TSTP Solution File: SYN381^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN381^5 : TPTP v8.1.2. Released v4.0.0.
% 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 : Fri Sep 1 02:11:32 EDT 2023
% Result : Theorem 4.86s 5.10s
% Output : Proof 4.86s
% 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 : SYN381^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.11/0.34 % Computer : n018.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Sat Aug 26 20:57:30 EDT 2023
% 0.11/0.34 % CPUTime :
% 4.86/5.10 SZS status Theorem for theBenchmark.p
% 4.86/5.10 SZS output start Proof for theBenchmark.p
% 4.86/5.10 Clause #0 (by assumption #[]): Eq
% 4.86/5.10 (Not
% 4.86/5.10 (And (And (∀ (Xx : Iota), (Exists fun Xy => cQ Xx Xy) → cP Xx) (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv))
% 4.86/5.10 (∀ (Xw Xz : Iota), cQ Xw Xz → Or (cQ Xz Xw) (cQ Xz Xz)) →
% 4.86/5.10 ∀ (Xz : Iota), cP Xz))
% 4.86/5.10 True
% 4.86/5.10 Clause #1 (by betaEtaReduce #[0]): Eq
% 4.86/5.10 (Not
% 4.86/5.10 (And (And (∀ (Xx : Iota), Exists (cQ Xx) → cP Xx) (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv))
% 4.86/5.10 (∀ (Xw Xz : Iota), cQ Xw Xz → Or (cQ Xz Xw) (cQ Xz Xz)) →
% 4.86/5.10 ∀ (Xz : Iota), cP Xz))
% 4.86/5.10 True
% 4.86/5.10 Clause #2 (by clausification #[1]): Eq
% 4.86/5.10 (And (And (∀ (Xx : Iota), Exists (cQ Xx) → cP Xx) (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv))
% 4.86/5.10 (∀ (Xw Xz : Iota), cQ Xw Xz → Or (cQ Xz Xw) (cQ Xz Xz)) →
% 4.86/5.10 ∀ (Xz : Iota), cP Xz)
% 4.86/5.10 False
% 4.86/5.10 Clause #3 (by clausification #[2]): Eq
% 4.86/5.10 (And (And (∀ (Xx : Iota), Exists (cQ Xx) → cP Xx) (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv))
% 4.86/5.10 (∀ (Xw Xz : Iota), cQ Xw Xz → Or (cQ Xz Xw) (cQ Xz Xz)))
% 4.86/5.10 True
% 4.86/5.10 Clause #4 (by clausification #[2]): Eq (∀ (Xz : Iota), cP Xz) False
% 4.86/5.10 Clause #5 (by clausification #[3]): Eq (∀ (Xw Xz : Iota), cQ Xw Xz → Or (cQ Xz Xw) (cQ Xz Xz)) True
% 4.86/5.10 Clause #6 (by clausification #[3]): Eq (And (∀ (Xx : Iota), Exists (cQ Xx) → cP Xx) (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv)) True
% 4.86/5.10 Clause #7 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Xz : Iota), cQ a Xz → Or (cQ Xz a) (cQ Xz Xz)) True
% 4.86/5.10 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Eq (cQ a a_1 → Or (cQ a_1 a) (cQ a_1 a_1)) True
% 4.86/5.10 Clause #9 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Eq (Or (cQ a_1 a) (cQ a_1 a_1)) True)
% 4.86/5.10 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cQ a a_1) False) (Or (Eq (cQ a_1 a) True) (Eq (cQ a_1 a_1) True))
% 4.86/5.10 Clause #11 (by clausification #[4]): ∀ (a : Iota), Eq (Not (cP (skS.0 0 a))) True
% 4.86/5.10 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (cP (skS.0 0 a)) False
% 4.86/5.10 Clause #13 (by clausification #[6]): Eq (∀ (Xv : Iota), Exists fun Xu => cQ Xu Xv) True
% 4.86/5.10 Clause #14 (by clausification #[6]): Eq (∀ (Xx : Iota), Exists (cQ Xx) → cP Xx) True
% 4.86/5.10 Clause #15 (by clausification #[13]): ∀ (a : Iota), Eq (Exists fun Xu => cQ Xu a) True
% 4.86/5.10 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 1 a a_1) a) True
% 4.86/5.10 Clause #17 (by superposition #[16, 10]): ∀ (a a_1 : Iota), Or (Eq True False) (Or (Eq (cQ a (skS.0 1 a a_1)) True) (Eq (cQ a a) True))
% 4.86/5.10 Clause #18 (by clausification #[14]): ∀ (a : Iota), Eq (Exists (cQ a) → cP a) True
% 4.86/5.10 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (Exists (cQ a)) False) (Eq (cP a) True)
% 4.86/5.10 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cQ a a_1) False)
% 4.86/5.10 Clause #23 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (cQ a (skS.0 1 a a_1)) True) (Eq (cQ a a) True)
% 4.86/5.10 Clause #25 (by superposition #[23, 20]): ∀ (a : Iota), Or (Eq (cQ a a) True) (Or (Eq (cP a) True) (Eq True False))
% 4.86/5.10 Clause #26 (by clausification #[25]): ∀ (a : Iota), Or (Eq (cQ a a) True) (Eq (cP a) True)
% 4.86/5.10 Clause #27 (by superposition #[26, 20]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq (cP a) True) (Eq True False))
% 4.86/5.10 Clause #28 (by clausification #[27]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq (cP a) True)
% 4.86/5.10 Clause #29 (by eliminate duplicate literals #[28]): ∀ (a : Iota), Eq (cP a) True
% 4.86/5.10 Clause #32 (by superposition #[29, 12]): Eq True False
% 4.86/5.10 Clause #33 (by clausification #[32]): False
% 4.86/5.10 SZS output end Proof for theBenchmark.p
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