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