TSTP Solution File: KLE059+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE059+1 : 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 : Thu Aug 31 05:28:29 EDT 2023
% Result : Theorem 9.33s 9.53s
% Output : Proof 9.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE059+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 11:40:16 EDT 2023
% 0.20/0.34 % CPUTime :
% 9.33/9.53 SZS status Theorem for theBenchmark.p
% 9.33/9.53 SZS output start Proof for theBenchmark.p
% 9.33/9.53 Clause #16 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (addition X0 X1)) (addition (domain X0) (domain X1))) True
% 9.33/9.53 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 X1 : Iota), Eq (addition X0 X1) X1 → Eq (addition (domain X0) (domain X1)) (domain X1))) True
% 9.33/9.53 Clause #189 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (addition a X1)) (addition (domain a) (domain X1))) True
% 9.33/9.53 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Eq (domain (addition a a_1)) (addition (domain a) (domain a_1))) True
% 9.33/9.53 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (domain (addition a a_1)) (addition (domain a) (domain a_1))
% 9.33/9.53 Clause #210 (by clausification #[17]): Eq (∀ (X0 X1 : Iota), Eq (addition X0 X1) X1 → Eq (addition (domain X0) (domain X1)) (domain X1)) False
% 9.33/9.53 Clause #211 (by clausification #[210]): ∀ (a : Iota),
% 9.33/9.53 Eq (Not (∀ (X1 : Iota), Eq (addition (skS.0 0 a) X1) X1 → Eq (addition (domain (skS.0 0 a)) (domain X1)) (domain X1)))
% 9.33/9.53 True
% 9.33/9.53 Clause #212 (by clausification #[211]): ∀ (a : Iota),
% 9.33/9.53 Eq (∀ (X1 : Iota), Eq (addition (skS.0 0 a) X1) X1 → Eq (addition (domain (skS.0 0 a)) (domain X1)) (domain X1)) False
% 9.33/9.53 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota),
% 9.33/9.53 Eq
% 9.33/9.53 (Not
% 9.33/9.53 (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) →
% 9.33/9.53 Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))))
% 9.33/9.53 True
% 9.33/9.53 Clause #214 (by clausification #[213]): ∀ (a a_1 : Iota),
% 9.33/9.53 Eq
% 9.33/9.53 (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1) →
% 9.33/9.53 Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1)))
% 9.33/9.53 False
% 9.33/9.53 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota), Eq (Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)) True
% 9.33/9.53 Clause #216 (by clausification #[214]): ∀ (a a_1 : Iota), Eq (Eq (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))) False
% 9.33/9.53 Clause #217 (by clausification #[215]): ∀ (a a_1 : Iota), Eq (addition (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 1 a a_1)
% 9.33/9.53 Clause #3736 (by clausification #[216]): ∀ (a a_1 : Iota), Ne (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))
% 9.33/9.53 Clause #3737 (by forward demodulation #[3736, 191]): ∀ (a a_1 : Iota), Ne (domain (addition (skS.0 0 a) (skS.0 1 a a_1))) (domain (skS.0 1 a a_1))
% 9.33/9.53 Clause #3738 (by forward demodulation #[3737, 217]): ∀ (a a_1 : Iota), Ne (domain (skS.0 1 a a_1)) (domain (skS.0 1 a a_1))
% 9.33/9.53 Clause #3739 (by eliminate resolved literals #[3738]): False
% 9.33/9.53 SZS output end Proof for theBenchmark.p
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