TSTP Solution File: NUM304+1 by Duper---1.0
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% File : Duper---1.0
% Problem : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n017.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 10:55:12 EDT 2023
% Result : Theorem 7.87s 8.07s
% Output : Proof 7.87s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.16 % Problem : NUM304+1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.17 % Command : duper %s
% 0.17/0.38 % Computer : n017.cluster.edu
% 0.17/0.38 % Model : x86_64 x86_64
% 0.17/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38 % Memory : 8042.1875MB
% 0.17/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38 % CPULimit : 300
% 0.17/0.38 % WCLimit : 300
% 0.17/0.38 % DateTime : Fri Aug 25 07:52:25 EDT 2023
% 0.17/0.39 % CPUTime :
% 7.87/8.07 SZS status Theorem for theBenchmark.p
% 7.87/8.07 SZS output start Proof for theBenchmark.p
% 7.87/8.07 Clause #29 (by assumption #[]): Eq (rdn_translate n29 (rdn_pos (rdn (rdnn n9) (rdnn n2)))) True
% 7.87/8.07 Clause #151 (by assumption #[]): Eq (rdn_translate nn24 (rdn_neg (rdn (rdnn n4) (rdnn n2)))) True
% 7.87/8.07 Clause #281 (by assumption #[]): Eq (∀ (X Y RDN_X RDN_Y : Iota), And (rdn_translate X (rdn_neg RDN_X)) (rdn_translate Y (rdn_pos RDN_Y)) → less X Y) True
% 7.87/8.07 Clause #283 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (less X Y) (And (Not (less Y X)) (Ne Y X))) True
% 7.87/8.07 Clause #401 (by assumption #[]): Eq (Not (Exists fun X => Ne X n12)) True
% 7.87/8.07 Clause #443 (by clausification #[281]): ∀ (a : Iota),
% 7.87/8.07 Eq (∀ (Y RDN_X RDN_Y : Iota), And (rdn_translate a (rdn_neg RDN_X)) (rdn_translate Y (rdn_pos RDN_Y)) → less a Y) True
% 7.87/8.07 Clause #444 (by clausification #[443]): ∀ (a a_1 : Iota),
% 7.87/8.07 Eq (∀ (RDN_X RDN_Y : Iota), And (rdn_translate a (rdn_neg RDN_X)) (rdn_translate a_1 (rdn_pos RDN_Y)) → less a a_1)
% 7.87/8.07 True
% 7.87/8.07 Clause #445 (by clausification #[444]): ∀ (a a_1 a_2 : Iota),
% 7.87/8.07 Eq (∀ (RDN_Y : Iota), And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos RDN_Y)) → less a a_2) True
% 7.87/8.07 Clause #446 (by clausification #[445]): ∀ (a a_1 a_2 a_3 : Iota), Eq (And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos a_3)) → less a a_2) True
% 7.87/8.07 Clause #447 (by clausification #[446]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.87/8.07 Or (Eq (And (rdn_translate a (rdn_neg a_1)) (rdn_translate a_2 (rdn_pos a_3))) False) (Eq (less a a_2) True)
% 7.87/8.07 Clause #448 (by clausification #[447]): ∀ (a a_1 a_2 a_3 : Iota),
% 7.87/8.07 Or (Eq (less a a_1) True) (Or (Eq (rdn_translate a (rdn_neg a_2)) False) (Eq (rdn_translate a_1 (rdn_pos a_3)) False))
% 7.87/8.07 Clause #508 (by superposition #[151, 448]): ∀ (a a_1 : Iota), Or (Eq (less nn24 a) True) (Or (Eq (rdn_translate a (rdn_pos a_1)) False) (Eq False True))
% 7.87/8.07 Clause #523 (by clausification #[401]): Eq (Exists fun X => Ne X n12) False
% 7.87/8.07 Clause #524 (by clausification #[523]): ∀ (a : Iota), Eq (Ne a n12) False
% 7.87/8.07 Clause #525 (by clausification #[524]): ∀ (a : Iota), Eq a n12
% 7.87/8.07 Clause #954 (by superposition #[525, 525]): ∀ (a a_1 : Iota), Eq a a_1
% 7.87/8.07 Clause #1552 (by superposition #[29, 954]): ∀ (a : Iota), Eq (rdn_translate n29 a) True
% 7.87/8.07 Clause #1560 (by superposition #[1552, 954]): ∀ (a a_1 : Iota), Eq (rdn_translate a a_1) True
% 7.87/8.07 Clause #1597 (by clausification #[283]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (less a Y) (And (Not (less Y a)) (Ne Y a))) True
% 7.87/8.07 Clause #1598 (by clausification #[1597]): ∀ (a a_1 : Iota), Eq (Iff (less a a_1) (And (Not (less a_1 a)) (Ne a_1 a))) True
% 7.87/8.07 Clause #1600 (by clausification #[1598]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (And (Not (less a_1 a)) (Ne a_1 a)) True)
% 7.87/8.07 Clause #1850 (by clausification #[508]): ∀ (a a_1 : Iota), Or (Eq (less nn24 a) True) (Eq (rdn_translate a (rdn_pos a_1)) False)
% 7.87/8.07 Clause #1851 (by superposition #[1850, 1560]): ∀ (a : Iota), Or (Eq (less nn24 a) True) (Eq False True)
% 7.87/8.07 Clause #1853 (by clausification #[1851]): ∀ (a : Iota), Eq (less nn24 a) True
% 7.87/8.07 Clause #1855 (by superposition #[1853, 954]): ∀ (a a_1 : Iota), Eq (less a a_1) True
% 7.87/8.07 Clause #1929 (by clausification #[1600]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Eq (Ne a_1 a) True)
% 7.87/8.07 Clause #1931 (by clausification #[1929]): ∀ (a a_1 : Iota), Or (Eq (less a a_1) False) (Ne a_1 a)
% 7.87/8.07 Clause #1932 (by destructive equality resolution #[1931]): ∀ (a : Iota), Eq (less a a) False
% 7.87/8.07 Clause #1933 (by superposition #[1932, 1855]): Eq False True
% 7.87/8.07 Clause #1934 (by clausification #[1933]): False
% 7.87/8.07 SZS output end Proof for theBenchmark.p
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