TSTP Solution File: KRS068+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n032.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 05:43:13 EDT 2023

% Result   : Unsatisfiable 3.72s 3.94s
% 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
% 0.00/0.09  % Problem    : KRS068+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.10  % Command    : duper %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Aug 28 01:51:45 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 3.72/3.94  SZS status Theorem for theBenchmark.p
% 3.72/3.94  SZS output start Proof for theBenchmark.p
% 3.72/3.94  Clause #2 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → cc X) True
% 3.72/3.94  Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cUnsatisfiable X → Not (cd X)) True
% 3.72/3.94  Clause #4 (by assumption #[]): Eq (∀ (X : Iota), cc X → ∀ (Y : Iota), rr X Y → cc Y) True
% 3.72/3.94  Clause #5 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_23845) True
% 3.72/3.94  Clause #6 (by assumption #[]): Eq (∀ (X : Iota), (∀ (Y : Iota), rr X Y → cc Y) → cd X) True
% 3.72/3.94  Clause #7 (by clausification #[6]): ∀ (a : Iota), Eq ((∀ (Y : Iota), rr a Y → cc Y) → cd a) True
% 3.72/3.94  Clause #8 (by clausification #[7]): ∀ (a : Iota), Or (Eq (∀ (Y : Iota), rr a Y → cc Y) False) (Eq (cd a) True)
% 3.72/3.94  Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (Not (rr a (skS.0 0 a a_1) → cc (skS.0 0 a a_1))) True)
% 3.72/3.94  Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (rr a (skS.0 0 a a_1) → cc (skS.0 0 a a_1)) False)
% 3.72/3.94  Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (rr a (skS.0 0 a a_1)) True)
% 3.72/3.94  Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Or (Eq (cd a) True) (Eq (cc (skS.0 0 a a_1)) False)
% 3.72/3.94  Clause #13 (by clausification #[2]): ∀ (a : Iota), Eq (cUnsatisfiable a → cc a) True
% 3.72/3.94  Clause #14 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc a) True)
% 3.72/3.94  Clause #15 (by superposition #[14, 5]): Or (Eq (cc i2003_11_14_17_18_23845) True) (Eq False True)
% 3.72/3.94  Clause #16 (by clausification #[15]): Eq (cc i2003_11_14_17_18_23845) True
% 3.72/3.94  Clause #17 (by clausification #[3]): ∀ (a : Iota), Eq (cUnsatisfiable a → Not (cd a)) True
% 3.72/3.94  Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Not (cd a)) True)
% 3.72/3.94  Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd a) False)
% 3.72/3.94  Clause #20 (by superposition #[19, 5]): Or (Eq (cd i2003_11_14_17_18_23845) False) (Eq False True)
% 3.72/3.94  Clause #25 (by clausification #[20]): Eq (cd i2003_11_14_17_18_23845) False
% 3.72/3.94  Clause #26 (by clausification #[4]): ∀ (a : Iota), Eq (cc a → ∀ (Y : Iota), rr a Y → cc Y) True
% 3.72/3.94  Clause #27 (by clausification #[26]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (∀ (Y : Iota), rr a Y → cc Y) True)
% 3.72/3.94  Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (rr a a_1 → cc a_1) True)
% 3.72/3.94  Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Or (Eq (rr a a_1) False) (Eq (cc a_1) True))
% 3.72/3.94  Clause #30 (by superposition #[29, 16]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_23845 a) False) (Or (Eq (cc a) True) (Eq False True))
% 3.72/3.94  Clause #38 (by clausification #[30]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_23845 a) False) (Eq (cc a) True)
% 3.72/3.94  Clause #39 (by superposition #[38, 11]): ∀ (a : Iota),
% 3.72/3.94    Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Or (Eq (cd i2003_11_14_17_18_23845) True) (Eq False True))
% 3.72/3.94  Clause #40 (by clausification #[39]): ∀ (a : Iota), Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Eq (cd i2003_11_14_17_18_23845) True)
% 3.72/3.94  Clause #41 (by forward demodulation #[40, 25]): ∀ (a : Iota), Or (Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True) (Eq False True)
% 3.72/3.94  Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (cc (skS.0 0 i2003_11_14_17_18_23845 a)) True
% 3.72/3.94  Clause #43 (by superposition #[42, 12]): Or (Eq (cd i2003_11_14_17_18_23845) True) (Eq True False)
% 3.72/3.94  Clause #45 (by clausification #[43]): Eq (cd i2003_11_14_17_18_23845) True
% 3.72/3.94  Clause #46 (by superposition #[45, 25]): Eq True False
% 3.72/3.94  Clause #47 (by clausification #[46]): False
% 3.72/3.94  SZS output end Proof for theBenchmark.p
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