TSTP Solution File: SYO107^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO107^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 04:21:32 EDT 2023
% Result : Theorem 3.61s 3.78s
% Output : Proof 3.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO107^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 07:02:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.61/3.78 SZS status Theorem for theBenchmark.p
% 3.61/3.78 SZS output start Proof for theBenchmark.p
% 3.61/3.78 Clause #0 (by assumption #[]): Eq (Not (Iff (Exists fun X => ∀ (Y : Iota), cP X → cP Y) (Exists fun X => cP X → ∀ (Y : Iota), cP Y))) True
% 3.61/3.78 Clause #1 (by clausification #[0]): Eq (Iff (Exists fun X => ∀ (Y : Iota), cP X → cP Y) (Exists fun X => cP X → ∀ (Y : Iota), cP Y)) False
% 3.61/3.78 Clause #2 (by clausification #[1]): Or (Eq (Exists fun X => ∀ (Y : Iota), cP X → cP Y) False) (Eq (Exists fun X => cP X → ∀ (Y : Iota), cP Y) False)
% 3.61/3.78 Clause #4 (by clausification #[2]): ∀ (a : Iota), Or (Eq (Exists fun X => cP X → ∀ (Y : Iota), cP Y) False) (Eq (∀ (Y : Iota), cP a → cP Y) False)
% 3.61/3.78 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y : Iota), cP a → cP Y) False) (Eq (cP a_1 → ∀ (Y : Iota), cP Y) False)
% 3.61/3.78 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a → ∀ (Y : Iota), cP Y) False) (Eq (Not (cP a_1 → cP (skS.0 0 a_1 a_2))) True)
% 3.61/3.78 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (cP a → cP (skS.0 0 a a_1))) True) (Eq (cP a_2) True)
% 3.61/3.78 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Or (Eq (Not (cP a → cP (skS.0 0 a a_1))) True) (Eq (∀ (Y : Iota), cP Y) False)
% 3.61/3.78 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a) True) (Eq (cP a_1 → cP (skS.0 0 a_1 a_2)) False)
% 3.61/3.78 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota), Or (Eq (cP a) True) (Eq (cP a_1) True)
% 3.61/3.78 Clause #12 (by equality factoring #[10]): ∀ (a : Iota), Or (Ne True True) (Eq (cP a) True)
% 3.61/3.78 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (cP a) True) (Or (Eq True False) (Eq True False))
% 3.61/3.78 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (cP a) True) (Eq True False)
% 3.61/3.78 Clause #16 (by clausification #[15]): ∀ (a : Iota), Eq (cP a) True
% 3.61/3.78 Clause #17 (by clausification #[8]): ∀ (a a_1 : Iota), Or (Eq (∀ (Y : Iota), cP Y) False) (Eq (cP a → cP (skS.0 0 a a_1)) False)
% 3.61/3.78 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP a → cP (skS.0 0 a a_1)) False) (Eq (Not (cP (skS.0 1 a_2))) True)
% 3.61/3.78 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Or (Eq (Not (cP (skS.0 1 a))) True) (Eq (cP (skS.0 0 a_1 a_2)) False)
% 3.61/3.78 Clause #28 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (cP (skS.0 0 a a_1)) False) (Eq (cP (skS.0 1 a_2)) False)
% 3.61/3.78 Clause #29 (by superposition #[28, 16]): ∀ (a : Iota), Or (Eq (cP (skS.0 1 a)) False) (Eq False True)
% 3.61/3.78 Clause #30 (by clausification #[29]): ∀ (a : Iota), Eq (cP (skS.0 1 a)) False
% 3.61/3.78 Clause #31 (by superposition #[30, 16]): Eq False True
% 3.61/3.78 Clause #32 (by clausification #[31]): False
% 3.61/3.78 SZS output end Proof for theBenchmark.p
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