TSTP Solution File: SYN382^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN382^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n032.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 3.53s 3.71s
% Output : Proof 3.53s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN382^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : duper %s
% 0.13/0.30 % Computer : n032.cluster.edu
% 0.13/0.30 % Model : x86_64 x86_64
% 0.13/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.30 % Memory : 8042.1875MB
% 0.13/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.30 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Sat Aug 26 18:54:14 EDT 2023
% 0.13/0.31 % CPUTime :
% 3.53/3.71 SZS status Theorem for theBenchmark.p
% 3.53/3.71 SZS output start Proof for theBenchmark.p
% 3.53/3.71 Clause #0 (by assumption #[]): Eq
% 3.53/3.71 (Not
% 3.53/3.71 ((∀ (Xz : Iota), Exists fun Xx => Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx Xz)) →
% 3.53/3.71 ∀ (Xy : Iota), Exists fun Xx => Or (cP Xx Xy) (cQ Xx Xy)))
% 3.53/3.71 True
% 3.53/3.71 Clause #1 (by clausification #[0]): Eq
% 3.53/3.71 ((∀ (Xz : Iota), Exists fun Xx => Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx Xz)) →
% 3.53/3.71 ∀ (Xy : Iota), Exists fun Xx => Or (cP Xx Xy) (cQ Xx Xy))
% 3.53/3.71 False
% 3.53/3.71 Clause #2 (by clausification #[1]): Eq (∀ (Xz : Iota), Exists fun Xx => Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx Xz)) True
% 3.53/3.71 Clause #3 (by clausification #[1]): Eq (∀ (Xy : Iota), Exists fun Xx => Or (cP Xx Xy) (cQ Xx Xy)) False
% 3.53/3.71 Clause #4 (by clausification #[2]): ∀ (a : Iota), Eq (Exists fun Xx => Or (∀ (Xy : Iota), cP Xx Xy) (cQ Xx a)) True
% 3.53/3.71 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Eq (Or (∀ (Xy : Iota), cP (skS.0 0 a a_1) Xy) (cQ (skS.0 0 a a_1) a)) True
% 3.53/3.71 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Or (Eq (∀ (Xy : Iota), cP (skS.0 0 a a_1) Xy) True) (Eq (cQ (skS.0 0 a a_1) a) True)
% 3.53/3.71 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (cQ (skS.0 0 a a_1) a) True) (Eq (cP (skS.0 0 a a_1) a_2) True)
% 3.53/3.71 Clause #8 (by clausification #[3]): ∀ (a : Iota), Eq (Not (Exists fun Xx => Or (cP Xx (skS.0 1 a)) (cQ Xx (skS.0 1 a)))) True
% 3.53/3.71 Clause #9 (by clausification #[8]): ∀ (a : Iota), Eq (Exists fun Xx => Or (cP Xx (skS.0 1 a)) (cQ Xx (skS.0 1 a))) False
% 3.53/3.71 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Eq (Or (cP a (skS.0 1 a_1)) (cQ a (skS.0 1 a_1))) False
% 3.53/3.71 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (cQ a (skS.0 1 a_1)) False
% 3.53/3.71 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota), Eq (cP a (skS.0 1 a_1)) False
% 3.53/3.71 Clause #14 (by superposition #[12, 7]): ∀ (a a_1 : Iota), Or (Eq (cQ (skS.0 0 a a_1) a) True) (Eq False True)
% 3.53/3.71 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (cQ (skS.0 0 a a_1) a) True
% 3.53/3.71 Clause #16 (by superposition #[15, 11]): Eq True False
% 3.53/3.71 Clause #17 (by clausification #[16]): False
% 3.53/3.71 SZS output end Proof for theBenchmark.p
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