TSTP Solution File: SYO160^5 by Duper---1.0

View Problem - Process Solution

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% File     : Duper---1.0
% Problem  : SYO160^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n012.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 : Fri Sep  1 04:21:41 EDT 2023

% Result   : Theorem 3.27s 3.59s
% Output   : Proof 3.27s
% 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    : SYO160^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command    : duper %s
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 03:22:25 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 3.27/3.59  SZS status Theorem for theBenchmark.p
% 3.27/3.59  SZS output start Proof for theBenchmark.p
% 3.27/3.59  Clause #0 (by assumption #[]): Eq
% 3.27/3.59    (Not
% 3.27/3.59      (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx))
% 3.27/3.59          (∀ (Xx : Iota), cQ Xx → cR Xx) →
% 3.27/3.59        And (And (cR a) (cR b)) (cR c)))
% 3.27/3.59    True
% 3.27/3.59  Clause #1 (by clausification #[0]): Eq
% 3.27/3.59    (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx))
% 3.27/3.59        (∀ (Xx : Iota), cQ Xx → cR Xx) →
% 3.27/3.59      And (And (cR a) (cR b)) (cR c))
% 3.27/3.59    False
% 3.27/3.59  Clause #2 (by clausification #[1]): Eq
% 3.27/3.59    (And (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx))
% 3.27/3.59      (∀ (Xx : Iota), cQ Xx → cR Xx))
% 3.27/3.59    True
% 3.27/3.59  Clause #3 (by clausification #[1]): Eq (And (And (cR a) (cR b)) (cR c)) False
% 3.27/3.59  Clause #4 (by clausification #[2]): Eq (∀ (Xx : Iota), cQ Xx → cR Xx) True
% 3.27/3.59  Clause #5 (by clausification #[2]): Eq (And (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) (∀ (Xx : Iota), cP Xx → cR Xx)) True
% 3.27/3.59  Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (cQ a → cR a) True
% 3.27/3.59  Clause #7 (by clausification #[6]): ∀ (a : Iota), Or (Eq (cQ a) False) (Eq (cR a) True)
% 3.27/3.59  Clause #8 (by clausification #[3]): Or (Eq (And (cR a) (cR b)) False) (Eq (cR c) False)
% 3.27/3.59  Clause #9 (by clausification #[8]): Or (Eq (cR c) False) (Or (Eq (cR a) False) (Eq (cR b) False))
% 3.27/3.59  Clause #10 (by clausification #[5]): Eq (∀ (Xx : Iota), cP Xx → cR Xx) True
% 3.27/3.59  Clause #11 (by clausification #[5]): Eq (Or (∀ (Xx : Iota), cP Xx) (∀ (Xx : Iota), cQ Xx)) True
% 3.27/3.59  Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (cP a → cR a) True
% 3.27/3.59  Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) False) (Eq (cR a) True)
% 3.27/3.59  Clause #14 (by clausification #[11]): Or (Eq (∀ (Xx : Iota), cP Xx) True) (Eq (∀ (Xx : Iota), cQ Xx) True)
% 3.27/3.59  Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq (∀ (Xx : Iota), cQ Xx) True) (Eq (cP a) True)
% 3.27/3.59  Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cQ a_1) True)
% 3.27/3.59  Clause #18 (by superposition #[16, 7]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq (cR a_1) True))
% 3.27/3.59  Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cR a_1) True)
% 3.27/3.59  Clause #20 (by superposition #[19, 13]): ∀ (a a_1 : Iota), Or (Eq (cR a) True) (Or (Eq True False) (Eq (cR a_1) True))
% 3.27/3.59  Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota), Or (Eq (cR a) True) (Eq (cR a_1) True)
% 3.27/3.59  Clause #24 (by equality factoring #[22]): ∀ (a : Iota), Or (Ne True True) (Eq (cR a) True)
% 3.27/3.59  Clause #25 (by clausification #[24]): ∀ (a : Iota), Or (Eq (cR a) True) (Or (Eq True False) (Eq True False))
% 3.27/3.59  Clause #27 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cR a) True) (Eq True False)
% 3.27/3.59  Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (cR a) True
% 3.27/3.59  Clause #29 (by backward demodulation #[28, 9]): Or (Eq (cR c) False) (Or (Eq True False) (Eq (cR b) False))
% 3.27/3.59  Clause #35 (by clausification #[29]): Or (Eq (cR c) False) (Eq (cR b) False)
% 3.27/3.59  Clause #36 (by forward demodulation #[35, 28]): Or (Eq (cR c) False) (Eq True False)
% 3.27/3.59  Clause #37 (by clausification #[36]): Eq (cR c) False
% 3.27/3.59  Clause #38 (by superposition #[37, 28]): Eq False True
% 3.27/3.59  Clause #39 (by clausification #[38]): False
% 3.27/3.59  SZS output end Proof for theBenchmark.p
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