TSTP Solution File: REL049+1 by Duper---1.0
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% File : Duper---1.0
% Problem : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n013.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 13:38:03 EDT 2023
% Result : Theorem 18.14s 18.32s
% Output : Proof 18.14s
% 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 : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.18/0.34 % Computer : n013.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 : Fri Aug 25 22:40:02 EDT 2023
% 0.18/0.35 % CPUTime :
% 18.14/18.32 SZS status Theorem for theBenchmark.p
% 18.14/18.32 SZS output start Proof for theBenchmark.p
% 18.14/18.32 Clause #1 (by assumption #[]): Eq (∀ (X0 X1 X2 : Iota), Eq (join X0 (join X1 X2)) (join (join X0 X1) X2)) True
% 18.14/18.32 Clause #13 (by assumption #[]): Eq (Not (∀ (X0 X1 X2 : Iota), And (Eq (join X0 X1) X1) (Eq (join X2 X1) X1) → Eq (join (join X0 X2) X1) X1)) True
% 18.14/18.32 Clause #25 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (X1 X2 : Iota), Eq (join a (join X1 X2)) (join (join a X1) X2)) True
% 18.14/18.32 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (∀ (X2 : Iota), Eq (join a (join a_1 X2)) (join (join a a_1) X2)) True
% 18.14/18.32 Clause #27 (by clausification #[26]): ∀ (a a_1 a_2 : Iota), Eq (Eq (join a (join a_1 a_2)) (join (join a a_1) a_2)) True
% 18.14/18.32 Clause #28 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Eq (join a (join a_1 a_2)) (join (join a a_1) a_2)
% 18.14/18.32 Clause #240 (by clausification #[13]): Eq (∀ (X0 X1 X2 : Iota), And (Eq (join X0 X1) X1) (Eq (join X2 X1) X1) → Eq (join (join X0 X2) X1) X1) False
% 18.14/18.32 Clause #241 (by clausification #[240]): ∀ (a : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (Not
% 18.14/18.32 (∀ (X1 X2 : Iota),
% 18.14/18.32 And (Eq (join (skS.0 0 a) X1) X1) (Eq (join X2 X1) X1) → Eq (join (join (skS.0 0 a) X2) X1) X1))
% 18.14/18.32 True
% 18.14/18.32 Clause #242 (by clausification #[241]): ∀ (a : Iota),
% 18.14/18.32 Eq (∀ (X1 X2 : Iota), And (Eq (join (skS.0 0 a) X1) X1) (Eq (join X2 X1) X1) → Eq (join (join (skS.0 0 a) X2) X1) X1)
% 18.14/18.32 False
% 18.14/18.32 Clause #243 (by clausification #[242]): ∀ (a a_1 : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (Not
% 18.14/18.32 (∀ (X2 : Iota),
% 18.14/18.32 And (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (join X2 (skS.0 1 a a_1)) (skS.0 1 a a_1)) →
% 18.14/18.32 Eq (join (join (skS.0 0 a) X2) (skS.0 1 a a_1)) (skS.0 1 a a_1)))
% 18.14/18.32 True
% 18.14/18.32 Clause #244 (by clausification #[243]): ∀ (a a_1 : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (∀ (X2 : Iota),
% 18.14/18.32 And (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) (Eq (join X2 (skS.0 1 a a_1)) (skS.0 1 a a_1)) →
% 18.14/18.32 Eq (join (join (skS.0 0 a) X2) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 18.14/18.32 False
% 18.14/18.32 Clause #245 (by clausification #[244]): ∀ (a a_1 a_2 : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (Not
% 18.14/18.32 (And (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 18.14/18.32 (Eq (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) (skS.0 1 a a_1)) →
% 18.14/18.32 Eq (join (join (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1)) (skS.0 1 a a_1)))
% 18.14/18.32 True
% 18.14/18.32 Clause #246 (by clausification #[245]): ∀ (a a_1 a_2 : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (And (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 18.14/18.32 (Eq (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) (skS.0 1 a a_1)) →
% 18.14/18.32 Eq (join (join (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 18.14/18.32 False
% 18.14/18.32 Clause #247 (by clausification #[246]): ∀ (a a_1 a_2 : Iota),
% 18.14/18.32 Eq
% 18.14/18.32 (And (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1))
% 18.14/18.32 (Eq (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) (skS.0 1 a a_1)))
% 18.14/18.32 True
% 18.14/18.32 Clause #248 (by clausification #[246]): ∀ (a a_1 a_2 : Iota), Eq (Eq (join (join (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1)) (skS.0 1 a a_1)) False
% 18.14/18.32 Clause #249 (by clausification #[247]): ∀ (a a_1 a_2 : Iota), Eq (Eq (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) (skS.0 1 a a_1)) True
% 18.14/18.32 Clause #250 (by clausification #[247]): ∀ (a a_1 : Iota), Eq (Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) True
% 18.14/18.32 Clause #251 (by clausification #[249]): ∀ (a a_1 a_2 : Iota), Eq (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 18.14/18.32 Clause #6758 (by clausification #[248]): ∀ (a a_1 a_2 : Iota), Ne (join (join (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 18.14/18.32 Clause #6759 (by forward demodulation #[6758, 28]): ∀ (a a_1 a_2 : Iota), Ne (join (skS.0 0 a) (join (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))) (skS.0 1 a a_1)
% 18.14/18.32 Clause #6760 (by forward demodulation #[6759, 251]): ∀ (a a_1 : Iota), Ne (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 18.14/18.32 Clause #6818 (by clausification #[250]): ∀ (a a_1 : Iota), Eq (join (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 18.14/18.32 Clause #6819 (by forward contextual literal cutting #[6818, 6760]): False
% 18.14/18.32 SZS output end Proof for theBenchmark.p
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