TSTP Solution File: SET813+4 by Duper---1.0
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% File : Duper---1.0
% Problem : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 14:47:40 EDT 2023
% Result : Theorem 4.53s 4.72s
% Output : Proof 4.53s
% 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 : SET813+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n015.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 : Sat Aug 26 13:20:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.53/4.72 SZS status Theorem for theBenchmark.p
% 4.53/4.72 SZS output start Proof for theBenchmark.p
% 4.53/4.72 Clause #4 (by assumption #[]): Eq (∀ (X A B : Iota), Iff (member X (union A B)) (Or (member X A) (member X B))) True
% 4.53/4.72 Clause #7 (by assumption #[]): Eq (∀ (X A : Iota), Iff (member X (singleton A)) (Eq X A)) True
% 4.53/4.72 Clause #18 (by assumption #[]): Eq (∀ (A X : Iota), Iff (member X (suc A)) (member X (union A (singleton A)))) True
% 4.53/4.72 Clause #19 (by assumption #[]): Eq (Not (∀ (A : Iota), member A on → member A (suc A))) True
% 4.53/4.72 Clause #26 (by clausification #[19]): Eq (∀ (A : Iota), member A on → member A (suc A)) False
% 4.53/4.72 Clause #27 (by clausification #[26]): ∀ (a : Iota), Eq (Not (member (skS.0 0 a) on → member (skS.0 0 a) (suc (skS.0 0 a)))) True
% 4.53/4.72 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (member (skS.0 0 a) on → member (skS.0 0 a) (suc (skS.0 0 a))) False
% 4.53/4.72 Clause #30 (by clausification #[28]): ∀ (a : Iota), Eq (member (skS.0 0 a) (suc (skS.0 0 a))) False
% 4.53/4.72 Clause #80 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (A : Iota), Iff (member a (singleton A)) (Eq a A)) True
% 4.53/4.72 Clause #81 (by clausification #[80]): ∀ (a a_1 : Iota), Eq (Iff (member a (singleton a_1)) (Eq a a_1)) True
% 4.53/4.72 Clause #82 (by clausification #[81]): ∀ (a a_1 : Iota), Or (Eq (member a (singleton a_1)) True) (Eq (Eq a a_1) False)
% 4.53/4.72 Clause #84 (by clausification #[82]): ∀ (a a_1 : Iota), Or (Eq (member a (singleton a_1)) True) (Ne a a_1)
% 4.53/4.72 Clause #85 (by destructive equality resolution #[84]): ∀ (a : Iota), Eq (member a (singleton a)) True
% 4.53/4.72 Clause #93 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (A B : Iota), Iff (member a (union A B)) (Or (member a A) (member a B))) True
% 4.53/4.72 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), Iff (member a (union a_1 B)) (Or (member a a_1) (member a B))) True
% 4.53/4.72 Clause #95 (by clausification #[94]): ∀ (a a_1 a_2 : Iota), Eq (Iff (member a (union a_1 a_2)) (Or (member a a_1) (member a a_2))) True
% 4.53/4.72 Clause #96 (by clausification #[95]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (union a_1 a_2)) True) (Eq (Or (member a a_1) (member a a_2)) False)
% 4.53/4.72 Clause #98 (by clausification #[96]): ∀ (a a_1 a_2 : Iota), Or (Eq (member a (union a_1 a_2)) True) (Eq (member a a_2) False)
% 4.53/4.72 Clause #102 (by superposition #[98, 85]): ∀ (a a_1 : Iota), Or (Eq (member a (union a_1 (singleton a))) True) (Eq False True)
% 4.53/4.72 Clause #105 (by clausification #[102]): ∀ (a a_1 : Iota), Eq (member a (union a_1 (singleton a))) True
% 4.53/4.72 Clause #472 (by clausification #[18]): ∀ (a : Iota), Eq (∀ (X : Iota), Iff (member X (suc a)) (member X (union a (singleton a)))) True
% 4.53/4.72 Clause #473 (by clausification #[472]): ∀ (a a_1 : Iota), Eq (Iff (member a (suc a_1)) (member a (union a_1 (singleton a_1)))) True
% 4.53/4.72 Clause #474 (by clausification #[473]): ∀ (a a_1 : Iota), Or (Eq (member a (suc a_1)) True) (Eq (member a (union a_1 (singleton a_1))) False)
% 4.53/4.72 Clause #479 (by superposition #[474, 105]): ∀ (a : Iota), Or (Eq (member a (suc a)) True) (Eq False True)
% 4.53/4.72 Clause #490 (by clausification #[479]): ∀ (a : Iota), Eq (member a (suc a)) True
% 4.53/4.72 Clause #528 (by superposition #[30, 490]): Eq True False
% 4.53/4.72 Clause #529 (by clausification #[528]): False
% 4.53/4.72 SZS output end Proof for theBenchmark.p
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