TSTP Solution File: GRP001^5 by Duper---1.0
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% File : Duper---1.0
% Problem : GRP001^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 : Thu Aug 31 00:31:01 EDT 2023
% Result : Theorem 5.13s 5.32s
% Output : Proof 5.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n022.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 : Tue Aug 29 01:09:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 5.13/5.32 SZS status Theorem for theBenchmark.p
% 5.13/5.32 SZS output start Proof for theBenchmark.p
% 5.13/5.32 Clause #0 (by assumption #[]): Eq
% 5.13/5.32 (Not
% 5.13/5.32 (And (And (And (∀ (Xx : Iota), Eq (cP e Xx) Xx) (∀ (Xy : Iota), Eq (cP Xy e) Xy)) (∀ (Xz : Iota), Eq (cP Xz Xz) e))
% 5.13/5.32 (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) →
% 5.13/5.32 ∀ (Xa Xb : Iota), Eq (cP Xa Xb) (cP Xb Xa)))
% 5.13/5.32 True
% 5.13/5.32 Clause #1 (by clausification #[0]): Eq
% 5.13/5.32 (And (And (And (∀ (Xx : Iota), Eq (cP e Xx) Xx) (∀ (Xy : Iota), Eq (cP Xy e) Xy)) (∀ (Xz : Iota), Eq (cP Xz Xz) e))
% 5.13/5.32 (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) →
% 5.13/5.32 ∀ (Xa Xb : Iota), Eq (cP Xa Xb) (cP Xb Xa))
% 5.13/5.32 False
% 5.13/5.32 Clause #2 (by clausification #[1]): Eq
% 5.13/5.32 (And (And (And (∀ (Xx : Iota), Eq (cP e Xx) Xx) (∀ (Xy : Iota), Eq (cP Xy e) Xy)) (∀ (Xz : Iota), Eq (cP Xz Xz) e))
% 5.13/5.32 (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))))
% 5.13/5.32 True
% 5.13/5.32 Clause #3 (by clausification #[1]): Eq (∀ (Xa Xb : Iota), Eq (cP Xa Xb) (cP Xb Xa)) False
% 5.13/5.32 Clause #4 (by clausification #[2]): Eq (∀ (Xx Xy Xz : Iota), Eq (cP (cP Xx Xy) Xz) (cP Xx (cP Xy Xz))) True
% 5.13/5.32 Clause #5 (by clausification #[2]): Eq (And (And (∀ (Xx : Iota), Eq (cP e Xx) Xx) (∀ (Xy : Iota), Eq (cP Xy e) Xy)) (∀ (Xz : Iota), Eq (cP Xz Xz) e)) True
% 5.13/5.32 Clause #6 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Xy Xz : Iota), Eq (cP (cP a Xy) Xz) (cP a (cP Xy Xz))) True
% 5.13/5.32 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota), Eq (∀ (Xz : Iota), Eq (cP (cP a a_1) Xz) (cP a (cP a_1 Xz))) True
% 5.13/5.32 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota), Eq (Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))) True
% 5.13/5.32 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota), Eq (cP (cP a a_1) a_2) (cP a (cP a_1 a_2))
% 5.13/5.32 Clause #10 (by superposition #[9, 9]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cP (cP a (cP a_1 a_2)) a_3) (cP (cP a a_1) (cP a_2 a_3))
% 5.13/5.32 Clause #11 (by clausification #[3]): ∀ (a : Iota), Eq (Not (∀ (Xb : Iota), Eq (cP (skS.0 0 a) Xb) (cP Xb (skS.0 0 a)))) True
% 5.13/5.32 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Xb : Iota), Eq (cP (skS.0 0 a) Xb) (cP Xb (skS.0 0 a))) False
% 5.13/5.32 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (Not (Eq (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 0 a)))) True
% 5.13/5.32 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Eq (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 0 a))) False
% 5.13/5.32 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Ne (cP (skS.0 0 a) (skS.0 1 a a_1)) (cP (skS.0 1 a a_1) (skS.0 0 a))
% 5.13/5.32 Clause #16 (by forward demodulation #[10, 9]): ∀ (a a_1 a_2 a_3 : Iota), Eq (cP (cP a (cP a_1 a_2)) a_3) (cP a (cP a_1 (cP a_2 a_3)))
% 5.13/5.32 Clause #39 (by clausification #[5]): Eq (∀ (Xz : Iota), Eq (cP Xz Xz) e) True
% 5.13/5.32 Clause #40 (by clausification #[5]): Eq (And (∀ (Xx : Iota), Eq (cP e Xx) Xx) (∀ (Xy : Iota), Eq (cP Xy e) Xy)) True
% 5.13/5.32 Clause #41 (by clausification #[39]): ∀ (a : Iota), Eq (Eq (cP a a) e) True
% 5.13/5.32 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (cP a a) e
% 5.13/5.32 Clause #46 (by superposition #[42, 9]): ∀ (a a_1 : Iota), Eq e (cP a (cP a_1 (cP a a_1)))
% 5.13/5.32 Clause #49 (by superposition #[42, 9]): ∀ (a a_1 : Iota), Eq (cP e a) (cP a_1 (cP a_1 a))
% 5.13/5.32 Clause #63 (by superposition #[49, 42]): ∀ (a : Iota), Eq (cP e a) (cP a e)
% 5.13/5.32 Clause #870 (by clausification #[40]): Eq (∀ (Xy : Iota), Eq (cP Xy e) Xy) True
% 5.13/5.32 Clause #872 (by clausification #[870]): ∀ (a : Iota), Eq (Eq (cP a e) a) True
% 5.13/5.32 Clause #873 (by clausification #[872]): ∀ (a : Iota), Eq (cP a e) a
% 5.13/5.32 Clause #874 (by backward demodulation #[873, 63]): ∀ (a : Iota), Eq (cP e a) a
% 5.13/5.32 Clause #897 (by backward demodulation #[874, 49]): ∀ (a a_1 : Iota), Eq a (cP a_1 (cP a_1 a))
% 5.13/5.32 Clause #951 (by superposition #[897, 16]): ∀ (a a_1 a_2 a_3 : Iota), Eq a (cP (cP a_1 (cP a_2 a_3)) (cP a_1 (cP a_2 (cP a_3 a))))
% 5.13/5.32 Clause #1052 (by superposition #[951, 46]): ∀ (a a_1 : Iota), Eq a (cP (cP a_1 (cP a a_1)) e)
% 5.13/5.32 Clause #1106 (by superposition #[1052, 873]): ∀ (a a_1 : Iota), Eq a (cP a_1 (cP a a_1))
% 5.13/5.32 Clause #1172 (by superposition #[1106, 897]): ∀ (a a_1 : Iota), Eq (cP a a_1) (cP a_1 a)
% 5.13/5.32 Clause #1291 (by backward contextual literal cutting #[1172, 15]): False
% 5.13/5.32 SZS output end Proof for theBenchmark.p
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