TSTP Solution File: SEU230+2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU230+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 16:40:56 EDT 2023
% Result : Theorem 195.06s 195.22s
% Output : Proof 195.06s
% 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 : SEU230+2 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.15 % Command : duper %s
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 01:32:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 195.06/195.22 SZS status Theorem for theBenchmark.p
% 195.06/195.22 SZS output start Proof for theBenchmark.p
% 195.06/195.22 Clause #6 (by assumption #[]): Eq (∀ (A B : Iota), Eq (set_union2 A B) (set_union2 B A)) True
% 195.06/195.22 Clause #17 (by assumption #[]): Eq (∀ (A : Iota), Eq (succ A) (set_union2 A (singleton A))) True
% 195.06/195.22 Clause #97 (by assumption #[]): Eq (∀ (A B : Iota), Iff (subset (singleton A) B) (in A B)) True
% 195.06/195.22 Clause #122 (by assumption #[]): Eq (Not (∀ (A : Iota), in A (succ A))) True
% 195.06/195.22 Clause #216 (by assumption #[]): Eq (∀ (A B : Iota), subset A (set_union2 A B)) True
% 195.06/195.22 Clause #305 (by clausification #[6]): ∀ (a : Iota), Eq (∀ (B : Iota), Eq (set_union2 a B) (set_union2 B a)) True
% 195.06/195.22 Clause #306 (by clausification #[305]): ∀ (a a_1 : Iota), Eq (Eq (set_union2 a a_1) (set_union2 a_1 a)) True
% 195.06/195.22 Clause #307 (by clausification #[306]): ∀ (a a_1 : Iota), Eq (set_union2 a a_1) (set_union2 a_1 a)
% 195.06/195.22 Clause #331 (by clausification #[122]): Eq (∀ (A : Iota), in A (succ A)) False
% 195.06/195.22 Clause #332 (by clausification #[331]): ∀ (a : Iota), Eq (Not (in (skS.0 2 a) (succ (skS.0 2 a)))) True
% 195.06/195.22 Clause #333 (by clausification #[332]): ∀ (a : Iota), Eq (in (skS.0 2 a) (succ (skS.0 2 a))) False
% 195.06/195.22 Clause #715 (by clausification #[216]): ∀ (a : Iota), Eq (∀ (B : Iota), subset a (set_union2 a B)) True
% 195.06/195.22 Clause #716 (by clausification #[715]): ∀ (a a_1 : Iota), Eq (subset a (set_union2 a a_1)) True
% 195.06/195.22 Clause #719 (by superposition #[716, 307]): ∀ (a a_1 : Iota), Eq (subset a (set_union2 a_1 a)) True
% 195.06/195.22 Clause #831 (by clausification #[17]): ∀ (a : Iota), Eq (Eq (succ a) (set_union2 a (singleton a))) True
% 195.06/195.22 Clause #832 (by clausification #[831]): ∀ (a : Iota), Eq (succ a) (set_union2 a (singleton a))
% 195.06/195.22 Clause #834 (by superposition #[832, 719]): ∀ (a : Iota), Eq (subset (singleton a) (succ a)) True
% 195.06/195.22 Clause #2639 (by clausification #[97]): ∀ (a : Iota), Eq (∀ (B : Iota), Iff (subset (singleton a) B) (in a B)) True
% 195.06/195.22 Clause #2640 (by clausification #[2639]): ∀ (a a_1 : Iota), Eq (Iff (subset (singleton a) a_1) (in a a_1)) True
% 195.06/195.22 Clause #2642 (by clausification #[2640]): ∀ (a a_1 : Iota), Or (Eq (subset (singleton a) a_1) False) (Eq (in a a_1) True)
% 195.06/195.22 Clause #10600 (by superposition #[2642, 834]): ∀ (a : Iota), Or (Eq (in a (succ a)) True) (Eq False True)
% 195.06/195.22 Clause #10612 (by clausification #[10600]): ∀ (a : Iota), Eq (in a (succ a)) True
% 195.06/195.22 Clause #10613 (by superposition #[10612, 333]): Eq True False
% 195.06/195.22 Clause #10628 (by clausification #[10613]): False
% 195.06/195.22 SZS output end Proof for theBenchmark.p
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