TSTP Solution File: KLE074+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 05:28:31 EDT 2023
% Result : Theorem 8.61s 8.81s
% Output : Proof 8.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KLE074+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n011.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 11:23:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 8.61/8.81 SZS status Theorem for theBenchmark.p
% 8.61/8.81 SZS output start Proof for theBenchmark.p
% 8.61/8.81 Clause #4 (by assumption #[]): Eq (∀ (A B C : Iota), Eq (multiplication A (multiplication B C)) (multiplication (multiplication A B) C)) True
% 8.61/8.81 Clause #13 (by assumption #[]): Eq (∀ (X0 X1 : Iota), Eq (domain (multiplication X0 X1)) (domain (multiplication X0 (domain X1)))) True
% 8.61/8.81 Clause #17 (by assumption #[]): Eq
% 8.61/8.81 (Not
% 8.61/8.81 (∀ (X0 X1 X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication X0 X1) (domain X2)))
% 8.61/8.81 (domain (multiplication X0 (domain (multiplication X1 (domain X2)))))))
% 8.61/8.81 True
% 8.61/8.81 Clause #59 (by clausification #[4]): ∀ (a : Iota),
% 8.61/8.81 Eq (∀ (B C : Iota), Eq (multiplication a (multiplication B C)) (multiplication (multiplication a B) C)) True
% 8.61/8.81 Clause #60 (by clausification #[59]): ∀ (a a_1 : Iota),
% 8.61/8.81 Eq (∀ (C : Iota), Eq (multiplication a (multiplication a_1 C)) (multiplication (multiplication a a_1) C)) True
% 8.61/8.81 Clause #61 (by clausification #[60]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.81 Eq (Eq (multiplication a (multiplication a_1 a_2)) (multiplication (multiplication a a_1) a_2)) True
% 8.61/8.81 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota), Eq (multiplication a (multiplication a_1 a_2)) (multiplication (multiplication a a_1) a_2)
% 8.61/8.81 Clause #171 (by clausification #[13]): ∀ (a : Iota), Eq (∀ (X1 : Iota), Eq (domain (multiplication a X1)) (domain (multiplication a (domain X1)))) True
% 8.61/8.81 Clause #172 (by clausification #[171]): ∀ (a a_1 : Iota), Eq (Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))) True
% 8.61/8.81 Clause #173 (by clausification #[172]): ∀ (a a_1 : Iota), Eq (domain (multiplication a a_1)) (domain (multiplication a (domain a_1)))
% 8.61/8.81 Clause #179 (by superposition #[173, 173]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.81 Eq (domain (multiplication a (multiplication a_1 (domain a_2))))
% 8.61/8.81 (domain (multiplication a (domain (multiplication a_1 a_2))))
% 8.61/8.81 Clause #210 (by clausification #[17]): Eq
% 8.61/8.81 (∀ (X0 X1 X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication X0 X1) (domain X2)))
% 8.61/8.81 (domain (multiplication X0 (domain (multiplication X1 (domain X2))))))
% 8.61/8.81 False
% 8.61/8.81 Clause #211 (by clausification #[210]): ∀ (a : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (Not
% 8.61/8.81 (∀ (X1 X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication (skS.0 0 a) X1) (domain X2)))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication X1 (domain X2)))))))
% 8.61/8.81 True
% 8.61/8.81 Clause #212 (by clausification #[211]): ∀ (a : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (∀ (X1 X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication (skS.0 0 a) X1) (domain X2)))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication X1 (domain X2))))))
% 8.61/8.81 False
% 8.61/8.81 Clause #213 (by clausification #[212]): ∀ (a a_1 : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (Not
% 8.61/8.81 (∀ (X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (domain X2)))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain X2)))))))
% 8.61/8.81 True
% 8.61/8.81 Clause #214 (by clausification #[213]): ∀ (a a_1 : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (∀ (X2 : Iota),
% 8.61/8.81 Eq (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (domain X2)))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain X2))))))
% 8.61/8.81 False
% 8.61/8.81 Clause #215 (by clausification #[214]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (Not
% 8.61/8.81 (Eq (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (domain (skS.0 2 a a_1 a_2))))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2))))))))
% 8.61/8.81 True
% 8.61/8.81 Clause #216 (by clausification #[215]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.81 Eq
% 8.61/8.81 (Eq (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (domain (skS.0 2 a a_1 a_2))))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2)))))))
% 8.61/8.81 False
% 8.61/8.81 Clause #217 (by clausification #[216]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.81 Ne (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (domain (skS.0 2 a a_1 a_2))))
% 8.61/8.81 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2))))))
% 8.61/8.82 Clause #218 (by forward demodulation #[217, 173]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.82 Ne (domain (multiplication (multiplication (skS.0 0 a) (skS.0 1 a a_1)) (skS.0 2 a a_1 a_2)))
% 8.61/8.82 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2))))))
% 8.61/8.82 Clause #219 (by forward demodulation #[218, 62]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.82 Ne (domain (multiplication (skS.0 0 a) (multiplication (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 8.61/8.82 (domain (multiplication (skS.0 0 a) (domain (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2))))))
% 8.61/8.82 Clause #220 (by forward demodulation #[219, 173]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.82 Ne (domain (multiplication (skS.0 0 a) (multiplication (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))))
% 8.61/8.82 (domain (multiplication (skS.0 0 a) (multiplication (skS.0 1 a a_1) (domain (skS.0 2 a a_1 a_2)))))
% 8.61/8.82 Clause #3090 (by superposition #[179, 173]): ∀ (a a_1 a_2 : Iota),
% 8.61/8.82 Eq (domain (multiplication a (multiplication a_1 a_2))) (domain (multiplication a (multiplication a_1 (domain a_2))))
% 8.61/8.82 Clause #3192 (by backward contextual literal cutting #[3090, 220]): False
% 8.61/8.82 SZS output end Proof for theBenchmark.p
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