TSTP Solution File: KRS123+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 3.62s 3.78s
% Output : Proof 3.62s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : KRS123+1 : TPTP v8.1.2. Released v3.1.0.
% 0.04/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 01:21:25 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.62/3.78 SZS status Theorem for theBenchmark.p
% 3.62/3.78 SZS output start Proof for theBenchmark.p
% 3.62/3.78 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), Iff (cUnsatisfiable X) (And (cc X) (cd X))) True
% 3.62/3.78 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → cdxcomp X) True
% 3.62/3.78 Clause #6 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists fun Y => ra_Px1 X Y))) True
% 3.62/3.78 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists fun Y0 => ra_Px1 X Y0)) True
% 3.62/3.78 Clause #12 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_02803) True
% 3.62/3.78 Clause #25 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → cdxcomp a) True
% 3.62/3.78 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cdxcomp a) True)
% 3.62/3.78 Clause #34 (by clausification #[2]): ∀ (a : Iota), Eq (Iff (cUnsatisfiable a) (And (cc a) (cd a))) True
% 3.62/3.78 Clause #36 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (cc a) (cd a)) True)
% 3.62/3.78 Clause #38 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd a) True)
% 3.62/3.78 Clause #39 (by clausification #[36]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc a) True)
% 3.62/3.78 Clause #40 (by superposition #[38, 12]): Or (Eq (cd i2003_11_14_17_22_02803) True) (Eq False True)
% 3.62/3.78 Clause #41 (by clausification #[40]): Eq (cd i2003_11_14_17_22_02803) True
% 3.62/3.78 Clause #42 (by superposition #[39, 12]): Or (Eq (cc i2003_11_14_17_22_02803) True) (Eq False True)
% 3.62/3.78 Clause #43 (by clausification #[42]): Eq (cc i2003_11_14_17_22_02803) True
% 3.62/3.78 Clause #44 (by superposition #[43, 26]): Or (Eq True False) (Eq (cdxcomp i2003_11_14_17_22_02803) True)
% 3.62/3.78 Clause #46 (by clausification #[44]): Eq (cdxcomp i2003_11_14_17_22_02803) True
% 3.62/3.78 Clause #47 (by betaEtaReduce #[6]): Eq (∀ (X : Iota), Iff (cd X) (Not (Exists (ra_Px1 X)))) True
% 3.62/3.78 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (Iff (cd a) (Not (Exists (ra_Px1 a)))) True
% 3.62/3.78 Clause #50 (by clausification #[48]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Not (Exists (ra_Px1 a))) True)
% 3.62/3.78 Clause #55 (by clausification #[50]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Exists (ra_Px1 a)) False)
% 3.62/3.78 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (ra_Px1 a a_1) False)
% 3.62/3.78 Clause #57 (by superposition #[56, 41]): ∀ (a : Iota), Or (Eq (ra_Px1 i2003_11_14_17_22_02803 a) False) (Eq False True)
% 3.62/3.78 Clause #58 (by clausification #[57]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_02803 a) False
% 3.62/3.78 Clause #59 (by betaEtaReduce #[7]): Eq (∀ (X : Iota), Iff (cdxcomp X) (Exists (ra_Px1 X))) True
% 3.62/3.78 Clause #60 (by clausification #[59]): ∀ (a : Iota), Eq (Iff (cdxcomp a) (Exists (ra_Px1 a))) True
% 3.62/3.78 Clause #62 (by clausification #[60]): ∀ (a : Iota), Or (Eq (cdxcomp a) False) (Eq (Exists (ra_Px1 a)) True)
% 3.62/3.78 Clause #72 (by clausification #[62]): ∀ (a a_1 : Iota), Or (Eq (cdxcomp a) False) (Eq (ra_Px1 a (skS.0 2 a a_1)) True)
% 3.62/3.78 Clause #73 (by superposition #[72, 46]): ∀ (a : Iota), Or (Eq (ra_Px1 i2003_11_14_17_22_02803 (skS.0 2 i2003_11_14_17_22_02803 a)) True) (Eq False True)
% 3.62/3.78 Clause #86 (by clausification #[73]): ∀ (a : Iota), Eq (ra_Px1 i2003_11_14_17_22_02803 (skS.0 2 i2003_11_14_17_22_02803 a)) True
% 3.62/3.78 Clause #87 (by superposition #[86, 58]): Eq True False
% 3.62/3.78 Clause #89 (by clausification #[87]): False
% 3.62/3.78 SZS output end Proof for theBenchmark.p
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