TSTP Solution File: KRS003_1 by Duper---1.0
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% File : Duper---1.0
% Problem : KRS003_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 05:43:03 EDT 2023
% Result : Theorem 3.61s 3.83s
% Output : Proof 3.61s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS003_1 : TPTP v8.1.2. Released v5.0.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:31:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.61/3.83 SZS status Theorem for theBenchmark.p
% 3.61/3.83 SZS output start Proof for theBenchmark.p
% 3.61/3.83 Clause #0 (by assumption #[]): Eq (∀ (X1 : unreal), c X1 → s2least X1) True
% 3.61/3.83 Clause #2 (by assumption #[]): Eq (∀ (X1 : unreal), Not (And (s2least X1) (equalish (u1r2 X1) (u1r1 X1)))) True
% 3.61/3.83 Clause #3 (by assumption #[]): Eq (∀ (X1 : unreal), s2least X1 → s X1 (u1r1 X1)) True
% 3.61/3.83 Clause #4 (by assumption #[]): Eq (∀ (X1 : unreal), s2least X1 → s X1 (u1r2 X1)) True
% 3.61/3.83 Clause #6 (by assumption #[]): Eq (∀ (X1 : unreal), d X1 → s1most X1) True
% 3.61/3.83 Clause #8 (by assumption #[]): Eq (∀ (X2 X3 : real) (X1 : unreal), And (And (s1most X1) (s X1 X3)) (s X1 X2) → equalish X3 X2) True
% 3.61/3.83 Clause #12 (by assumption #[]): Eq (∀ (X1 : unreal), e X1 → c X1) True
% 3.61/3.83 Clause #13 (by assumption #[]): Eq (∀ (X1 : unreal), f X1 → d X1) True
% 3.61/3.83 Clause #14 (by assumption #[]): Eq (Not (Or (Not (e exist)) (Not (f exist)))) True
% 3.61/3.83 Clause #15 (by clausification #[13]): ∀ (a : unreal), Eq (f a → d a) True
% 3.61/3.83 Clause #16 (by clausification #[15]): ∀ (a : unreal), Or (Eq (f a) False) (Eq (d a) True)
% 3.61/3.83 Clause #17 (by clausification #[12]): ∀ (a : unreal), Eq (e a → c a) True
% 3.61/3.83 Clause #18 (by clausification #[17]): ∀ (a : unreal), Or (Eq (e a) False) (Eq (c a) True)
% 3.61/3.83 Clause #23 (by clausification #[6]): ∀ (a : unreal), Eq (d a → s1most a) True
% 3.61/3.83 Clause #24 (by clausification #[23]): ∀ (a : unreal), Or (Eq (d a) False) (Eq (s1most a) True)
% 3.61/3.83 Clause #25 (by clausification #[0]): ∀ (a : unreal), Eq (c a → s2least a) True
% 3.61/3.83 Clause #26 (by clausification #[25]): ∀ (a : unreal), Or (Eq (c a) False) (Eq (s2least a) True)
% 3.61/3.83 Clause #29 (by clausification #[3]): ∀ (a : unreal), Eq (s2least a → s a (u1r1 a)) True
% 3.61/3.83 Clause #30 (by clausification #[29]): ∀ (a : unreal), Or (Eq (s2least a) False) (Eq (s a (u1r1 a)) True)
% 3.61/3.83 Clause #31 (by clausification #[4]): ∀ (a : unreal), Eq (s2least a → s a (u1r2 a)) True
% 3.61/3.83 Clause #32 (by clausification #[31]): ∀ (a : unreal), Or (Eq (s2least a) False) (Eq (s a (u1r2 a)) True)
% 3.61/3.83 Clause #33 (by clausification #[8]): ∀ (a : real), Eq (∀ (X3 : real) (X1 : unreal), And (And (s1most X1) (s X1 X3)) (s X1 a) → equalish X3 a) True
% 3.61/3.83 Clause #34 (by clausification #[33]): ∀ (a a_1 : real), Eq (∀ (X1 : unreal), And (And (s1most X1) (s X1 a)) (s X1 a_1) → equalish a a_1) True
% 3.61/3.83 Clause #35 (by clausification #[34]): ∀ (a : unreal) (a_1 a_2 : real), Eq (And (And (s1most a) (s a a_1)) (s a a_2) → equalish a_1 a_2) True
% 3.61/3.83 Clause #36 (by clausification #[35]): ∀ (a : unreal) (a_1 a_2 : real), Or (Eq (And (And (s1most a) (s a a_1)) (s a a_2)) False) (Eq (equalish a_1 a_2) True)
% 3.61/3.83 Clause #37 (by clausification #[36]): ∀ (a a_1 : real) (a_2 : unreal),
% 3.61/3.83 Or (Eq (equalish a a_1) True) (Or (Eq (And (s1most a_2) (s a_2 a)) False) (Eq (s a_2 a_1) False))
% 3.61/3.83 Clause #38 (by clausification #[37]): ∀ (a a_1 : real) (a_2 : unreal),
% 3.61/3.83 Or (Eq (equalish a a_1) True) (Or (Eq (s a_2 a_1) False) (Or (Eq (s1most a_2) False) (Eq (s a_2 a) False)))
% 3.61/3.83 Clause #39 (by clausification #[14]): Eq (Or (Not (e exist)) (Not (f exist))) False
% 3.61/3.83 Clause #40 (by clausification #[39]): Eq (Not (f exist)) False
% 3.61/3.83 Clause #41 (by clausification #[39]): Eq (Not (e exist)) False
% 3.61/3.83 Clause #42 (by clausification #[40]): Eq (f exist) True
% 3.61/3.83 Clause #43 (by superposition #[42, 16]): Or (Eq True False) (Eq (d exist) True)
% 3.61/3.83 Clause #44 (by clausification #[2]): ∀ (a : unreal), Eq (Not (And (s2least a) (equalish (u1r2 a) (u1r1 a)))) True
% 3.61/3.83 Clause #45 (by clausification #[44]): ∀ (a : unreal), Eq (And (s2least a) (equalish (u1r2 a) (u1r1 a))) False
% 3.61/3.83 Clause #46 (by clausification #[45]): ∀ (a : unreal), Or (Eq (s2least a) False) (Eq (equalish (u1r2 a) (u1r1 a)) False)
% 3.61/3.83 Clause #47 (by clausification #[41]): Eq (e exist) True
% 3.61/3.83 Clause #48 (by superposition #[47, 18]): Or (Eq True False) (Eq (c exist) True)
% 3.61/3.83 Clause #49 (by clausification #[48]): Eq (c exist) True
% 3.61/3.83 Clause #50 (by superposition #[49, 26]): Or (Eq True False) (Eq (s2least exist) True)
% 3.61/3.83 Clause #51 (by clausification #[50]): Eq (s2least exist) True
% 3.61/3.83 Clause #52 (by superposition #[51, 30]): Or (Eq True False) (Eq (s exist (u1r1 exist)) True)
% 3.61/3.83 Clause #53 (by superposition #[51, 32]): Or (Eq True False) (Eq (s exist (u1r2 exist)) True)
% 3.61/3.84 Clause #54 (by superposition #[51, 46]): Or (Eq True False) (Eq (equalish (u1r2 exist) (u1r1 exist)) False)
% 3.61/3.84 Clause #55 (by clausification #[43]): Eq (d exist) True
% 3.61/3.84 Clause #56 (by superposition #[55, 24]): Or (Eq True False) (Eq (s1most exist) True)
% 3.61/3.84 Clause #57 (by clausification #[56]): Eq (s1most exist) True
% 3.61/3.84 Clause #64 (by clausification #[53]): Eq (s exist (u1r2 exist)) True
% 3.61/3.84 Clause #67 (by clausification #[52]): Eq (s exist (u1r1 exist)) True
% 3.61/3.84 Clause #68 (by superposition #[67, 38]): ∀ (a : real),
% 3.61/3.84 Or (Eq (equalish a (u1r1 exist)) True) (Or (Eq True False) (Or (Eq (s1most exist) False) (Eq (s exist a) False)))
% 3.61/3.84 Clause #70 (by clausification #[54]): Eq (equalish (u1r2 exist) (u1r1 exist)) False
% 3.61/3.84 Clause #94 (by clausification #[68]): ∀ (a : real), Or (Eq (equalish a (u1r1 exist)) True) (Or (Eq (s1most exist) False) (Eq (s exist a) False))
% 3.61/3.84 Clause #95 (by forward demodulation #[94, 57]): ∀ (a : real), Or (Eq (equalish a (u1r1 exist)) True) (Or (Eq True False) (Eq (s exist a) False))
% 3.61/3.84 Clause #96 (by clausification #[95]): ∀ (a : real), Or (Eq (equalish a (u1r1 exist)) True) (Eq (s exist a) False)
% 3.61/3.84 Clause #97 (by superposition #[96, 64]): Or (Eq (equalish (u1r2 exist) (u1r1 exist)) True) (Eq False True)
% 3.61/3.84 Clause #102 (by clausification #[97]): Eq (equalish (u1r2 exist) (u1r1 exist)) True
% 3.61/3.84 Clause #103 (by superposition #[102, 70]): Eq True False
% 3.61/3.84 Clause #104 (by clausification #[103]): False
% 3.61/3.84 SZS output end Proof for theBenchmark.p
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