TSTP Solution File: NUM840+2 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 10:57:55 EDT 2023
% Result : Theorem 7.06s 7.23s
% Output : Proof 7.06s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM840+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n001.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 08:44:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 7.06/7.23 SZS status Theorem for theBenchmark.p
% 7.06/7.23 SZS output start Proof for theBenchmark.p
% 7.06/7.23 Clause #0 (by assumption #[]): Eq (Not (less vd328 vd329)) True
% 7.06/7.23 Clause #1 (by assumption #[]): Eq (less (vplus vd328 vd330) (vplus vd329 vd330)) True
% 7.06/7.23 Clause #4 (by assumption #[]): Eq (∀ (Vd301 Vd302 Vd303 : Iota), less Vd301 Vd302 → less (vplus Vd301 Vd303) (vplus Vd302 Vd303)) True
% 7.06/7.23 Clause #7 (by assumption #[]): Eq (∀ (Vd226 Vd227 : Iota), less Vd226 Vd227 → greater Vd227 Vd226) True
% 7.06/7.23 Clause #8 (by assumption #[]): Eq (∀ (Vd208 Vd209 : Iota), greater Vd208 Vd209 → less Vd209 Vd208) True
% 7.06/7.23 Clause #9 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Or (Eq Vd203 Vd204) (greater Vd203 Vd204)) (less Vd203 Vd204)) True
% 7.06/7.23 Clause #11 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Not (greater Vd203 Vd204)) (Not (less Vd203 Vd204))) True
% 7.06/7.23 Clause #12 (by assumption #[]): Eq (∀ (Vd203 Vd204 : Iota), Or (Ne Vd203 Vd204) (Not (greater Vd203 Vd204))) True
% 7.06/7.23 Clause #27 (by clausification #[0]): Eq (less vd328 vd329) False
% 7.06/7.23 Clause #31 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (Vd227 : Iota), less a Vd227 → greater Vd227 a) True
% 7.06/7.23 Clause #32 (by clausification #[31]): ∀ (a a_1 : Iota), Eq (less a a_1 → greater a_1 a) True
% 7.06/7.23 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (greater a_1 a) True)
% 7.06/7.23 Clause #34 (by clausification #[8]): ∀ (a : Iota), Eq (∀ (Vd209 : Iota), greater a Vd209 → less Vd209 a) True
% 7.06/7.23 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Eq (greater a a_1 → less a_1 a) True
% 7.06/7.23 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (less a_1 a) True)
% 7.06/7.23 Clause #37 (by superposition #[1, 33]): Or (Eq (greater (vplus vd329 vd330) (vplus vd328 vd330)) True) (Eq False True)
% 7.06/7.23 Clause #44 (by clausification #[37]): Eq (greater (vplus vd329 vd330) (vplus vd328 vd330)) True
% 7.06/7.23 Clause #46 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Vd302 Vd303 : Iota), less a Vd302 → less (vplus a Vd303) (vplus Vd302 Vd303)) True
% 7.06/7.23 Clause #47 (by clausification #[46]): ∀ (a a_1 : Iota), Eq (∀ (Vd303 : Iota), less a a_1 → less (vplus a Vd303) (vplus a_1 Vd303)) True
% 7.06/7.23 Clause #48 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Eq (less a a_1 → less (vplus a a_2) (vplus a_1 a_2)) True
% 7.06/7.23 Clause #49 (by clausification #[48]): ∀ (a a_1 a_2 : Iota), Or (Eq (less a a_1) False) (Eq (less (vplus a a_2) (vplus a_1 a_2)) True)
% 7.06/7.23 Clause #65 (by clausification #[12]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Ne a Vd204) (Not (greater a Vd204))) True
% 7.06/7.23 Clause #66 (by clausification #[65]): ∀ (a a_1 : Iota), Eq (Or (Ne a a_1) (Not (greater a a_1))) True
% 7.06/7.23 Clause #67 (by clausification #[66]): ∀ (a a_1 : Iota), Or (Eq (Ne a a_1) True) (Eq (Not (greater a a_1)) True)
% 7.06/7.23 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), Or (Eq (Not (greater a a_1)) True) (Ne a a_1)
% 7.06/7.23 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota), Or (Ne a a_1) (Eq (greater a a_1) False)
% 7.06/7.23 Clause #70 (by destructive equality resolution #[69]): ∀ (a : Iota), Eq (greater a a) False
% 7.06/7.23 Clause #76 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Not (greater a Vd204)) (Not (less a Vd204))) True
% 7.06/7.23 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (Or (Not (greater a a_1)) (Not (less a a_1))) True
% 7.06/7.23 Clause #78 (by clausification #[77]): ∀ (a a_1 : Iota), Or (Eq (Not (greater a a_1)) True) (Eq (Not (less a a_1)) True)
% 7.06/7.23 Clause #79 (by clausification #[78]): ∀ (a a_1 : Iota), Or (Eq (Not (less a a_1)) True) (Eq (greater a a_1) False)
% 7.06/7.23 Clause #80 (by clausification #[79]): ∀ (a a_1 : Iota), Or (Eq (greater a a_1) False) (Eq (less a a_1) False)
% 7.06/7.23 Clause #81 (by superposition #[80, 44]): Or (Eq (less (vplus vd329 vd330) (vplus vd328 vd330)) False) (Eq False True)
% 7.06/7.23 Clause #82 (by clausification #[81]): Eq (less (vplus vd329 vd330) (vplus vd328 vd330)) False
% 7.06/7.23 Clause #89 (by clausification #[9]): ∀ (a : Iota), Eq (∀ (Vd204 : Iota), Or (Or (Eq a Vd204) (greater a Vd204)) (less a Vd204)) True
% 7.06/7.23 Clause #90 (by clausification #[89]): ∀ (a a_1 : Iota), Eq (Or (Or (Eq a a_1) (greater a a_1)) (less a a_1)) True
% 7.06/7.26 Clause #91 (by clausification #[90]): ∀ (a a_1 : Iota), Or (Eq (Or (Eq a a_1) (greater a a_1)) True) (Eq (less a a_1) True)
% 7.06/7.26 Clause #92 (by clausification #[91]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) True) (Or (Eq (Eq a a_1) True) (Eq (greater a a_1) True))
% 7.06/7.26 Clause #93 (by clausification #[92]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) True) (Or (Eq (greater a a_1) True) (Eq a a_1))
% 7.06/7.26 Clause #94 (by superposition #[93, 27]): Or (Eq (greater vd328 vd329) True) (Or (Eq vd328 vd329) (Eq True False))
% 7.06/7.26 Clause #97 (by superposition #[93, 49]): ∀ (a a_1 a_2 : Iota),
% 7.06/7.26 Or (Eq (greater a a_1) True) (Or (Eq a a_1) (Or (Eq True False) (Eq (less (vplus a a_2) (vplus a_1 a_2)) True)))
% 7.06/7.26 Clause #170 (by clausification #[94]): Or (Eq (greater vd328 vd329) True) (Eq vd328 vd329)
% 7.06/7.26 Clause #171 (by superposition #[170, 36]): Or (Eq vd328 vd329) (Or (Eq True False) (Eq (less vd329 vd328) True))
% 7.06/7.26 Clause #179 (by clausification #[171]): Or (Eq vd328 vd329) (Eq (less vd329 vd328) True)
% 7.06/7.26 Clause #1350 (by clausification #[97]): ∀ (a a_1 a_2 : Iota), Or (Eq (greater a a_1) True) (Or (Eq a a_1) (Eq (less (vplus a a_2) (vplus a_1 a_2)) True))
% 7.06/7.26 Clause #1647 (by superposition #[1350, 82]): Or (Eq (greater vd329 vd328) True) (Or (Eq vd329 vd328) (Eq True False))
% 7.06/7.26 Clause #3781 (by clausification #[1647]): Or (Eq (greater vd329 vd328) True) (Eq vd329 vd328)
% 7.06/7.26 Clause #3784 (by superposition #[3781, 80]): Or (Eq vd329 vd328) (Or (Eq True False) (Eq (less vd329 vd328) False))
% 7.06/7.26 Clause #3840 (by clausification #[3784]): Or (Eq vd329 vd328) (Eq (less vd329 vd328) False)
% 7.06/7.26 Clause #3841 (by superposition #[3840, 179]): Or (Eq vd329 vd328) (Or (Eq vd328 vd329) (Eq False True))
% 7.06/7.26 Clause #3859 (by clausification #[3841]): Or (Eq vd329 vd328) (Eq vd328 vd329)
% 7.06/7.26 Clause #3860 (by eliminate duplicate literals #[3859]): Eq vd329 vd328
% 7.06/7.26 Clause #3865 (by backward demodulation #[3860, 44]): Eq (greater (vplus vd328 vd330) (vplus vd328 vd330)) True
% 7.06/7.26 Clause #3936 (by superposition #[3865, 70]): Eq True False
% 7.06/7.26 Clause #4006 (by clausification #[3936]): False
% 7.06/7.26 SZS output end Proof for theBenchmark.p
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