TSTP Solution File: SEU137+2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 16:40:22 EDT 2023
% Result : Theorem 17.71s 17.95s
% Output : Proof 17.71s
% 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 : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 23 23:29:46 EDT 2023
% 0.13/0.34 % CPUTime :
% 17.71/17.95 SZS status Theorem for theBenchmark.p
% 17.71/17.95 SZS output start Proof for theBenchmark.p
% 17.71/17.95 Clause #21 (by assumption #[]): Eq (∀ (A B : Iota), subset A B → Eq (set_union2 A B) B) True
% 17.71/17.95 Clause #33 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_union2 A (set_difference B A)) (set_union2 A B)) True
% 17.71/17.95 Clause #38 (by assumption #[]): Eq (Not (∀ (A B : Iota), subset A B → Eq B (set_union2 A (set_difference B A)))) True
% 17.71/17.95 Clause #273 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (B : Iota), subset a B → Eq (set_union2 a B) B) True
% 17.71/17.95 Clause #274 (by clausification #[273]): ∀ (a a_1 : Iota), Eq (subset a a_1 → Eq (set_union2 a a_1) a_1) True
% 17.71/17.95 Clause #275 (by clausification #[274]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (Eq (set_union2 a a_1) a_1) True)
% 17.71/17.95 Clause #276 (by clausification #[275]): ∀ (a a_1 : Iota), Or (Eq (subset a a_1) False) (Eq (set_union2 a a_1) a_1)
% 17.71/17.95 Clause #366 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_union2 a (set_difference B a)) (set_union2 a B)) True
% 17.71/17.95 Clause #367 (by clausification #[366]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 a (set_difference a_1 a)) (set_union2 a a_1)) True
% 17.71/17.95 Clause #368 (by clausification #[367]): ∀ (a a_1 : Iota), Eq (set_union2 a (set_difference a_1 a)) (set_union2 a a_1)
% 17.71/17.95 Clause #442 (by clausification #[38]): Eq (∀ (A B : Iota), subset A B → Eq B (set_union2 A (set_difference B A))) False
% 17.71/17.95 Clause #443 (by clausification #[442]): ∀ (a : Iota),
% 17.71/17.95 Eq (Not (∀ (B : Iota), subset (skS.0 8 a) B → Eq B (set_union2 (skS.0 8 a) (set_difference B (skS.0 8 a))))) True
% 17.71/17.95 Clause #444 (by clausification #[443]): ∀ (a : Iota),
% 17.71/17.95 Eq (∀ (B : Iota), subset (skS.0 8 a) B → Eq B (set_union2 (skS.0 8 a) (set_difference B (skS.0 8 a)))) False
% 17.71/17.95 Clause #445 (by clausification #[444]): ∀ (a a_1 : Iota),
% 17.71/17.95 Eq
% 17.71/17.95 (Not
% 17.71/17.95 (subset (skS.0 8 a) (skS.0 9 a a_1) →
% 17.71/17.95 Eq (skS.0 9 a a_1) (set_union2 (skS.0 8 a) (set_difference (skS.0 9 a a_1) (skS.0 8 a)))))
% 17.71/17.95 True
% 17.71/17.95 Clause #446 (by clausification #[445]): ∀ (a a_1 : Iota),
% 17.71/17.95 Eq
% 17.71/17.95 (subset (skS.0 8 a) (skS.0 9 a a_1) →
% 17.71/17.95 Eq (skS.0 9 a a_1) (set_union2 (skS.0 8 a) (set_difference (skS.0 9 a a_1) (skS.0 8 a))))
% 17.71/17.95 False
% 17.71/17.95 Clause #447 (by clausification #[446]): ∀ (a a_1 : Iota), Eq (subset (skS.0 8 a) (skS.0 9 a a_1)) True
% 17.71/17.95 Clause #448 (by clausification #[446]): ∀ (a a_1 : Iota), Eq (Eq (skS.0 9 a a_1) (set_union2 (skS.0 8 a) (set_difference (skS.0 9 a a_1) (skS.0 8 a)))) False
% 17.71/17.95 Clause #453 (by superposition #[447, 276]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (set_union2 (skS.0 8 a) (skS.0 9 a a_1)) (skS.0 9 a a_1))
% 17.71/17.95 Clause #5785 (by clausification #[448]): ∀ (a a_1 : Iota), Ne (skS.0 9 a a_1) (set_union2 (skS.0 8 a) (set_difference (skS.0 9 a a_1) (skS.0 8 a)))
% 17.71/17.95 Clause #5786 (by forward demodulation #[5785, 368]): ∀ (a a_1 : Iota), Ne (skS.0 9 a a_1) (set_union2 (skS.0 8 a) (skS.0 9 a a_1))
% 17.71/17.95 Clause #5951 (by clausification #[453]): ∀ (a a_1 : Iota), Eq (set_union2 (skS.0 8 a) (skS.0 9 a a_1)) (skS.0 9 a a_1)
% 17.71/17.95 Clause #5952 (by forward contextual literal cutting #[5951, 5786]): False
% 17.71/17.95 SZS output end Proof for theBenchmark.p
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