TSTP Solution File: SYN049^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN049^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 02:10:18 EDT 2023
% Result : Theorem 3.41s 3.59s
% Output : Proof 3.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN049^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:03:35 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.41/3.59 SZS status Theorem for theBenchmark.p
% 3.41/3.59 SZS output start Proof for theBenchmark.p
% 3.41/3.59 Clause #0 (by assumption #[]): Eq (Not (Exists fun Xx => ∀ (Xy Xz : Iota), (cP Xy → cQ Xz) → cP Xx → cQ Xx)) True
% 3.41/3.59 Clause #1 (by clausification #[0]): Eq (Exists fun Xx => ∀ (Xy Xz : Iota), (cP Xy → cQ Xz) → cP Xx → cQ Xx) False
% 3.41/3.59 Clause #2 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), (cP Xy → cQ Xz) → cP a → cQ a) False
% 3.41/3.59 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), Eq (Not (∀ (Xz : Iota), (cP (skS.0 0 a a_1) → cQ Xz) → cP a → cQ a)) True
% 3.41/3.59 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), (cP (skS.0 0 a a_1) → cQ Xz) → cP a → cQ a) False
% 3.41/3.59 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), Eq (Not ((cP (skS.0 0 a a_1) → cQ (skS.0 1 a a_1 a_2)) → cP a → cQ a)) True
% 3.41/3.59 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Eq ((cP (skS.0 0 a a_1) → cQ (skS.0 1 a a_1 a_2)) → cP a → cQ a) False
% 3.41/3.59 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Eq (cP (skS.0 0 a a_1) → cQ (skS.0 1 a a_1 a_2)) True
% 3.41/3.59 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (cP a → cQ a) False
% 3.41/3.59 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a a_1)) False) (Eq (cQ (skS.0 1 a a_1 a_2)) True)
% 3.41/3.59 Clause #10 (by clausification #[8]): ∀ (a : Iota), Eq (cP a) True
% 3.41/3.59 Clause #11 (by clausification #[8]): ∀ (a : Iota), Eq (cQ a) False
% 3.41/3.59 Clause #12 (by backward demodulation #[10, 9]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (cQ (skS.0 1 a a_1 a_2)) True)
% 3.41/3.59 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 : Iota), Eq (cQ (skS.0 1 a a_1 a_2)) True
% 3.41/3.59 Clause #14 (by superposition #[13, 11]): Eq True False
% 3.41/3.59 Clause #15 (by clausification #[14]): False
% 3.41/3.59 SZS output end Proof for theBenchmark.p
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