TSTP Solution File: KLE067+1 by Duper---1.0
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% File : Duper---1.0
% Problem : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 05:28:30 EDT 2023
% Result : Theorem 6.03s 6.21s
% Output : Proof 6.03s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE067+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : duper %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 12:36:05 EDT 2023
% 0.12/0.34 % CPUTime :
% 6.03/6.21 SZS status Theorem for theBenchmark.p
% 6.03/6.21 SZS output start Proof for theBenchmark.p
% 6.03/6.21 Clause #6 (by assumption #[]): Eq (∀ (A : Iota), Eq (multiplication one A) A) True
% 6.03/6.21 Clause #13 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (multiplication X0 X1)) (domain (multiplication X0 (domain X1)))) True
% 6.03/6.21 Clause #16 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (addition X0 X1)) (addition (domain X0) (domain X1))) True
% 6.03/6.21 Clause #17 (by assumption #[]): Eq (Not (∀ (X0 X1 : Iota), Eq (domain (addition (domain X0) (domain X1))) (addition (domain X0) (domain X1)))) True
% 6.03/6.21 Clause #19 (by clausification #[6]): ∀ (a : Iota), Eq (Eq (multiplication one a) a) True
% 6.03/6.21 Clause #20 (by clausification #[19]): ∀ (a : Iota), Eq (multiplication one a) a
% 6.03/6.21 Clause #171 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (multiplication a X1)) (domain (multiplication a (domain X1)))) True
% 6.03/6.21 Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota), Eq (Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))) True
% 6.03/6.21 Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota), Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))
% 6.03/6.21 Clause #180 (by superposition #[173, 20]): ∀ (a : Iota), Eq (domain (multiplication one a)) (domain (domain a))
% 6.03/6.21 Clause #184 (by forward demodulation #[180, 20]): ∀ (a : Iota), Eq (domain a) (domain (domain a))
% 6.03/6.21 Clause #189 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (addition a X1)) (addition (domain a) (domain X1))) True
% 6.03/6.21 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Eq (Eq (domain (addition a a_1)) (addition (domain a) (domain a_1))) True
% 6.03/6.21 Clause #191 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (domain (addition a a_1)) (addition (domain a) (domain a_1))
% 6.03/6.21 Clause #210 (by clausification #[17]): Eq (∀ (X0 X1 : Iota), Eq (domain (addition (domain X0) (domain X1))) (addition (domain X0) (domain X1))) False
% 6.03/6.21 Clause #211 (by clausification #[210]): ∀ (a : Iota),
% 6.03/6.21 Eq
% 6.03/6.21 (Not
% 6.03/6.21 (∀ (X1 : Iota),
% 6.03/6.21 Eq (domain (addition (domain (skS.0 0 a)) (domain X1))) (addition (domain (skS.0 0 a)) (domain X1))))
% 6.03/6.21 True
% 6.03/6.21 Clause #212 (by clausification #[211]): ∀ (a : Iota),
% 6.03/6.21 Eq
% 6.03/6.21 (∀ (X1 : Iota), Eq (domain (addition (domain (skS.0 0 a)) (domain X1))) (addition (domain (skS.0 0 a)) (domain X1)))
% 6.03/6.21 False
% 6.03/6.21 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota),
% 6.03/6.21 Eq
% 6.03/6.21 (Not
% 6.03/6.21 (Eq (domain (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))))
% 6.03/6.21 (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1)))))
% 6.03/6.21 True
% 6.03/6.21 Clause #214 (by clausification #[213]): ∀ (a a_1 : Iota),
% 6.03/6.21 Eq
% 6.03/6.21 (Eq (domain (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))))
% 6.03/6.21 (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))))
% 6.03/6.21 False
% 6.03/6.21 Clause #215 (by clausification #[214]): ∀ (a a_1 : Iota),
% 6.03/6.21 Ne (domain (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1))))
% 6.03/6.21 (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1)))
% 6.03/6.21 Clause #216 (by forward demodulation #[215, 191]): ∀ (a a_1 : Iota),
% 6.03/6.21 Ne (domain (domain (addition (skS.0 0 a) (skS.0 1 a a_1)))) (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1)))
% 6.03/6.21 Clause #217 (by forward demodulation #[216, 184]): ∀ (a a_1 : Iota),
% 6.03/6.21 Ne (domain (addition (skS.0 0 a) (skS.0 1 a a_1))) (addition (domain (skS.0 0 a)) (domain (skS.0 1 a a_1)))
% 6.03/6.21 Clause #218 (by forward demodulation #[217, 191]): ∀ (a a_1 : Iota), Ne (domain (addition (skS.0 0 a) (skS.0 1 a a_1))) (domain (addition (skS.0 0 a) (skS.0 1 a a_1)))
% 6.03/6.21 Clause #219 (by eliminate resolved literals #[218]): False
% 6.03/6.21 SZS output end Proof for theBenchmark.p
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