TSTP Solution File: SEU133+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SEU133+1 : TPTP v8.1.2. Released v3.3.0.
% 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 16:40:21 EDT 2023
% Result : Theorem 3.96s 4.12s
% Output : Proof 3.96s
% 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 : SEU133+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 16:28:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.96/4.12 SZS status Theorem for theBenchmark.p
% 3.96/4.12 SZS output start Proof for theBenchmark.p
% 3.96/4.12 Clause #1 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A B) (∀ (C : Iota), in C A → in C B)) True
% 3.96/4.12 Clause #2 (by assumption #[]): Eq (∀ (A B C : Iota), Iff (Eq C (set_difference A B)) (∀ (D : Iota), Iff (in D C) (And (in D A) (Not (in D B))))) True
% 3.96/4.12 Clause #8 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset (set_difference A B) A)) True
% 3.96/4.12 Clause #34 (by clausification #[8]): Eq (∀ (A B : Iota), subset (set_difference A B) A) False
% 3.96/4.12 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (Not (∀ (B : Iota), subset (set_difference (skS.0 2 a) B) (skS.0 2 a))) True
% 3.96/4.12 Clause #36 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (B : Iota), subset (set_difference (skS.0 2 a) B) (skS.0 2 a)) False
% 3.96/4.12 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (Not (subset (set_difference (skS.0 2 a) (skS.0 3 a a_1)) (skS.0 2 a))) True
% 3.96/4.12 Clause #38 (by clausification #[37]): ∀ (a a_1 : Iota), Eq (subset (set_difference (skS.0 2 a) (skS.0 3 a a_1)) (skS.0 2 a)) False
% 3.96/4.12 Clause #39 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a B) (∀ (C : Iota), in C a → in C B)) True
% 3.96/4.12 Clause #40 (by clausification #[39]): ∀ (a a_1 : Iota), Eq (Iff (subset a a_1) (∀ (C : Iota), in C a → in C a_1)) True
% 3.96/4.12 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) True) (Eq (∀ (C : Iota), in C a → in C a_1) False)
% 3.96/4.12 Clause #43 (by clausification #[41]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.12 Or (Eq (subset a a_1) True) (Eq (Not (in (skS.0 4 a a_1 a_2) a → in (skS.0 4 a a_1 a_2) a_1)) True)
% 3.96/4.12 Clause #44 (by clausification #[43]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 4 a a_1 a_2) a → in (skS.0 4 a a_1 a_2) a_1) False)
% 3.96/4.12 Clause #45 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 4 a a_1 a_2) a) True)
% 3.96/4.12 Clause #46 (by clausification #[44]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) True) (Eq (in (skS.0 4 a a_1 a_2) a_1) False)
% 3.96/4.12 Clause #61 (by clausification #[2]): ∀ (a : Iota),
% 3.96/4.12 Eq (∀ (B C : Iota), Iff (Eq C (set_difference a B)) (∀ (D : Iota), Iff (in D C) (And (in D a) (Not (in D B))))) True
% 3.96/4.12 Clause #62 (by clausification #[61]): ∀ (a a_1 : Iota),
% 3.96/4.12 Eq (∀ (C : Iota), Iff (Eq C (set_difference a a_1)) (∀ (D : Iota), Iff (in D C) (And (in D a) (Not (in D a_1))))) True
% 3.96/4.12 Clause #63 (by clausification #[62]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.12 Eq (Iff (Eq a (set_difference a_1 a_2)) (∀ (D : Iota), Iff (in D a) (And (in D a_1) (Not (in D a_2))))) True
% 3.96/4.12 Clause #65 (by clausification #[63]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.12 Or (Eq (Eq a (set_difference a_1 a_2)) False) (Eq (∀ (D : Iota), Iff (in D a) (And (in D a_1) (Not (in D a_2)))) True)
% 3.96/4.12 Clause #89 (by clausification #[65]): ∀ (a a_1 a_2 : Iota),
% 3.96/4.12 Or (Eq (∀ (D : Iota), Iff (in D a) (And (in D a_1) (Not (in D a_2)))) True) (Ne a (set_difference a_1 a_2))
% 3.96/4.12 Clause #90 (by clausification #[89]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.12 Or (Ne a (set_difference a_1 a_2)) (Eq (Iff (in a_3 a) (And (in a_3 a_1) (Not (in a_3 a_2)))) True)
% 3.96/4.12 Clause #92 (by clausification #[90]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.12 Or (Ne a (set_difference a_1 a_2)) (Or (Eq (in a_3 a) False) (Eq (And (in a_3 a_1) (Not (in a_3 a_2))) True))
% 3.96/4.12 Clause #98 (by clausification #[92]): ∀ (a a_1 a_2 a_3 : Iota), Or (Ne a (set_difference a_1 a_2)) (Or (Eq (in a_3 a) False) (Eq (in a_3 a_1) True))
% 3.96/4.12 Clause #108 (by destructive equality resolution #[98]): ∀ (a a_1 a_2 : Iota), Or (Eq (in a (set_difference a_1 a_2)) False) (Eq (in a a_1) True)
% 3.96/4.12 Clause #109 (by superposition #[108, 45]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.12 Or (Eq (in (skS.0 4 (set_difference a a_1) a_2 a_3) a) True)
% 3.96/4.12 (Or (Eq (subset (set_difference a a_1) a_2) True) (Eq False True))
% 3.96/4.12 Clause #113 (by clausification #[109]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.96/4.12 Or (Eq (in (skS.0 4 (set_difference a a_1) a_2 a_3) a) True) (Eq (subset (set_difference a a_1) a_2) True)
% 3.96/4.12 Clause #118 (by superposition #[113, 46]): ∀ (a a_1 : Iota),
% 3.96/4.12 Or (Eq (subset (set_difference a a_1) a) True) (Or (Eq (subset (set_difference a a_1) a) True) (Eq True False))
% 3.96/4.12 Clause #136 (by clausification #[118]): ∀ (a a_1 : Iota), Or (Eq (subset (set_difference a a_1) a) True) (Eq (subset (set_difference a a_1) a) True)
% 3.96/4.12 Clause #137 (by eliminate duplicate literals #[136]): ∀ (a a_1 : Iota), Eq (subset (set_difference a a_1) a) True
% 3.96/4.12 Clause #138 (by superposition #[137, 38]): Eq True False
% 3.96/4.12 Clause #141 (by clausification #[138]): False
% 3.96/4.12 SZS output end Proof for theBenchmark.p
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