TSTP Solution File: SYO220^5 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO220^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n016.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 04:21:53 EDT 2023
% Result : Theorem 3.26s 3.61s
% Output : Proof 3.26s
% 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 : SYO220^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.18/0.34 % Computer : n016.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 08:38:42 EDT 2023
% 0.18/0.34 % CPUTime :
% 3.26/3.61 SZS status Theorem for theBenchmark.p
% 3.26/3.61 SZS output start Proof for theBenchmark.p
% 3.26/3.61 Clause #0 (by assumption #[]): Eq (Not (∀ (X Y : Iota), Eq X Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R X Y)) True
% 3.26/3.61 Clause #1 (by clausification #[0]): Eq (∀ (X Y : Iota), Eq X Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R X Y) False
% 3.26/3.61 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.26/3.61 Eq (Not (∀ (Y : Iota), Eq (skS.0 0 a) Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) Y)) True
% 3.26/3.61 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.26/3.61 Eq (∀ (Y : Iota), Eq (skS.0 0 a) Y → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) Y) False
% 3.26/3.61 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.26/3.61 Eq
% 3.26/3.61 (Not
% 3.26/3.61 (Eq (skS.0 0 a) (skS.0 1 a a_1) →
% 3.26/3.61 ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1)))
% 3.26/3.61 True
% 3.26/3.61 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 3.26/3.61 Eq
% 3.26/3.61 (Eq (skS.0 0 a) (skS.0 1 a a_1) → ∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1))
% 3.26/3.61 False
% 3.26/3.61 Clause #6 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 0 a) (skS.0 1 a a_1)) True
% 3.26/3.61 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota), Eq (∀ (R : Iota → Iota → Prop), (∀ (Z : Iota), R Z Z) → R (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.26/3.61 Clause #8 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (skS.0 0 a) (skS.0 1 a a_1)
% 3.26/3.61 Clause #9 (by clausification #[7]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 3.26/3.61 Eq (Not ((∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) → skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1))) True
% 3.26/3.61 Clause #10 (by clausification #[9]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop),
% 3.26/3.61 Eq ((∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) → skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.26/3.61 Clause #11 (by clausification #[10]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (∀ (Z : Iota), skS.0 2 a a_1 a_2 Z Z) True
% 3.26/3.61 Clause #12 (by clausification #[10]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 1 a a_1)) False
% 3.26/3.61 Clause #13 (by clausification #[11]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop) (a_3 : Iota), Eq (skS.0 2 a a_1 a_2 a_3 a_3) True
% 3.26/3.61 Clause #14 (by forward demodulation #[12, 8]): ∀ (a a_1 : Iota) (a_2 : Iota → Iota → Prop), Eq (skS.0 2 a a_1 a_2 (skS.0 0 a) (skS.0 0 a)) False
% 3.26/3.61 Clause #15 (by superposition #[14, 13]): Eq False True
% 3.26/3.61 Clause #16 (by clausification #[15]): False
% 3.26/3.61 SZS output end Proof for theBenchmark.p
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