TSTP Solution File: NUM852+2 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 10:57:59 EDT 2023
% Result : Theorem 3.98s 4.19s
% Output : Proof 3.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM852+2 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n024.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 10:27:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.98/4.19 SZS status Theorem for theBenchmark.p
% 3.98/4.19 SZS output start Proof for theBenchmark.p
% 3.98/4.19 Clause #0 (by assumption #[]): Eq (Not (greater (vmul vd481 vd469) (vmul vd480 vd469))) True
% 3.98/4.19 Clause #1 (by assumption #[]): Eq (greater vd481 vd480) True
% 3.98/4.19 Clause #4 (by assumption #[]): Eq
% 3.98/4.19 (∀ (Vd470 Vd471 : Iota),
% 3.98/4.19 greater Vd470 Vd471 → greater (vplus (vmul Vd471 vd469) (vmul (vskolem9 Vd470 Vd471) vd469)) (vmul Vd471 vd469))
% 3.98/4.19 True
% 3.98/4.19 Clause #7 (by assumption #[]): Eq (∀ (Vd470 Vd471 : Iota), greater Vd470 Vd471 → Eq Vd470 (vplus Vd471 (vskolem9 Vd470 Vd471))) True
% 3.98/4.19 Clause #9 (by assumption #[]): Eq (∀ (Vd432 Vd433 Vd434 : Iota), Eq (vmul Vd432 (vplus Vd433 Vd434)) (vplus (vmul Vd432 Vd433) (vmul Vd432 Vd434)))
% 3.98/4.19 True
% 3.98/4.19 Clause #10 (by assumption #[]): Eq (∀ (Vd418 Vd419 : Iota), Eq (vmul Vd418 Vd419) (vmul Vd419 Vd418)) True
% 3.98/4.19 Clause #28 (by clausification #[0]): Eq (greater (vmul vd481 vd469) (vmul vd480 vd469)) False
% 3.98/4.19 Clause #29 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Vd419 : Iota), Eq (vmul a Vd419) (vmul Vd419 a)) True
% 3.98/4.19 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (Eq (vmul a a_1) (vmul a_1 a)) True
% 3.98/4.19 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota), Eq (vmul a a_1) (vmul a_1 a)
% 3.98/4.19 Clause #33 (by superposition #[31, 28]): Eq (greater (vmul vd469 vd481) (vmul vd480 vd469)) False
% 3.98/4.19 Clause #34 (by forward demodulation #[33, 31]): Eq (greater (vmul vd469 vd481) (vmul vd469 vd480)) False
% 3.98/4.19 Clause #41 (by clausification #[4]): ∀ (a : Iota),
% 3.98/4.19 Eq
% 3.98/4.19 (∀ (Vd471 : Iota),
% 3.98/4.19 greater a Vd471 → greater (vplus (vmul Vd471 vd469) (vmul (vskolem9 a Vd471) vd469)) (vmul Vd471 vd469))
% 3.98/4.19 True
% 3.98/4.19 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.98/4.19 Eq (greater a a_1 → greater (vplus (vmul a_1 vd469) (vmul (vskolem9 a a_1) vd469)) (vmul a_1 vd469)) True
% 3.98/4.19 Clause #43 (by clausification #[42]): ∀ (a a_1 : Iota),
% 3.98/4.19 Or (Eq (greater a a_1) False)
% 3.98/4.19 (Eq (greater (vplus (vmul a_1 vd469) (vmul (vskolem9 a a_1) vd469)) (vmul a_1 vd469)) True)
% 3.98/4.19 Clause #44 (by forward demodulation #[43, 31]): ∀ (a a_1 : Iota),
% 3.98/4.19 Or (Eq (greater a a_1) False)
% 3.98/4.19 (Eq (greater (vplus (vmul a_1 vd469) (vmul vd469 (vskolem9 a a_1))) (vmul a_1 vd469)) True)
% 3.98/4.19 Clause #45 (by superposition #[44, 1]): Or (Eq (greater (vplus (vmul vd480 vd469) (vmul vd469 (vskolem9 vd481 vd480))) (vmul vd480 vd469)) True) (Eq False True)
% 3.98/4.19 Clause #52 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Vd471 : Iota), greater a Vd471 → Eq a (vplus Vd471 (vskolem9 a Vd471))) True
% 3.98/4.19 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (greater a a_1 → Eq a (vplus a_1 (vskolem9 a a_1))) True
% 3.98/4.19 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (Eq a (vplus a_1 (vskolem9 a a_1))) True)
% 3.98/4.19 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq a (vplus a_1 (vskolem9 a a_1)))
% 3.98/4.19 Clause #56 (by superposition #[55, 1]): Or (Eq vd481 (vplus vd480 (vskolem9 vd481 vd480))) (Eq False True)
% 3.98/4.19 Clause #57 (by clausification #[56]): Eq vd481 (vplus vd480 (vskolem9 vd481 vd480))
% 3.98/4.19 Clause #223 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Vd433 Vd434 : Iota), Eq (vmul a (vplus Vd433 Vd434)) (vplus (vmul a Vd433) (vmul a Vd434))) True
% 3.98/4.19 Clause #224 (by clausification #[223]): ∀ (a a_1 : Iota), Eq (∀ (Vd434 : Iota), Eq (vmul a (vplus a_1 Vd434)) (vplus (vmul a a_1) (vmul a Vd434))) True
% 3.98/4.19 Clause #225 (by clausification #[224]): ∀ (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
% 3.98/4.19 Clause #226 (by clausification #[225]): ∀ (a a_1 a_2 : Iota), Eq (vmul a (vplus a_1 a_2)) (vplus (vmul a a_1) (vmul a a_2))
% 3.98/4.19 Clause #419 (by clausification #[45]): Eq (greater (vplus (vmul vd480 vd469) (vmul vd469 (vskolem9 vd481 vd480))) (vmul vd480 vd469)) True
% 3.98/4.19 Clause #420 (by forward demodulation #[419, 31]): Eq (greater (vplus (vmul vd480 vd469) (vmul vd469 (vskolem9 vd481 vd480))) (vmul vd469 vd480)) True
% 3.98/4.19 Clause #421 (by forward demodulation #[420, 31]): Eq (greater (vplus (vmul vd469 vd480) (vmul vd469 (vskolem9 vd481 vd480))) (vmul vd469 vd480)) True
% 3.98/4.19 Clause #422 (by forward demodulation #[421, 226]): Eq (greater (vmul vd469 (vplus vd480 (vskolem9 vd481 vd480))) (vmul vd469 vd480)) True
% 3.98/4.19 Clause #423 (by forward demodulation #[422, 57]): Eq (greater (vmul vd469 vd481) (vmul vd469 vd480)) True
% 3.98/4.19 Clause #424 (by superposition #[423, 34]): Eq True False
% 3.98/4.19 Clause #440 (by clausification #[424]): False
% 3.98/4.19 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------