TSTP Solution File: ITP119^2 by Duper---1.0
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% File : Duper---1.0
% Problem : ITP119^2 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n002.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 03:38:50 EDT 2023
% Result : Theorem 114.64s 115.53s
% Output : Proof 114.99s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ITP119^2 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.12 % Command : duper %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun Aug 27 13:07:03 EDT 2023
% 0.11/0.32 % CPUTime :
% 114.64/115.53 SZS status Theorem for theBenchmark.p
% 114.64/115.53 SZS output start Proof for theBenchmark.p
% 114.64/115.53 Clause #1 (by assumption #[]): Eq (∀ (B2 A2 : a), less B2 A2 → Ne A2 B2) True
% 114.64/115.53 Clause #10 (by assumption #[]): Eq (∀ (A2 B2 : a), Eq (inf A2 B2) (inf B2 A2)) True
% 114.64/115.53 Clause #13 (by assumption #[]): Eq (∀ (A2 B2 : a), Eq (sup A2 B2) (sup B2 A2)) True
% 114.64/115.53 Clause #14 (by assumption #[]): Eq (∀ (B2 A2 C : a), Eq (sup B2 (sup A2 C)) (sup A2 (sup B2 C))) True
% 114.64/115.53 Clause #26 (by assumption #[]): Eq (∀ (A2 : a), Eq (inf A2 A2) A2) True
% 114.64/115.53 Clause #29 (by assumption #[]): Eq (∀ (A2 : a), Eq (sup A2 A2) A2) True
% 114.64/115.53 Clause #38 (by assumption #[]): Eq (∀ (X Y : a), Eq (sup X (inf X Y)) X) True
% 114.64/115.53 Clause #228 (by assumption #[]): Eq (Eq b (inf b c)) True
% 114.64/115.53 Clause #229 (by assumption #[]): Eq (Eq (inf c (sup b c)) b) True
% 114.64/115.53 Clause #230 (by assumption #[]): Eq (Eq a2 (sup b c)) True
% 114.64/115.53 Clause #231 (by assumption #[]): Eq (less b (sup b c)) True
% 114.64/115.53 Clause #239 (by clausification #[1]): ∀ (a_1 : a), Eq (∀ (A2 : a), less a_1 A2 → Ne A2 a_1) True
% 114.64/115.53 Clause #240 (by clausification #[239]): ∀ (a_1 a_2 : a), Eq (less a_1 a_2 → Ne a_2 a_1) True
% 114.64/115.53 Clause #241 (by clausification #[240]): ∀ (a_1 a_2 : a), Or (Eq (less a_1 a_2) False) (Eq (Ne a_2 a_1) True)
% 114.64/115.53 Clause #242 (by clausification #[241]): ∀ (a_1 a_2 : a), Or (Eq (less a_1 a_2) False) (Ne a_2 a_1)
% 114.64/115.53 Clause #243 (by destructive equality resolution #[242]): ∀ (a : a), Eq (less a a) False
% 114.64/115.53 Clause #252 (by clausification #[228]): Eq b (inf b c)
% 114.64/115.53 Clause #253 (by clausification #[230]): Eq a2 (sup b c)
% 114.64/115.53 Clause #254 (by backward demodulation #[253, 231]): Eq (less b a2) True
% 114.64/115.53 Clause #1571 (by clausification #[10]): ∀ (a_1 : a), Eq (∀ (B2 : a), Eq (inf a_1 B2) (inf B2 a_1)) True
% 114.64/115.53 Clause #1572 (by clausification #[1571]): ∀ (a_1 a_2 : a), Eq (Eq (inf a_1 a_2) (inf a_2 a_1)) True
% 114.64/115.53 Clause #1573 (by clausification #[1572]): ∀ (a_1 a_2 : a), Eq (inf a_1 a_2) (inf a_2 a_1)
% 114.64/115.53 Clause #1574 (by superposition #[1573, 252]): Eq b (inf c b)
% 114.64/115.53 Clause #2124 (by clausification #[13]): ∀ (a_1 : a), Eq (∀ (B2 : a), Eq (sup a_1 B2) (sup B2 a_1)) True
% 114.64/115.53 Clause #2125 (by clausification #[2124]): ∀ (a_1 a_2 : a), Eq (Eq (sup a_1 a_2) (sup a_2 a_1)) True
% 114.64/115.53 Clause #2126 (by clausification #[2125]): ∀ (a_1 a_2 : a), Eq (sup a_1 a_2) (sup a_2 a_1)
% 114.64/115.53 Clause #2127 (by superposition #[2126, 253]): Eq a2 (sup c b)
% 114.64/115.53 Clause #2222 (by clausification #[14]): ∀ (a_1 : a), Eq (∀ (A2 C : a), Eq (sup a_1 (sup A2 C)) (sup A2 (sup a_1 C))) True
% 114.64/115.53 Clause #2223 (by clausification #[2222]): ∀ (a_1 a_2 : a), Eq (∀ (C : a), Eq (sup a_1 (sup a_2 C)) (sup a_2 (sup a_1 C))) True
% 114.64/115.53 Clause #2224 (by clausification #[2223]): ∀ (a_1 a_2 a_3 : a), Eq (Eq (sup a_1 (sup a_2 a_3)) (sup a_2 (sup a_1 a_3))) True
% 114.64/115.53 Clause #2225 (by clausification #[2224]): ∀ (a_1 a_2 a_3 : a), Eq (sup a_1 (sup a_2 a_3)) (sup a_2 (sup a_1 a_3))
% 114.64/115.53 Clause #3883 (by clausification #[26]): ∀ (a_1 : a), Eq (Eq (inf a_1 a_1) a_1) True
% 114.64/115.53 Clause #3884 (by clausification #[3883]): ∀ (a_1 : a), Eq (inf a_1 a_1) a_1
% 114.64/115.53 Clause #3945 (by clausification #[29]): ∀ (a_1 : a), Eq (Eq (sup a_1 a_1) a_1) True
% 114.64/115.53 Clause #3946 (by clausification #[3945]): ∀ (a_1 : a), Eq (sup a_1 a_1) a_1
% 114.64/115.53 Clause #3956 (by superposition #[3946, 2225]): ∀ (a_1 a_2 : a), Eq (sup a_1 (sup a_2 a_1)) (sup a_2 a_1)
% 114.64/115.53 Clause #7823 (by clausification #[38]): ∀ (a_1 : a), Eq (∀ (Y : a), Eq (sup a_1 (inf a_1 Y)) a_1) True
% 114.64/115.53 Clause #7824 (by clausification #[7823]): ∀ (a_1 a_2 : a), Eq (Eq (sup a_1 (inf a_1 a_2)) a_1) True
% 114.64/115.53 Clause #7825 (by clausification #[7824]): ∀ (a_1 a_2 : a), Eq (sup a_1 (inf a_1 a_2)) a_1
% 114.64/115.53 Clause #7844 (by superposition #[7825, 1574]): Eq (sup c b) c
% 114.64/115.53 Clause #7926 (by superposition #[7844, 2127]): Eq a2 c
% 114.64/115.53 Clause #7934 (by superposition #[7844, 3956]): Eq (sup b c) c
% 114.64/115.53 Clause #8015 (by backward demodulation #[7926, 254]): Eq (less b c) True
% 114.64/115.53 Clause #25723 (by clausification #[229]): Eq (inf c (sup b c)) b
% 114.64/115.53 Clause #25724 (by forward demodulation #[25723, 7934]): Eq (inf c c) b
% 114.64/115.53 Clause #25728 (by superposition #[25724, 3884]): Eq b c
% 114.64/115.53 Clause #25870 (by backward demodulation #[25728, 8015]): Eq (less c c) True
% 114.64/115.53 Clause #26297 (by superposition #[25870, 243]): Eq True False
% 114.99/116.03 Clause #26434 (by clausification #[26297]): False
% 114.99/116.03 SZS output end Proof for theBenchmark.p
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