TSTP Solution File: SET101+1 by Duper---1.0
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% File : Duper---1.0
% Problem : SET101+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n011.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 14:45:39 EDT 2023
% Result : Theorem 6.07s 6.35s
% Output : Proof 6.07s
% 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 : SET101+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n011.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 15:54:54 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.07/6.35 SZS status Theorem for theBenchmark.p
% 6.07/6.35 SZS output start Proof for theBenchmark.p
% 6.07/6.35 Clause #3 (by assumption #[]): Eq (∀ (U X Y : Iota), Iff (member U (unordered_pair X Y)) (And (member U universal_class) (Or (Eq U X) (Eq U Y)))) True
% 6.07/6.35 Clause #4 (by assumption #[]): Eq (∀ (X Y : Iota), member (unordered_pair X Y) universal_class) True
% 6.07/6.35 Clause #5 (by assumption #[]): Eq (∀ (X : Iota), Eq (singleton X) (unordered_pair X X)) True
% 6.07/6.35 Clause #6 (by assumption #[]): Eq (∀ (X Y : Iota), Eq (ordered_pair X Y) (unordered_pair (singleton X) (unordered_pair X (singleton Y)))) True
% 6.07/6.35 Clause #43 (by assumption #[]): Eq (Not (∀ (X Y : Iota), member (singleton X) (ordered_pair X Y))) True
% 6.07/6.35 Clause #63 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (unordered_pair a Y) universal_class) True
% 6.07/6.35 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Eq (member (unordered_pair a a_1) universal_class) True
% 6.07/6.35 Clause #67 (by clausification #[5]): ∀ (a : Iota), Eq (Eq (singleton a) (unordered_pair a a)) True
% 6.07/6.35 Clause #68 (by clausification #[67]): ∀ (a : Iota), Eq (singleton a) (unordered_pair a a)
% 6.07/6.35 Clause #69 (by superposition #[68, 64]): ∀ (a : Iota), Eq (member (singleton a) universal_class) True
% 6.07/6.35 Clause #93 (by clausification #[3]): ∀ (a : Iota),
% 6.07/6.35 Eq (∀ (X Y : Iota), Iff (member a (unordered_pair X Y)) (And (member a universal_class) (Or (Eq a X) (Eq a Y)))) True
% 6.07/6.35 Clause #94 (by clausification #[93]): ∀ (a a_1 : Iota),
% 6.07/6.35 Eq (∀ (Y : Iota), Iff (member a (unordered_pair a_1 Y)) (And (member a universal_class) (Or (Eq a a_1) (Eq a Y))))
% 6.07/6.35 True
% 6.07/6.35 Clause #95 (by clausification #[94]): ∀ (a a_1 a_2 : Iota),
% 6.07/6.35 Eq (Iff (member a (unordered_pair a_1 a_2)) (And (member a universal_class) (Or (Eq a a_1) (Eq a a_2)))) True
% 6.07/6.35 Clause #96 (by clausification #[95]): ∀ (a a_1 a_2 : Iota),
% 6.07/6.35 Or (Eq (member a (unordered_pair a_1 a_2)) True)
% 6.07/6.35 (Eq (And (member a universal_class) (Or (Eq a a_1) (Eq a a_2))) False)
% 6.07/6.35 Clause #98 (by clausification #[96]): ∀ (a a_1 a_2 : Iota),
% 6.07/6.35 Or (Eq (member a (unordered_pair a_1 a_2)) True)
% 6.07/6.35 (Or (Eq (member a universal_class) False) (Eq (Or (Eq a a_1) (Eq a a_2)) False))
% 6.07/6.35 Clause #100 (by clausification #[98]): ∀ (a a_1 a_2 : Iota),
% 6.07/6.35 Or (Eq (member a (unordered_pair a_1 a_2)) True) (Or (Eq (member a universal_class) False) (Eq (Eq a a_1) False))
% 6.07/6.35 Clause #125 (by clausification #[6]): ∀ (a : Iota),
% 6.07/6.35 Eq (∀ (Y : Iota), Eq (ordered_pair a Y) (unordered_pair (singleton a) (unordered_pair a (singleton Y)))) True
% 6.07/6.35 Clause #126 (by clausification #[125]): ∀ (a a_1 : Iota), Eq (Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1)))) True
% 6.07/6.35 Clause #127 (by clausification #[126]): ∀ (a a_1 : Iota), Eq (ordered_pair a a_1) (unordered_pair (singleton a) (unordered_pair a (singleton a_1)))
% 6.07/6.35 Clause #214 (by clausification #[43]): Eq (∀ (X Y : Iota), member (singleton X) (ordered_pair X Y)) False
% 6.07/6.35 Clause #215 (by clausification #[214]): ∀ (a : Iota), Eq (Not (∀ (Y : Iota), member (singleton (skS.0 1 a)) (ordered_pair (skS.0 1 a) Y))) True
% 6.07/6.35 Clause #216 (by clausification #[215]): ∀ (a : Iota), Eq (∀ (Y : Iota), member (singleton (skS.0 1 a)) (ordered_pair (skS.0 1 a) Y)) False
% 6.07/6.35 Clause #217 (by clausification #[216]): ∀ (a a_1 : Iota), Eq (Not (member (singleton (skS.0 1 a)) (ordered_pair (skS.0 1 a) (skS.0 2 a a_1)))) True
% 6.07/6.35 Clause #218 (by clausification #[217]): ∀ (a a_1 : Iota), Eq (member (singleton (skS.0 1 a)) (ordered_pair (skS.0 1 a) (skS.0 2 a a_1))) False
% 6.07/6.35 Clause #1468 (by clausification #[100]): ∀ (a a_1 a_2 : Iota),
% 6.07/6.35 Or (Eq (member a (unordered_pair a_1 a_2)) True) (Or (Eq (member a universal_class) False) (Ne a a_1))
% 6.07/6.35 Clause #1469 (by destructive equality resolution #[1468]): ∀ (a a_1 : Iota), Or (Eq (member a (unordered_pair a a_1)) True) (Eq (member a universal_class) False)
% 6.07/6.35 Clause #1471 (by superposition #[1469, 69]): ∀ (a a_1 : Iota), Or (Eq (member (singleton a) (unordered_pair (singleton a) a_1)) True) (Eq False True)
% 6.07/6.35 Clause #1513 (by clausification #[1471]): ∀ (a a_1 : Iota), Eq (member (singleton a) (unordered_pair (singleton a) a_1)) True
% 6.07/6.35 Clause #1519 (by superposition #[1513, 127]): ∀ (a a_1 : Iota), Eq (member (singleton a) (ordered_pair a a_1)) True
% 6.07/6.35 Clause #1521 (by superposition #[1519, 218]): Eq True False
% 6.07/6.35 Clause #1528 (by clausification #[1521]): False
% 6.07/6.35 SZS output end Proof for theBenchmark.p
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