_Px1 i2003_11_14_17_22_17947 (skS.0 1 i2003_11_14_17_22_17947 a)) True) (Eq False True)
% 3.45/3.72 Clause #90 (by clausification #[72]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_17947 (skS.0 1 i2003_11_14_17_22_17947 a)) True
% 3.45/3.72 Clause #91 (by superposition #[90, 64]): Eq True False
% 3.45/3.72 Clause #93 (by clausification #[91]): False
% 3.45/3.72 SZS output end Proof for theBenchmark.p
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