TSTP Solution File: KRS092+1 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : KRS092+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n018.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 05:43:18 EDT 2023

% Result   : Unsatisfiable 3.40s 3.64s
% Output   : Proof 3.40s
% 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    : KRS092+1 : TPTP v8.1.2. Released v3.1.0.
% 0.13/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 28 01:51:31 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 3.40/3.64  SZS status Theorem for theBenchmark.p
% 3.40/3.64  SZS output start Proof for theBenchmark.p
% 3.40/3.64  Clause #2 (by assumption #[]): Eq
% 3.40/3.64    (∀ (X : Iota),
% 3.40/3.64      Iff (cUnsatisfiable X)
% 3.40/3.64        (And (Exists fun Y => And (rr X Y) (cowlThing Y)) (∀ (Y : Iota), rr X Y → And (cd Y) (cc Y))))
% 3.40/3.64    True
% 3.40/3.64  Clause #3 (by assumption #[]): Eq (∀ (X : Iota), cc X → Not (cd X)) True
% 3.40/3.64  Clause #8 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_04172) True
% 3.40/3.64  Clause #22 (by clausification #[3]): ∀ (a : Iota), Eq (cc a → Not (cd a)) True
% 3.40/3.64  Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (cd a)) True)
% 3.40/3.64  Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False)
% 3.40/3.64  Clause #32 (by clausification #[2]): ∀ (a : Iota),
% 3.40/3.64    Eq
% 3.40/3.64      (Iff (cUnsatisfiable a)
% 3.40/3.64        (And (Exists fun Y => And (rr a Y) (cowlThing Y)) (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y))))
% 3.40/3.64      True
% 3.40/3.64  Clause #34 (by clausification #[32]): ∀ (a : Iota),
% 3.40/3.64    Or (Eq (cUnsatisfiable a) False)
% 3.40/3.64      (Eq (And (Exists fun Y => And (rr a Y) (cowlThing Y)) (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y))) True)
% 3.40/3.64  Clause #44 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rr a Y → And (cd Y) (cc Y)) True)
% 3.40/3.64  Clause #45 (by clausification #[34]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cowlThing Y)) True)
% 3.40/3.64  Clause #46 (by clausification #[44]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a a_1 → And (cd a_1) (cc a_1)) True)
% 3.40/3.64  Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (And (cd a_1) (cc a_1)) True))
% 3.40/3.64  Clause #48 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (cc a_1) True))
% 3.40/3.64  Clause #49 (by clausification #[47]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Eq (cd a_1) True))
% 3.40/3.64  Clause #50 (by superposition #[48, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Or (Eq (cc a) True) (Eq False True))
% 3.40/3.64  Clause #51 (by clausification #[50]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Eq (cc a) True)
% 3.40/3.64  Clause #52 (by superposition #[49, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Or (Eq (cd a) True) (Eq False True))
% 3.40/3.64  Clause #53 (by clausification #[52]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 a) False) (Eq (cd a) True)
% 3.40/3.64  Clause #54 (by clausification #[45]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 1 a a_1)) (cowlThing (skS.0 1 a a_1))) True)
% 3.40/3.64  Clause #56 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 1 a a_1)) True)
% 3.40/3.64  Clause #60 (by superposition #[56, 8]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_04172 (skS.0 1 i2003_11_14_17_20_04172 a)) True) (Eq False True)
% 3.40/3.64  Clause #61 (by clausification #[60]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_04172 (skS.0 1 i2003_11_14_17_20_04172 a)) True
% 3.40/3.64  Clause #62 (by superposition #[61, 51]): ∀ (a : Iota), Or (Eq True False) (Eq (cc (skS.0 1 i2003_11_14_17_20_04172 a)) True)
% 3.40/3.64  Clause #63 (by superposition #[61, 53]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) True)
% 3.40/3.64  Clause #65 (by clausification #[63]): ∀ (a : Iota), Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) True
% 3.40/3.64  Clause #66 (by clausification #[62]): ∀ (a : Iota), Eq (cc (skS.0 1 i2003_11_14_17_20_04172 a)) True
% 3.40/3.64  Clause #67 (by superposition #[66, 24]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) False)
% 3.40/3.64  Clause #68 (by clausification #[67]): ∀ (a : Iota), Eq (cd (skS.0 1 i2003_11_14_17_20_04172 a)) False
% 3.40/3.64  Clause #69 (by superposition #[68, 65]): Eq False True
% 3.40/3.64  Clause #72 (by clausification #[69]): False
% 3.40/3.64  SZS output end Proof for theBenchmark.p
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