TSTP Solution File: SEU614^2 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU614^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n006.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 16:43:00 EDT 2023
% Result : Theorem 3.70s 3.92s
% Output : Proof 3.77s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU614^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 01:34:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.70/3.92 SZS status Theorem for theBenchmark.p
% 3.70/3.92 SZS output start Proof for theBenchmark.p
% 3.70/3.92 Clause #0 (by assumption #[]): Eq
% 3.70/3.92 (Eq symdiffE
% 3.70/3.92 (∀ (A B Xx : Iota),
% 3.70/3.92 in Xx (symdiff A B) →
% 3.70/3.92 ∀ (Xphi : Prop), (in Xx A → Not (in Xx B) → Xphi) → (Not (in Xx A) → in Xx B → Xphi) → Xphi))
% 3.70/3.92 True
% 3.70/3.92 Clause #1 (by assumption #[]): Eq (Not (symdiffE → ∀ (A B Xx : Iota), in Xx A → in Xx B → Not (in Xx (symdiff A B)))) True
% 3.70/3.92 Clause #2 (by clausification #[0]): Eq symdiffE
% 3.70/3.92 (∀ (A B Xx : Iota),
% 3.70/3.92 in Xx (symdiff A B) → ∀ (Xphi : Prop), (in Xx A → Not (in Xx B) → Xphi) → (Not (in Xx A) → in Xx B → Xphi) → Xphi)
% 3.70/3.92 Clause #35 (by clausification #[1]): Eq (symdiffE → ∀ (A B Xx : Iota), in Xx A → in Xx B → Not (in Xx (symdiff A B))) False
% 3.70/3.92 Clause #36 (by clausification #[35]): Eq symdiffE True
% 3.70/3.92 Clause #37 (by clausification #[35]): Eq (∀ (A B Xx : Iota), in Xx A → in Xx B → Not (in Xx (symdiff A B))) False
% 3.70/3.92 Clause #38 (by backward demodulation #[36, 2]): Eq True
% 3.70/3.92 (∀ (A B Xx : Iota),
% 3.70/3.92 in Xx (symdiff A B) → ∀ (Xphi : Prop), (in Xx A → Not (in Xx B) → Xphi) → (Not (in Xx A) → in Xx B → Xphi) → Xphi)
% 3.70/3.92 Clause #41 (by clausification #[38]): ∀ (a : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (∀ (B Xx : Iota),
% 3.70/3.92 in Xx (symdiff a B) → ∀ (Xphi : Prop), (in Xx a → Not (in Xx B) → Xphi) → (Not (in Xx a) → in Xx B → Xphi) → Xphi)
% 3.70/3.92 True
% 3.70/3.92 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (∀ (Xx : Iota),
% 3.70/3.92 in Xx (symdiff a a_1) →
% 3.70/3.92 ∀ (Xphi : Prop), (in Xx a → Not (in Xx a_1) → Xphi) → (Not (in Xx a) → in Xx a_1 → Xphi) → Xphi)
% 3.70/3.92 True
% 3.70/3.92 Clause #43 (by clausification #[42]): ∀ (a a_1 a_2 : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (in a (symdiff a_1 a_2) →
% 3.70/3.92 ∀ (Xphi : Prop), (in a a_1 → Not (in a a_2) → Xphi) → (Not (in a a_1) → in a a_2 → Xphi) → Xphi)
% 3.70/3.92 True
% 3.70/3.92 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota),
% 3.70/3.92 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.70/3.92 (Eq (∀ (Xphi : Prop), (in a a_1 → Not (in a a_2) → Xphi) → (Not (in a a_1) → in a a_2 → Xphi) → Xphi) True)
% 3.70/3.92 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.70/3.92 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.70/3.92 (Eq ((in a a_1 → Not (in a a_2) → a_3) → (Not (in a a_1) → in a a_2 → a_3) → a_3) True)
% 3.70/3.92 Clause #46 (by clausification #[45]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.70/3.92 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.70/3.92 (Or (Eq (in a a_1 → Not (in a a_2) → a_3) False) (Eq ((Not (in a a_1) → in a a_2 → a_3) → a_3) True))
% 3.70/3.92 Clause #48 (by clausification #[46]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.70/3.92 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.70/3.92 (Or (Eq ((Not (in a a_1) → in a a_2 → a_3) → a_3) True) (Eq (Not (in a a_2) → a_3) False))
% 3.70/3.92 Clause #53 (by clausification #[37]): ∀ (a : Iota), Eq (Not (∀ (B Xx : Iota), in Xx (skS.0 4 a) → in Xx B → Not (in Xx (symdiff (skS.0 4 a) B)))) True
% 3.70/3.92 Clause #54 (by clausification #[53]): ∀ (a : Iota), Eq (∀ (B Xx : Iota), in Xx (skS.0 4 a) → in Xx B → Not (in Xx (symdiff (skS.0 4 a) B))) False
% 3.70/3.92 Clause #55 (by clausification #[54]): ∀ (a a_1 : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (Not (∀ (Xx : Iota), in Xx (skS.0 4 a) → in Xx (skS.0 5 a a_1) → Not (in Xx (symdiff (skS.0 4 a) (skS.0 5 a a_1)))))
% 3.70/3.92 True
% 3.70/3.92 Clause #56 (by clausification #[55]): ∀ (a a_1 : Iota),
% 3.70/3.92 Eq (∀ (Xx : Iota), in Xx (skS.0 4 a) → in Xx (skS.0 5 a a_1) → Not (in Xx (symdiff (skS.0 4 a) (skS.0 5 a a_1))))
% 3.70/3.92 False
% 3.70/3.92 Clause #57 (by clausification #[56]): ∀ (a a_1 a_2 : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (Not
% 3.70/3.92 (in (skS.0 6 a a_1 a_2) (skS.0 4 a) →
% 3.70/3.92 in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1) → Not (in (skS.0 6 a a_1 a_2) (symdiff (skS.0 4 a) (skS.0 5 a a_1)))))
% 3.70/3.92 True
% 3.70/3.92 Clause #58 (by clausification #[57]): ∀ (a a_1 a_2 : Iota),
% 3.70/3.92 Eq
% 3.70/3.92 (in (skS.0 6 a a_1 a_2) (skS.0 4 a) →
% 3.70/3.92 in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1) → Not (in (skS.0 6 a a_1 a_2) (symdiff (skS.0 4 a) (skS.0 5 a a_1))))
% 3.70/3.92 False
% 3.70/3.92 Clause #59 (by clausification #[58]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (skS.0 4 a)) True
% 3.70/3.92 Clause #60 (by clausification #[58]): ∀ (a a_1 a_2 : Iota),
% 3.77/3.93 Eq (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1) → Not (in (skS.0 6 a a_1 a_2) (symdiff (skS.0 4 a) (skS.0 5 a a_1)))) False
% 3.77/3.93 Clause #61 (by clausification #[48]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.77/3.93 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.77/3.93 (Or (Eq (Not (in a a_2) → a_3) False) (Or (Eq (Not (in a a_1) → in a a_2 → a_3) False) (Eq a_3 True)))
% 3.77/3.93 Clause #62 (by clausification #[61]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.77/3.93 Or (Eq (in a (symdiff a_1 a_2)) False)
% 3.77/3.93 (Or (Eq (Not (in a a_1) → in a a_2 → a_3) False) (Or (Eq a_3 True) (Eq (Not (in a a_2)) True)))
% 3.77/3.93 Clause #64 (by clausification #[62]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.77/3.93 Or (Eq (in a (symdiff a_1 a_2)) False) (Or (Eq a_3 True) (Or (Eq (Not (in a a_2)) True) (Eq (Not (in a a_1)) True)))
% 3.77/3.93 Clause #66 (by clausification #[64]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.77/3.93 Or (Eq (in a (symdiff a_1 a_2)) False) (Or (Eq a_3 True) (Or (Eq (Not (in a a_1)) True) (Eq (in a a_2) False)))
% 3.77/3.93 Clause #67 (by clausification #[66]): ∀ (a a_1 a_2 : Iota) (a_3 : Prop),
% 3.77/3.93 Or (Eq (in a (symdiff a_1 a_2)) False) (Or (Eq a_3 True) (Or (Eq (in a a_2) False) (Eq (in a a_1) False)))
% 3.77/3.93 Clause #105 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (skS.0 5 a a_1)) True
% 3.77/3.93 Clause #106 (by clausification #[60]): ∀ (a a_1 a_2 : Iota), Eq (Not (in (skS.0 6 a a_1 a_2) (symdiff (skS.0 4 a) (skS.0 5 a a_1)))) False
% 3.77/3.93 Clause #107 (by clausification #[106]): ∀ (a a_1 a_2 : Iota), Eq (in (skS.0 6 a a_1 a_2) (symdiff (skS.0 4 a) (skS.0 5 a a_1))) True
% 3.77/3.93 Clause #108 (by superposition #[107, 67]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota),
% 3.77/3.93 Or (Eq True False)
% 3.77/3.93 (Or (Eq a True)
% 3.77/3.93 (Or (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) False) (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 4 a_1)) False)))
% 3.77/3.93 Clause #112 (by clausification #[108]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota),
% 3.77/3.93 Or (Eq a True)
% 3.77/3.93 (Or (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) False) (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 4 a_1)) False))
% 3.77/3.93 Clause #113 (by forward demodulation #[112, 59]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota),
% 3.77/3.93 Or (Eq a True) (Or (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) False) (Eq True False))
% 3.77/3.93 Clause #114 (by clausification #[113]): ∀ (a : Prop) (a_1 a_2 a_3 : Iota), Or (Eq a True) (Eq (in (skS.0 6 a_1 a_2 a_3) (skS.0 5 a_1 a_2)) False)
% 3.77/3.93 Clause #115 (by superposition #[114, 105]): ∀ (a : Prop), Or (Eq a True) (Eq False True)
% 3.77/3.93 Clause #116 (by clausification #[115]): ∀ (a : Prop), Eq a True
% 3.77/3.93 Clause #117 (by falseElim #[116]): False
% 3.77/3.93 SZS output end Proof for theBenchmark.p
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