TSTP Solution File: SYN083+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n029.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 02:10:32 EDT 2023
% Result : Theorem 3.38s 3.61s
% Output : Proof 3.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN083+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n029.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 22:07:10 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.38/3.61 SZS status Theorem for theBenchmark.p
% 3.38/3.61 SZS output start Proof for theBenchmark.p
% 3.38/3.61 Clause #0 (by assumption #[]): Eq (∀ (X Y Z : Iota), Eq (f X (f Y Z)) (f (f X Y) Z)) True
% 3.38/3.61 Clause #1 (by assumption #[]): Eq (Not (∀ (X Y Z W : Iota), Eq (f X (f Y (f Z W))) (f (f (f X Y) Z) W))) True
% 3.38/3.61 Clause #2 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (Y Z : Iota), Eq (f a (f Y Z)) (f (f a Y) Z)) True
% 3.38/3.61 Clause #3 (by clausification #[2]): ∀ (a a_1 : Iota), Eq (∀ (Z : Iota), Eq (f a (f a_1 Z)) (f (f a a_1) Z)) True
% 3.38/3.61 Clause #4 (by clausification #[3]): ∀ (a a_1 a_2 : Iota), Eq (Eq (f a (f a_1 a_2)) (f (f a a_1) a_2)) True
% 3.38/3.61 Clause #5 (by clausification #[4]): ∀ (a a_1 a_2 : Iota), Eq (f a (f a_1 a_2)) (f (f a a_1) a_2)
% 3.38/3.61 Clause #31 (by clausification #[1]): Eq (∀ (X Y Z W : Iota), Eq (f X (f Y (f Z W))) (f (f (f X Y) Z) W)) False
% 3.38/3.61 Clause #32 (by clausification #[31]): ∀ (a : Iota), Eq (Not (∀ (Y Z W : Iota), Eq (f (skS.0 0 a) (f Y (f Z W))) (f (f (f (skS.0 0 a) Y) Z) W))) True
% 3.38/3.61 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (∀ (Y Z W : Iota), Eq (f (skS.0 0 a) (f Y (f Z W))) (f (f (f (skS.0 0 a) Y) Z) W)) False
% 3.38/3.61 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 3.38/3.61 Eq (Not (∀ (Z W : Iota), Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f Z W))) (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) Z) W)))
% 3.38/3.61 True
% 3.38/3.61 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota),
% 3.38/3.61 Eq (∀ (Z W : Iota), Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f Z W))) (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) Z) W)) False
% 3.38/3.61 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota),
% 3.38/3.61 Eq
% 3.38/3.61 (Not
% 3.38/3.61 (∀ (W : Iota),
% 3.38/3.61 Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) W)))
% 3.38/3.61 (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) W)))
% 3.38/3.61 True
% 3.38/3.61 Clause #37 (by clausification #[36]): ∀ (a a_1 a_2 : Iota),
% 3.38/3.61 Eq
% 3.38/3.61 (∀ (W : Iota),
% 3.38/3.61 Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) W)))
% 3.38/3.61 (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) W))
% 3.38/3.61 False
% 3.38/3.61 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.61 Eq
% 3.38/3.61 (Not
% 3.38/3.61 (Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 True
% 3.38/3.61 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.61 Eq
% 3.38/3.61 (Eq (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3)))
% 3.38/3.61 False
% 3.38/3.61 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.61 Ne (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 (f (f (f (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)) (skS.0 3 a a_1 a_2 a_3))
% 3.38/3.61 Clause #41 (by forward demodulation #[40, 5]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.61 Ne (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 (f (f (skS.0 0 a) (skS.0 1 a a_1)) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3)))
% 3.38/3.61 Clause #42 (by forward demodulation #[41, 5]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.38/3.61 Ne (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 (f (skS.0 0 a) (f (skS.0 1 a a_1) (f (skS.0 2 a a_1 a_2) (skS.0 3 a a_1 a_2 a_3))))
% 3.38/3.61 Clause #43 (by eliminate resolved literals #[42]): False
% 3.38/3.61 SZS output end Proof for theBenchmark.p
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