TSTP Solution File: SEU160+1 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 16:40:31 EDT 2023
% Result : Theorem 3.59s 3.80s
% Output : Proof 3.59s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEU160+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : duper %s
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Aug 23 20:22:57 EDT 2023
% 0.10/0.32 % CPUTime :
% 3.59/3.80 SZS status Theorem for theBenchmark.p
% 3.59/3.80 SZS output start Proof for theBenchmark.p
% 3.59/3.80 Clause #2 (by assumption #[]): Eq (∀ (A : Iota), Iota → subset A A) True
% 3.59/3.80 Clause #5 (by assumption #[]): Eq (Not (∀ (A B : Iota), Iff (subset A (singleton B)) (Or (Eq A empty_set) (Eq A (singleton B))))) True
% 3.59/3.80 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset A (singleton B)) (Or (Eq A empty_set) (Eq A (singleton B)))) True
% 3.59/3.80 Clause #9 (by clausification #[2]): ∀ (a : Iota), Eq (Iota → subset a a) True
% 3.59/3.80 Clause #10 (by clausification #[9]): ∀ (a : Iota), Iota → Eq (subset a a) True
% 3.59/3.80 Clause #13 (by clausification #[5]): Eq (∀ (A B : Iota), Iff (subset A (singleton B)) (Or (Eq A empty_set) (Eq A (singleton B)))) False
% 3.59/3.80 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 3.59/3.80 Eq
% 3.59/3.80 (Not
% 3.59/3.80 (∀ (B : Iota),
% 3.59/3.80 Iff (subset (skS.0 2 a) (singleton B)) (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton B)))))
% 3.59/3.80 True
% 3.59/3.80 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 3.59/3.80 Eq
% 3.59/3.80 (∀ (B : Iota),
% 3.59/3.80 Iff (subset (skS.0 2 a) (singleton B)) (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton B))))
% 3.59/3.80 False
% 3.59/3.80 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota),
% 3.59/3.80 Eq
% 3.59/3.80 (Not
% 3.59/3.80 (Iff (subset (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.80 (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))))))
% 3.59/3.80 True
% 3.59/3.80 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota),
% 3.59/3.80 Eq
% 3.59/3.80 (Iff (subset (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.80 (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))))
% 3.59/3.80 False
% 3.59/3.80 Clause #18 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False)
% 3.59/3.80 (Eq (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))) False)
% 3.59/3.80 Clause #19 (by clausification #[17]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) True)
% 3.59/3.80 (Eq (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))) True)
% 3.59/3.80 Clause #20 (by clausification #[18]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False) (Eq (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))) False)
% 3.59/3.80 Clause #21 (by clausification #[18]): ∀ (a a_1 : Iota), Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False) (Eq (Eq (skS.0 2 a) empty_set) False)
% 3.59/3.80 Clause #22 (by clausification #[20]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False) (Ne (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.80 Clause #23 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset a (singleton B)) (Or (Eq a empty_set) (Eq a (singleton B)))) True
% 3.59/3.80 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (Iff (subset a (singleton a_1)) (Or (Eq a empty_set) (Eq a (singleton a_1)))) True
% 3.59/3.80 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) True) (Eq (Or (Eq a empty_set) (Eq a (singleton a_1))) False)
% 3.59/3.80 Clause #26 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Eq (Or (Eq a empty_set) (Eq a (singleton a_1))) True)
% 3.59/3.80 Clause #28 (by clausification #[25]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) True) (Eq (Eq a empty_set) False)
% 3.59/3.80 Clause #31 (by clausification #[28]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) True) (Ne a empty_set)
% 3.59/3.80 Clause #32 (by destructive equality resolution #[31]): ∀ (a : Iota), Eq (subset empty_set (singleton a)) True
% 3.59/3.80 Clause #33 (by clausification #[26]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset a (singleton a_1)) False) (Or (Eq (Eq a empty_set) True) (Eq (Eq a (singleton a_1)) True))
% 3.59/3.80 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Or (Eq (Eq a (singleton a_1)) True) (Eq a empty_set))
% 3.59/3.80 Clause #35 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (subset a (singleton a_1)) False) (Or (Eq a empty_set) (Eq a (singleton a_1)))
% 3.59/3.80 Clause #40 (by clausification #[19]): ∀ (a a_1 : Iota),
% 3.59/3.80 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) True)
% 3.59/3.80 (Or (Eq (Eq (skS.0 2 a) empty_set) True) (Eq (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))) True))
% 3.59/3.81 Clause #41 (by clausification #[40]): ∀ (a a_1 : Iota),
% 3.59/3.81 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) True)
% 3.59/3.81 (Or (Eq (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))) True) (Eq (skS.0 2 a) empty_set))
% 3.59/3.81 Clause #42 (by clausification #[41]): ∀ (a a_1 : Iota),
% 3.59/3.81 Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) True)
% 3.59/3.81 (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))))
% 3.59/3.81 Clause #44 (by superposition #[42, 35]): ∀ (a a_1 : Iota),
% 3.59/3.81 Or (Eq (skS.0 2 a) empty_set)
% 3.59/3.81 (Or (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.81 (Or (Eq True False) (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1))))))
% 3.59/3.81 Clause #45 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False) (Ne (skS.0 2 a) empty_set)
% 3.59/3.81 Clause #49 (by clausification #[44]): ∀ (a a_1 : Iota),
% 3.59/3.81 Or (Eq (skS.0 2 a) empty_set)
% 3.59/3.81 (Or (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.81 (Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))))
% 3.59/3.81 Clause #50 (by eliminate duplicate literals #[49]): ∀ (a a_1 : Iota), Or (Eq (skS.0 2 a) empty_set) (Eq (skS.0 2 a) (singleton (skS.0 3 a a_1)))
% 3.59/3.81 Clause #51 (by superposition #[50, 22]): ∀ (a : Iota),
% 3.59/3.81 Or (Eq (skS.0 2 a) empty_set) (Or (Eq (subset (skS.0 2 a) (skS.0 2 a)) False) (Ne (skS.0 2 a) (skS.0 2 a)))
% 3.59/3.81 Clause #55 (by eliminate resolved literals #[51]): ∀ (a : Iota), Or (Eq (skS.0 2 a) empty_set) (Eq (subset (skS.0 2 a) (skS.0 2 a)) False)
% 3.59/3.81 Clause #56 (by superposition #[55, 10]): ∀ (a : Iota), Or (Eq (skS.0 2 a) empty_set) (Eq False True)
% 3.59/3.81 Clause #57 (by clausification #[56]): ∀ (a : Iota), Eq (skS.0 2 a) empty_set
% 3.59/3.81 Clause #63 (by backward contextual literal cutting #[57, 45]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (singleton (skS.0 3 a a_1))) False
% 3.59/3.81 Clause #64 (by forward demodulation #[63, 57]): ∀ (a a_1 : Iota), Eq (subset empty_set (singleton (skS.0 3 a a_1))) False
% 3.59/3.81 Clause #65 (by superposition #[64, 32]): Eq False True
% 3.59/3.81 Clause #66 (by clausification #[65]): False
% 3.59/3.81 SZS output end Proof for theBenchmark.p
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