TSTP Solution File: GRP700+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 00:33:27 EDT 2023
% Result : Theorem 18.95s 19.20s
% Output : Proof 19.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP700+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 00:24:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 18.95/19.20 SZS status Theorem for theBenchmark.p
% 18.95/19.20 SZS output start Proof for theBenchmark.p
% 18.95/19.20 Clause #0 (by assumption #[]): Eq (∀ (B A : Iota), Eq (mult A (ld A B)) B) True
% 18.95/19.20 Clause #1 (by assumption #[]): Eq (∀ (B A : Iota), Eq (ld A (mult A B)) B) True
% 18.95/19.20 Clause #2 (by assumption #[]): Eq (∀ (B A : Iota), Eq (mult (rd A B) B) A) True
% 18.95/19.20 Clause #3 (by assumption #[]): Eq (∀ (B A : Iota), Eq (rd (mult A B) B) A) True
% 18.95/19.20 Clause #4 (by assumption #[]): Eq (∀ (A : Iota), Eq (mult A unit) A) True
% 18.95/19.20 Clause #5 (by assumption #[]): Eq (∀ (A : Iota), Eq (mult unit A) A) True
% 18.95/19.20 Clause #6 (by assumption #[]): Eq (∀ (C B A : Iota), Eq (mult (mult (mult A B) A) (mult A C)) (mult A (mult (mult (mult B A) A) C))) True
% 18.95/19.20 Clause #8 (by assumption #[]): Eq (Not (∀ (X0 : Iota), Exists fun X1 => And (Eq (mult X1 X0) unit) (Eq (mult X0 X1) unit))) True
% 18.95/19.20 Clause #9 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (mult unit a) a) True
% 18.95/19.20 Clause #10 (by clausification #[9]): ∀ (a : Iota), Eq (mult unit a) a
% 18.95/19.20 Clause #11 (by clausification #[4]): ∀ (a : Iota), Eq (Eq (mult a unit) a) True
% 18.95/19.20 Clause #12 (by clausification #[11]): ∀ (a : Iota), Eq (mult a unit) a
% 18.95/19.20 Clause #13 (by clausification #[3]): ∀ (a : Iota), Eq (∀ (A : Iota), Eq (rd (mult A a) a) A) True
% 18.95/19.20 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (Eq (rd (mult a a_1) a_1) a) True
% 18.95/19.20 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota), Eq (rd (mult a a_1) a_1) a
% 18.95/19.20 Clause #17 (by superposition #[15, 10]): ∀ (a : Iota), Eq (rd a a) unit
% 18.95/19.20 Clause #18 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (A : Iota), Eq (mult A (ld A a)) a) True
% 18.95/19.20 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (Eq (mult a (ld a a_1)) a_1) True
% 18.95/19.20 Clause #20 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (mult a (ld a a_1)) a_1
% 18.95/19.20 Clause #23 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (A : Iota), Eq (mult (rd A a) a) A) True
% 18.95/19.20 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Eq (mult (rd a a_1) a_1) a) True
% 18.95/19.20 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (mult (rd a a_1) a_1) a
% 18.95/19.20 Clause #27 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (A : Iota), Eq (ld A (mult A a)) a) True
% 18.95/19.20 Clause #28 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (Eq (ld a (mult a a_1)) a_1) True
% 18.95/19.20 Clause #29 (by clausification #[28]): ∀ (a a_1 : Iota), Eq (ld a (mult a a_1)) a_1
% 18.95/19.20 Clause #32 (by superposition #[29, 25]): ∀ (a a_1 : Iota), Eq (ld (rd a a_1) a) a_1
% 18.95/19.20 Clause #33 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B A : Iota), Eq (mult (mult (mult A B) A) (mult A a)) (mult A (mult (mult (mult B A) A) a))) True
% 18.95/19.20 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota),
% 18.95/19.20 Eq (∀ (A : Iota), Eq (mult (mult (mult A a) A) (mult A a_1)) (mult A (mult (mult (mult a A) A) a_1))) True
% 18.95/19.20 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Eq (Eq (mult (mult (mult a a_1) a) (mult a a_2)) (mult a (mult (mult (mult a_1 a) a) a_2))) True
% 18.95/19.20 Clause #36 (by clausification #[35]): ∀ (a a_1 a_2 : Iota), Eq (mult (mult (mult a a_1) a) (mult a a_2)) (mult a (mult (mult (mult a_1 a) a) a_2))
% 18.95/19.20 Clause #42 (by superposition #[36, 12]): ∀ (a a_1 : Iota), Eq (mult (mult (mult a a_1) a) a) (mult a (mult (mult (mult a_1 a) a) unit))
% 18.95/19.20 Clause #110 (by clausification #[8]): Eq (∀ (X0 : Iota), Exists fun X1 => And (Eq (mult X1 X0) unit) (Eq (mult X0 X1) unit)) False
% 18.95/19.20 Clause #111 (by clausification #[110]): ∀ (a : Iota), Eq (Not (Exists fun X1 => And (Eq (mult X1 (skS.0 0 a)) unit) (Eq (mult (skS.0 0 a) X1) unit))) True
% 18.95/19.20 Clause #112 (by clausification #[111]): ∀ (a : Iota), Eq (Exists fun X1 => And (Eq (mult X1 (skS.0 0 a)) unit) (Eq (mult (skS.0 0 a) X1) unit)) False
% 18.95/19.20 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (And (Eq (mult a (skS.0 0 a_1)) unit) (Eq (mult (skS.0 0 a_1) a) unit)) False
% 18.95/19.20 Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Or (Eq (Eq (mult a (skS.0 0 a_1)) unit) False) (Eq (Eq (mult (skS.0 0 a_1) a) unit) False)
% 18.95/19.20 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (Eq (mult (skS.0 0 a) a_1) unit) False) (Ne (mult a_1 (skS.0 0 a)) unit)
% 18.95/19.20 Clause #116 (by clausification #[115]): ∀ (a a_1 : Iota), Or (Ne (mult a (skS.0 0 a_1)) unit) (Ne (mult (skS.0 0 a_1) a) unit)
% 19.05/19.25 Clause #118 (by superposition #[116, 25]): ∀ (a a_1 : Iota), Or (Ne a unit) (Ne (mult (skS.0 0 a_1) (rd a (skS.0 0 a_1))) unit)
% 19.05/19.25 Clause #440 (by forward demodulation #[42, 12]): ∀ (a a_1 : Iota), Eq (mult (mult (mult a a_1) a) a) (mult a (mult (mult a_1 a) a))
% 19.05/19.25 Clause #486 (by superposition #[440, 20]): ∀ (a a_1 : Iota), Eq (mult (mult a a_1) a_1) (mult a_1 (mult (mult (ld a_1 a) a_1) a_1))
% 19.05/19.25 Clause #2490 (by superposition #[486, 29]): ∀ (a a_1 : Iota), Eq (ld a (mult (mult a_1 a) a)) (mult (mult (ld a a_1) a) a)
% 19.05/19.25 Clause #2794 (by superposition #[2490, 10]): ∀ (a : Iota), Eq (ld a (mult a a)) (mult (mult (ld a unit) a) a)
% 19.05/19.25 Clause #2801 (by forward demodulation #[2794, 29]): ∀ (a : Iota), Eq a (mult (mult (ld a unit) a) a)
% 19.05/19.25 Clause #2828 (by superposition #[2801, 15]): ∀ (a : Iota), Eq (rd a a) (mult (ld a unit) a)
% 19.05/19.25 Clause #3034 (by forward demodulation #[2828, 17]): ∀ (a : Iota), Eq unit (mult (ld a unit) a)
% 19.05/19.25 Clause #3092 (by superposition #[3034, 32]): ∀ (a : Iota), Eq unit (mult a (rd unit a))
% 19.05/19.25 Clause #3118 (by superposition #[3092, 29]): ∀ (a : Iota), Eq (ld a unit) (rd unit a)
% 19.05/19.25 Clause #5853 (by destructive equality resolution #[118]): ∀ (a : Iota), Ne (mult (skS.0 0 a) (rd unit (skS.0 0 a))) unit
% 19.05/19.25 Clause #5854 (by forward demodulation #[5853, 3118]): ∀ (a : Iota), Ne (mult (skS.0 0 a) (ld (skS.0 0 a) unit)) unit
% 19.05/19.25 Clause #5855 (by forward demodulation #[5854, 20]): Ne unit unit
% 19.05/19.25 Clause #5856 (by eliminate resolved literals #[5855]): False
% 19.05/19.25 SZS output end Proof for theBenchmark.p
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