TSTP Solution File: NUM851+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n007.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 10:57:58 EDT 2023
% Result : Theorem 78.81s 78.99s
% Output : Proof 78.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n007.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 : Fri Aug 25 17:00:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 78.81/78.99 SZS status Theorem for theBenchmark.p
% 78.81/78.99 SZS output start Proof for theBenchmark.p
% 78.81/78.99 Clause #0 (by assumption #[]): Eq (Not (Eq (vmul (vplus vd471 vd473) vd469) (vplus (vmul vd471 vd469) (vmul vd473 vd469)))) True
% 78.81/78.99 Clause #2 (by assumption #[]): Eq (Eq vd470 (vplus vd471 vd473)) True
% 78.81/78.99 Clause #5 (by assumption #[]): Eq (∀ (Vd432 Vd433 Vd434 : Iota), Eq (vmul Vd432 (vplus Vd433 Vd434)) (vplus (vmul Vd432 Vd433) (vmul Vd432 Vd434)))
% 78.81/78.99 True
% 78.81/78.99 Clause #6 (by assumption #[]): Eq (∀ (Vd418 Vd419 : Iota), Eq (vmul Vd418 Vd419) (vmul Vd419 Vd418)) True
% 78.81/78.99 Clause #32 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Or (Eq Vd203 Vd204) (greater Vd203 Vd204)) (less Vd203 Vd204)) True
% 78.81/78.99 Clause #33 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Ne Vd203 Vd204) (Not (less Vd203 Vd204))) True
% 78.81/78.99 Clause #35 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Ne Vd203 Vd204) (Not (greater Vd203 Vd204))) True
% 78.81/78.99 Clause #55 (by clausification #[2]): Eq vd470 (vplus vd471 vd473)
% 78.81/78.99 Clause #61 (by clausification #[0]): Eq (Eq (vmul (vplus vd471 vd473) vd469) (vplus (vmul vd471 vd469) (vmul vd473 vd469))) False
% 78.81/78.99 Clause #62 (by clausification #[61]): Ne (vmul (vplus vd471 vd473) vd469) (vplus (vmul vd471 vd469) (vmul vd473 vd469))
% 78.81/78.99 Clause #63 (by forward demodulation #[62, 55]): Ne (vmul vd470 vd469) (vplus (vmul vd471 vd469) (vmul vd473 vd469))
% 78.81/78.99 Clause #122 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (Vd433 Vd434 : Iota), Eq (vmul a (vplus Vd433 Vd434)) (vplus (vmul a Vd433) (vmul a Vd434))) True
% 78.81/78.99 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), Eq (∀ (Vd434 : Iota), Eq (vmul a (vplus a_1 Vd434)) (vplus (vmul a a_1) (vmul a Vd434))) True
% 78.81/78.99 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), Eq (Eq (vmul a (vplus a_1 a_2)) (vplus (vmul a a_1) (vmul a a_2))) True
% 78.81/78.99 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota), Eq (vmul a (vplus a_1 a_2)) (vplus (vmul a a_1) (vmul a a_2))
% 78.81/78.99 Clause #149 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (Vd419 : Iota), Eq (vmul a Vd419) (vmul Vd419 a)) True
% 78.81/78.99 Clause #150 (by clausification #[149]): ∀ (a a_1 : Iota), Eq (Eq (vmul a a_1) (vmul a_1 a)) True
% 78.81/78.99 Clause #151 (by clausification #[150]): ∀ (a a_1 : Iota), Eq (vmul a a_1) (vmul a_1 a)
% 78.81/78.99 Clause #156 (by superposition #[151, 125]): ∀ (a a_1 a_2 : Iota), Eq (vmul a (vplus a_1 a_2)) (vplus (vmul a_1 a) (vmul a a_2))
% 78.81/78.99 Clause #425 (by clausification #[32]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Or (Eq a Vd204) (greater a Vd204)) (less a Vd204)) True
% 78.81/78.99 Clause #426 (by clausification #[425]): ∀ (a a_1 : Iota), Eq (Or (Or (Eq a a_1) (greater a a_1)) (less a a_1)) True
% 78.81/78.99 Clause #427 (by clausification #[426]): ∀ (a a_1 : Iota), Or (Eq (Or (Eq a a_1) (greater a a_1)) True) (Eq (less a a_1) True)
% 78.81/78.99 Clause #428 (by clausification #[427]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) True) (Or (Eq (Eq a a_1) True) (Eq (greater a a_1) True))
% 78.81/78.99 Clause #429 (by clausification #[428]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) True) (Or (Eq (greater a a_1) True) (Eq a a_1))
% 78.81/78.99 Clause #466 (by superposition #[429, 63]): ∀ (a : Iota),
% 78.81/78.99 Or (Eq (less (vplus (vmul vd471 vd469) (vmul vd473 vd469)) a) True)
% 78.81/78.99 (Or (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) a) True) (Ne (vmul vd470 vd469) a))
% 78.81/78.99 Clause #650 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Ne a Vd204) (Not (less a Vd204))) True
% 78.81/78.99 Clause #651 (by clausification #[650]): ∀ (a a_1 : Iota), Eq (Or (Ne a a_1) (Not (less a a_1))) True
% 78.81/78.99 Clause #652 (by clausification #[651]): ∀ (a a_1 : Iota), Or (Eq (Ne a a_1) True) (Eq (Not (less a a_1)) True)
% 78.81/78.99 Clause #653 (by clausification #[652]): ∀ (a a_1 : Iota), Or (Eq (Not (less a a_1)) True) (Ne a a_1)
% 78.81/78.99 Clause #654 (by clausification #[653]): ∀ (a a_1 : Iota), Or (Ne a a_1) (Eq (less a a_1) False)
% 78.81/78.99 Clause #655 (by destructive equality resolution #[654]): ∀ (a : Iota), Eq (less a a) False
% 78.81/78.99 Clause #705 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Ne a Vd204) (Not (greater a Vd204))) True
% 78.81/78.99 Clause #706 (by clausification #[705]): ∀ (a a_1 : Iota), Eq (Or (Ne a a_1) (Not (greater a a_1))) True
% 78.85/79.17 Clause #707 (by clausification #[706]): ∀ (a a_1 : Iota), Or (Eq (Ne a a_1) True) (Eq (Not (greater a a_1)) True)
% 78.85/79.17 Clause #708 (by clausification #[707]): ∀ (a a_1 : Iota), Or (Eq (Not (greater a a_1)) True) (Ne a a_1)
% 78.85/79.17 Clause #709 (by clausification #[708]): ∀ (a a_1 : Iota), Or (Ne a a_1) (Eq (greater a a_1) False)
% 78.85/79.17 Clause #710 (by destructive equality resolution #[709]): ∀ (a : Iota), Eq (greater a a) False
% 78.85/79.17 Clause #31316 (by destructive equality resolution #[466]): Or (Eq (less (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31317 (by forward demodulation #[31316, 151]): Or (Eq (less (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd469 vd470)) True)
% 78.85/79.17 (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31318 (by forward demodulation #[31317, 151]): Or (Eq (less (vplus (vmul vd471 vd469) (vmul vd469 vd473)) (vmul vd469 vd470)) True)
% 78.85/79.17 (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31319 (by forward demodulation #[31318, 156]): Or (Eq (less (vmul vd469 (vplus vd471 vd473)) (vmul vd469 vd470)) True)
% 78.85/79.17 (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31320 (by forward demodulation #[31319, 55]): Or (Eq (less (vmul vd469 vd470) (vmul vd469 vd470)) True)
% 78.85/79.17 (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31321 (by forward demodulation #[31320, 655]): Or (Eq False True) (Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True)
% 78.85/79.17 Clause #31322 (by clausification #[31321]): Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd470 vd469)) True
% 78.85/79.17 Clause #31323 (by forward demodulation #[31322, 151]): Eq (greater (vplus (vmul vd471 vd469) (vmul vd473 vd469)) (vmul vd469 vd470)) True
% 78.85/79.17 Clause #31324 (by forward demodulation #[31323, 151]): Eq (greater (vplus (vmul vd471 vd469) (vmul vd469 vd473)) (vmul vd469 vd470)) True
% 78.85/79.17 Clause #31325 (by forward demodulation #[31324, 156]): Eq (greater (vmul vd469 (vplus vd471 vd473)) (vmul vd469 vd470)) True
% 78.85/79.17 Clause #31326 (by forward demodulation #[31325, 55]): Eq (greater (vmul vd469 vd470) (vmul vd469 vd470)) True
% 78.85/79.17 Clause #31333 (by superposition #[31326, 710]): Eq True False
% 78.85/79.17 Clause #31373 (by clausification #[31333]): False
% 78.85/79.17 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------