TSTP Solution File: SYN366+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 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 02:11:27 EDT 2023
% Result : Theorem 3.32s 3.58s
% Output : Proof 3.32s
% 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 : SYN366+1 : TPTP v8.1.2. Released v2.0.0.
% 0.13/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:57:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.32/3.58 SZS status Theorem for theBenchmark.p
% 3.32/3.58 SZS output start Proof for theBenchmark.p
% 3.32/3.58 Clause #0 (by assumption #[]): Eq
% 3.32/3.58 (Not
% 3.32/3.58 (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) →
% 3.32/3.58 (Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y))
% 3.32/3.58 True
% 3.32/3.58 Clause #1 (by clausification #[0]): Eq
% 3.32/3.58 (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) →
% 3.32/3.58 (Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y)
% 3.32/3.58 False
% 3.32/3.58 Clause #2 (by clausification #[1]): Eq (And (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W))) True
% 3.32/3.58 Clause #3 (by clausification #[1]): Eq ((Exists fun X => big_r X X) → ∀ (Y : Iota), big_r Y Y) False
% 3.32/3.58 Clause #4 (by clausification #[2]): Eq (∀ (W Z : Iota), Iff (big_r W W) (big_r Z W)) True
% 3.32/3.58 Clause #5 (by clausification #[2]): Eq (∀ (U V : Iota), Iff (big_r U U) (big_r U V)) True
% 3.32/3.58 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Z : Iota), Iff (big_r a a) (big_r Z a)) True
% 3.32/3.58 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (Iff (big_r a a) (big_r a_1 a)) True
% 3.32/3.58 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq (big_r a a) False) (Eq (big_r a_1 a) True)
% 3.32/3.58 Clause #10 (by clausification #[3]): Eq (Exists fun X => big_r X X) True
% 3.32/3.58 Clause #11 (by clausification #[3]): Eq (∀ (Y : Iota), big_r Y Y) False
% 3.32/3.58 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (big_r (skS.0 0 a) (skS.0 0 a)) True
% 3.32/3.58 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (Not (big_r (skS.0 1 a) (skS.0 1 a))) True
% 3.32/3.58 Clause #14 (by clausification #[13]): ∀ (a : Iota), Eq (big_r (skS.0 1 a) (skS.0 1 a)) False
% 3.32/3.58 Clause #15 (by superposition #[9, 12]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (big_r a (skS.0 0 a_1)) True)
% 3.32/3.58 Clause #16 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (V : Iota), Iff (big_r a a) (big_r a V)) True
% 3.32/3.58 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Eq (Iff (big_r a a) (big_r a a_1)) True
% 3.32/3.58 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota), Or (Eq (big_r a a) True) (Eq (big_r a a_1) False)
% 3.32/3.58 Clause #21 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (big_r a (skS.0 0 a_1)) True
% 3.32/3.58 Clause #23 (by superposition #[21, 18]): ∀ (a : Iota), Or (Eq (big_r a a) True) (Eq True False)
% 3.32/3.58 Clause #24 (by clausification #[23]): ∀ (a : Iota), Eq (big_r a a) True
% 3.32/3.58 Clause #25 (by superposition #[24, 14]): Eq True False
% 3.32/3.58 Clause #27 (by clausification #[25]): False
% 3.32/3.58 SZS output end Proof for theBenchmark.p
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