TSTP Solution File: SEU140+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n008.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 16:40:23 EDT 2023
% Result : Theorem 4.00s 4.26s
% Output : Proof 4.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Aug 23 14:39:32 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.00/4.26 SZS status Theorem for theBenchmark.p
% 4.00/4.26 SZS output start Proof for theBenchmark.p
% 4.00/4.26 Clause #2 (by assumption #[]): Eq (∀ (A B : Iota), Iff (disjoint A B) (Eq (set_intersection2 A B) empty_set)) True
% 4.00/4.26 Clause #10 (by assumption #[]): Eq (∀ (A B C : Iota), subset A B → subset (set_intersection2 A C) (set_intersection2 B C)) True
% 4.00/4.26 Clause #12 (by assumption #[]): Eq (∀ (A : Iota), subset A empty_set → Eq A empty_set) True
% 4.00/4.26 Clause #13 (by assumption #[]): Eq (Not (∀ (A B C : Iota), And (subset A B) (disjoint B C) → disjoint A C)) True
% 4.00/4.26 Clause #36 (by clausification #[12]): ∀ (a : Iota), Eq (subset a empty_set → Eq a empty_set) True
% 4.00/4.26 Clause #37 (by clausification #[36]): ∀ (a : Iota), Or (Eq (subset a empty_set) False) (Eq (Eq a empty_set) True)
% 4.00/4.26 Clause #38 (by clausification #[37]): ∀ (a : Iota), Or (Eq (subset a empty_set) False) (Eq a empty_set)
% 4.00/4.26 Clause #46 (by clausification #[13]): Eq (∀ (A B C : Iota), And (subset A B) (disjoint B C) → disjoint A C) False
% 4.00/4.26 Clause #47 (by clausification #[46]): ∀ (a : Iota), Eq (Not (∀ (B C : Iota), And (subset (skS.0 2 a) B) (disjoint B C) → disjoint (skS.0 2 a) C)) True
% 4.00/4.26 Clause #48 (by clausification #[47]): ∀ (a : Iota), Eq (∀ (B C : Iota), And (subset (skS.0 2 a) B) (disjoint B C) → disjoint (skS.0 2 a) C) False
% 4.00/4.26 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 4.00/4.26 Eq
% 4.00/4.26 (Not (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) C) → disjoint (skS.0 2 a) C))
% 4.00/4.26 True
% 4.00/4.26 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 4.00/4.26 Eq (∀ (C : Iota), And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) C) → disjoint (skS.0 2 a) C)
% 4.00/4.26 False
% 4.00/4.26 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 4.00/4.26 Eq
% 4.00/4.26 (Not
% 4.00/4.26 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) →
% 4.00/4.26 disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)))
% 4.00/4.26 True
% 4.00/4.26 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota),
% 4.00/4.26 Eq
% 4.00/4.26 (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) →
% 4.00/4.26 disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2))
% 4.00/4.26 False
% 4.00/4.26 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (And (subset (skS.0 2 a) (skS.0 3 a a_1)) (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) True
% 4.00/4.26 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) False
% 4.00/4.26 Clause #55 (by clausification #[53]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) True
% 4.00/4.26 Clause #56 (by clausification #[53]): ∀ (a a_1 : Iota), Eq (subset (skS.0 2 a) (skS.0 3 a a_1)) True
% 4.00/4.26 Clause #62 (by clausification #[2]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (disjoint a B) (Eq (set_intersection2 a B) empty_set)) True
% 4.00/4.26 Clause #63 (by clausification #[62]): ∀ (a a_1 : Iota), Eq (Iff (disjoint a a_1) (Eq (set_intersection2 a a_1) empty_set)) True
% 4.00/4.26 Clause #64 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Eq (Eq (set_intersection2 a a_1) empty_set) False)
% 4.00/4.26 Clause #65 (by clausification #[63]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (Eq (set_intersection2 a a_1) empty_set) True)
% 4.00/4.26 Clause #66 (by clausification #[64]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) True) (Ne (set_intersection2 a a_1) empty_set)
% 4.00/4.26 Clause #76 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (B C : Iota), subset a B → subset (set_intersection2 a C) (set_intersection2 B C)) True
% 4.00/4.26 Clause #77 (by clausification #[76]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), subset a a_1 → subset (set_intersection2 a C) (set_intersection2 a_1 C)) True
% 4.00/4.26 Clause #78 (by clausification #[77]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → subset (set_intersection2 a a_2) (set_intersection2 a_1 a_2)) True
% 4.00/4.26 Clause #79 (by clausification #[78]): ∀ (a a_1 a_2 : Iota),
% 4.00/4.26 Or (Eq (subset a a_1) False) (Eq (subset (set_intersection2 a a_2) (set_intersection2 a_1 a_2)) True)
% 4.00/4.26 Clause #86 (by clausification #[65]): ∀ (a a_1 : Iota), Or (Eq (disjoint a a_1) False) (Eq (set_intersection2 a a_1) empty_set)
% 4.00/4.26 Clause #87 (by superposition #[86, 55]): ∀ (a a_1 a_2 : Iota), Or (Eq (set_intersection2 (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) empty_set) (Eq False True)
% 4.00/4.27 Clause #97 (by superposition #[56, 79]): ∀ (a a_1 a_2 : Iota),
% 4.00/4.27 Or (Eq (subset (set_intersection2 (skS.0 2 a) a_1) (set_intersection2 (skS.0 3 a a_2) a_1)) True) (Eq False True)
% 4.00/4.27 Clause #98 (by clausification #[97]): ∀ (a a_1 a_2 : Iota), Eq (subset (set_intersection2 (skS.0 2 a) a_1) (set_intersection2 (skS.0 3 a a_2) a_1)) True
% 4.00/4.27 Clause #117 (by clausification #[87]): ∀ (a a_1 a_2 : Iota), Eq (set_intersection2 (skS.0 3 a a_1) (skS.0 4 a a_1 a_2)) empty_set
% 4.00/4.27 Clause #118 (by superposition #[117, 98]): ∀ (a a_1 a_2 : Iota), Eq (subset (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set) True
% 4.00/4.27 Clause #123 (by superposition #[118, 38]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set)
% 4.00/4.27 Clause #125 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), Eq (set_intersection2 (skS.0 2 a) (skS.0 4 a a_1 a_2)) empty_set
% 4.00/4.27 Clause #128 (by superposition #[125, 66]): ∀ (a a_1 a_2 : Iota), Or (Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) True) (Ne empty_set empty_set)
% 4.00/4.27 Clause #152 (by eliminate resolved literals #[128]): ∀ (a a_1 a_2 : Iota), Eq (disjoint (skS.0 2 a) (skS.0 4 a a_1 a_2)) True
% 4.00/4.27 Clause #153 (by superposition #[152, 54]): Eq True False
% 4.00/4.27 Clause #156 (by clausification #[153]): False
% 4.00/4.27 SZS output end Proof for theBenchmark.p
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