TSTP Solution File: KRS126+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS126+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 05:43:26 EDT 2023
% Result : Unsatisfiable 3.72s 3.90s
% Output : Proof 3.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KRS126+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.15 % Command : duper %s
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Mon Aug 28 02:18:32 EDT 2023
% 0.13/0.36 % CPUTime :
% 3.72/3.90 SZS status Theorem for theBenchmark.p
% 3.72/3.90 SZS output start Proof for theBenchmark.p
% 3.72/3.90 Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cd1xcomp X) True
% 3.72/3.90 Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cd1 X) True
% 3.72/3.90 Clause #7 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd1 X) (Exists fun Y0 => ra_Px2 X Y0)) True
% 3.72/3.90 Clause #8 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd1xcomp X) (Not (Exists fun Y => ra_Px2 X Y))) True
% 3.72/3.90 Clause #11 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_22_23554) True
% 3.72/3.90 Clause #18 (by clausification #[3]): ∀ (a : Iota), Eq (cUnsatisfiable a → cd1 a) True
% 3.72/3.90 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd1 a) True)
% 3.72/3.90 Clause #20 (by superposition #[19, 11]): Or (Eq (cd1 i2003_11_14_17_22_23554) True) (Eq False True)
% 3.72/3.90 Clause #25 (by clausification #[20]): Eq (cd1 i2003_11_14_17_22_23554) True
% 3.72/3.90 Clause #26 (by clausification #[2]): ∀ (a : Iota), Eq (cUnsatisfiable a → cd1xcomp a) True
% 3.72/3.90 Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd1xcomp a) True)
% 3.72/3.90 Clause #28 (by superposition #[27, 11]): Or (Eq (cd1xcomp i2003_11_14_17_22_23554) True) (Eq False True)
% 3.72/3.90 Clause #29 (by clausification #[28]): Eq (cd1xcomp i2003_11_14_17_22_23554) True
% 3.72/3.90 Clause #45 (by betaEtaReduce #[7]): Eq (∀ (X : Iota), Iff (cd1 X) (Exists (ra_Px2 X))) True
% 3.72/3.90 Clause #46 (by clausification #[45]): ∀ (a : Iota), Eq (Iff (cd1 a) (Exists (ra_Px2 a))) True
% 3.72/3.90 Clause #48 (by clausification #[46]): ∀ (a : Iota), Or (Eq (cd1 a) False) (Eq (Exists (ra_Px2 a)) True)
% 3.72/3.90 Clause #50 (by clausification #[48]): ∀ (a a_1 : Iota), Or (Eq (cd1 a) False) (Eq (ra_Px2 a (skS.0 1 a a_1)) True)
% 3.72/3.90 Clause #51 (by superposition #[50, 25]): ∀ (a : Iota), Or (Eq (ra_Px2 i2003_11_14_17_22_23554 (skS.0 1 i2003_11_14_17_22_23554 a)) True) (Eq False True)
% 3.72/3.90 Clause #61 (by betaEtaReduce #[8]): Eq (∀ (X : Iota), Iff (cd1xcomp X) (Not (Exists (ra_Px2 X)))) True
% 3.72/3.90 Clause #62 (by clausification #[61]): ∀ (a : Iota), Eq (Iff (cd1xcomp a) (Not (Exists (ra_Px2 a)))) True
% 3.72/3.90 Clause #64 (by clausification #[62]): ∀ (a : Iota), Or (Eq (cd1xcomp a) False) (Eq (Not (Exists (ra_Px2 a))) True)
% 3.72/3.90 Clause #69 (by clausification #[51]): ∀ (a : Iota), Eq (ra_Px2 i2003_11_14_17_22_23554 (skS.0 1 i2003_11_14_17_22_23554 a)) True
% 3.72/3.90 Clause #71 (by clausification #[64]): ∀ (a : Iota), Or (Eq (cd1xcomp a) False) (Eq (Exists (ra_Px2 a)) False)
% 3.72/3.90 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (cd1xcomp a) False) (Eq (ra_Px2 a a_1) False)
% 3.72/3.90 Clause #73 (by superposition #[72, 29]): ∀ (a : Iota), Or (Eq (ra_Px2 i2003_11_14_17_22_23554 a) False) (Eq False True)
% 3.72/3.90 Clause #75 (by clausification #[73]): ∀ (a : Iota), Eq (ra_Px2 i2003_11_14_17_22_23554 a) False
% 3.72/3.90 Clause #76 (by superposition #[75, 69]): Eq False True
% 3.72/3.90 Clause #77 (by clausification #[76]): False
% 3.72/3.90 SZS output end Proof for theBenchmark.p
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