TSTP Solution File: SET630+3 by Duper---1.0
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% File : Duper---1.0
% Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 14:47:10 EDT 2023
% Result : Theorem 6.28s 6.43s
% Output : Proof 6.28s
% 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 : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 13:28:53 EDT 2023
% 0.15/0.35 % CPUTime :
% 6.28/6.43 SZS status Theorem for theBenchmark.p
% 6.28/6.43 SZS output start Proof for theBenchmark.p
% 6.28/6.43 Clause #0 (by assumption #[]): Eq (∀ (B C : Iota), Eq (symmetric_difference B C) (union (difference B C) (difference C B))) True
% 6.28/6.43 Clause #1 (by assumption #[]): Eq (∀ (B C D : Iota), Iff (intersect B (union C D)) (Or (intersect B C) (intersect B D))) True
% 6.28/6.43 Clause #2 (by assumption #[]): Eq (∀ (B C : Iota), disjoint (intersection B C) (difference B C)) True
% 6.28/6.43 Clause #5 (by assumption #[]): Eq (∀ (B C : Iota), Iff (disjoint B C) (Not (intersect B C))) True
% 6.28/6.43 Clause #6 (by assumption #[]): Eq (∀ (B C : Iota), Eq (union B C) (union C B)) True
% 6.28/6.43 Clause #7 (by assumption #[]): Eq (∀ (B C : Iota), Eq (intersection B C) (intersection C B)) True
% 6.28/6.43 Clause #11 (by assumption #[]): Eq (Not (∀ (B C : Iota), disjoint (intersection B C) (symmetric_difference B C))) True
% 6.28/6.43 Clause #15 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (C : Iota), disjoint (intersection a C) (difference a C)) True
% 6.28/6.43 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (disjoint (intersection a a_1) (difference a a_1)) True
% 6.28/6.43 Clause #20 (by clausification #[7]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (intersection a C) (intersection C a)) True
% 6.28/6.43 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (Eq (intersection a a_1) (intersection a_1 a)) True
% 6.28/6.43 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (intersection a a_1) (intersection a_1 a)
% 6.28/6.43 Clause #23 (by superposition #[22, 16]): ∀ (a a_1 : Iota), Eq (disjoint (intersection a a_1) (difference a_1 a)) True
% 6.28/6.43 Clause #24 (by clausification #[0]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (symmetric_difference a C) (union (difference a C) (difference C a))) True
% 6.28/6.43 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Eq (Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a))) True
% 6.28/6.43 Clause #26 (by clausification #[25]): ∀ (a a_1 : Iota), Eq (symmetric_difference a a_1) (union (difference a a_1) (difference a_1 a))
% 6.28/6.43 Clause #27 (by clausification #[11]): Eq (∀ (B C : Iota), disjoint (intersection B C) (symmetric_difference B C)) False
% 6.28/6.43 Clause #28 (by clausification #[27]): ∀ (a : Iota), Eq (Not (∀ (C : Iota), disjoint (intersection (skS.0 0 a) C) (symmetric_difference (skS.0 0 a) C))) True
% 6.28/6.43 Clause #29 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (C : Iota), disjoint (intersection (skS.0 0 a) C) (symmetric_difference (skS.0 0 a) C)) False
% 6.28/6.43 Clause #30 (by clausification #[29]): ∀ (a a_1 : Iota),
% 6.28/6.43 Eq (Not (disjoint (intersection (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1)))) True
% 6.28/6.43 Clause #31 (by clausification #[30]): ∀ (a a_1 : Iota),
% 6.28/6.43 Eq (disjoint (intersection (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1))) False
% 6.28/6.43 Clause #32 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (C : Iota), Iff (disjoint a C) (Not (intersect a C))) True
% 6.28/6.43 Clause #33 (by clausification #[32]): ∀ (a a_1 : Iota), Eq (Iff (disjoint a a_1) (Not (intersect a a_1))) True
% 6.28/6.43 Clause #34 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (Not (intersect a a_1)) False)
% 6.28/6.43 Clause #35 (by clausification #[33]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (Not (intersect a a_1)) True)
% 6.28/6.43 Clause #36 (by clausification #[34]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (intersect a a_1) True)
% 6.28/6.43 Clause #37 (by superposition #[36, 31]): ∀ (a a_1 : Iota),
% 6.28/6.43 Or (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1))) True)
% 6.28/6.43 (Eq True False)
% 6.28/6.43 Clause #38 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (intersect a a_1) False)
% 6.28/6.43 Clause #40 (by superposition #[38, 23]): ∀ (a a_1 : Iota), Or (Eq (intersect (intersection a a_1) (difference a_1 a)) False) (Eq False True)
% 6.28/6.43 Clause #43 (by clausification #[40]): ∀ (a a_1 : Iota), Eq (intersect (intersection a a_1) (difference a_1 a)) False
% 6.28/6.43 Clause #44 (by superposition #[43, 22]): ∀ (a a_1 : Iota), Eq (intersect (intersection a a_1) (difference a a_1)) False
% 6.28/6.43 Clause #45 (by clausification #[1]): ∀ (a : Iota), Eq (∀ (C D : Iota), Iff (intersect a (union C D)) (Or (intersect a C) (intersect a D))) True
% 6.28/6.45 Clause #46 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (∀ (D : Iota), Iff (intersect a (union a_1 D)) (Or (intersect a a_1) (intersect a D))) True
% 6.28/6.45 Clause #47 (by clausification #[46]): ∀ (a a_1 a_2 : Iota), Eq (Iff (intersect a (union a_1 a_2)) (Or (intersect a a_1) (intersect a a_2))) True
% 6.28/6.45 Clause #49 (by clausification #[47]): ∀ (a a_1 a_2 : Iota), Or (Eq (intersect a (union a_1 a_2)) False) (Eq (Or (intersect a a_1) (intersect a a_2)) True)
% 6.28/6.45 Clause #52 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (C : Iota), Eq (union a C) (union C a)) True
% 6.28/6.45 Clause #53 (by clausification #[52]): ∀ (a a_1 : Iota), Eq (Eq (union a a_1) (union a_1 a)) True
% 6.28/6.45 Clause #54 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (union a a_1) (union a_1 a)
% 6.28/6.45 Clause #55 (by superposition #[54, 26]): ∀ (a a_1 : Iota), Eq (symmetric_difference a a_1) (union (difference a_1 a) (difference a a_1))
% 6.28/6.45 Clause #63 (by clausification #[49]): ∀ (a a_1 a_2 : Iota),
% 6.28/6.45 Or (Eq (intersect a (union a_1 a_2)) False) (Or (Eq (intersect a a_1) True) (Eq (intersect a a_2) True))
% 6.28/6.45 Clause #65 (by superposition #[63, 55]): ∀ (a a_1 a_2 : Iota),
% 6.28/6.45 Or (Eq (intersect a (symmetric_difference a_1 a_2)) False)
% 6.28/6.45 (Or (Eq (intersect a (difference a_2 a_1)) True) (Eq (intersect a (difference a_1 a_2)) True))
% 6.28/6.45 Clause #93 (by clausification #[37]): ∀ (a a_1 : Iota),
% 6.28/6.45 Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (symmetric_difference (skS.0 0 a) (skS.0 1 a a_1))) True
% 6.28/6.45 Clause #99 (by superposition #[65, 93]): ∀ (a a_1 : Iota),
% 6.28/6.45 Or (Eq True False)
% 6.28/6.45 (Or (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 1 a a_1) (skS.0 0 a))) True)
% 6.28/6.45 (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 0 a) (skS.0 1 a a_1))) True))
% 6.28/6.45 Clause #1139 (by clausification #[99]): ∀ (a a_1 : Iota),
% 6.28/6.45 Or (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 1 a a_1) (skS.0 0 a))) True)
% 6.28/6.45 (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 0 a) (skS.0 1 a a_1))) True)
% 6.28/6.45 Clause #1140 (by forward demodulation #[1139, 44]): ∀ (a a_1 : Iota),
% 6.28/6.45 Or (Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 1 a a_1) (skS.0 0 a))) True)
% 6.28/6.45 (Eq False True)
% 6.28/6.45 Clause #1141 (by clausification #[1140]): ∀ (a a_1 : Iota),
% 6.28/6.45 Eq (intersect (intersection (skS.0 0 a) (skS.0 1 a a_1)) (difference (skS.0 1 a a_1) (skS.0 0 a))) True
% 6.28/6.45 Clause #1142 (by superposition #[1141, 43]): Eq True False
% 6.28/6.45 Clause #1188 (by clausification #[1142]): False
% 6.28/6.45 SZS output end Proof for theBenchmark.p
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