TSTP Solution File: SEU572^2 by Duper---1.0
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% File : Duper---1.0
% Problem : SEU572^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n015.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 16:42:47 EDT 2023
% Result : Theorem 3.83s 3.99s
% Output : Proof 3.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU572^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Aug 23 18:28:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 3.83/3.99 SZS status Theorem for theBenchmark.p
% 3.83/3.99 SZS output start Proof for theBenchmark.p
% 3.83/3.99 Clause #0 (by assumption #[]): Eq (Eq subsetTrans (∀ (A B C : Iota), subset A B → subset B C → subset A C)) True
% 3.83/3.99 Clause #1 (by assumption #[]): Eq (Eq setadjoinSub (∀ (Xx A : Iota), subset A (setadjoin Xx A))) True
% 3.83/3.99 Clause #2 (by assumption #[]): Eq (Not (subsetTrans → setadjoinSub → ∀ (A Xx B : Iota), subset A B → subset A (setadjoin Xx B))) True
% 3.83/3.99 Clause #3 (by clausification #[1]): Eq setadjoinSub (∀ (Xx A : Iota), subset A (setadjoin Xx A))
% 3.83/3.99 Clause #5 (by clausify Prop equality #[3]): Or (Eq setadjoinSub False) (Eq (∀ (Xx A : Iota), subset A (setadjoin Xx A)) True)
% 3.83/3.99 Clause #7 (by clausification #[5]): ∀ (a : Iota), Or (Eq setadjoinSub False) (Eq (∀ (A : Iota), subset A (setadjoin a A)) True)
% 3.83/3.99 Clause #8 (by clausification #[7]): ∀ (a a_1 : Iota), Or (Eq setadjoinSub False) (Eq (subset a (setadjoin a_1 a)) True)
% 3.83/3.99 Clause #13 (by clausification #[0]): Eq subsetTrans (∀ (A B C : Iota), subset A B → subset B C → subset A C)
% 3.83/3.99 Clause #17 (by clausification #[2]): Eq (subsetTrans → setadjoinSub → ∀ (A Xx B : Iota), subset A B → subset A (setadjoin Xx B)) False
% 3.83/3.99 Clause #18 (by clausification #[17]): Eq subsetTrans True
% 3.83/3.99 Clause #19 (by clausification #[17]): Eq (setadjoinSub → ∀ (A Xx B : Iota), subset A B → subset A (setadjoin Xx B)) False
% 3.83/3.99 Clause #20 (by backward demodulation #[18, 13]): Eq True (∀ (A B C : Iota), subset A B → subset B C → subset A C)
% 3.83/3.99 Clause #21 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (B C : Iota), subset a B → subset B C → subset a C) True
% 3.83/3.99 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), subset a a_1 → subset a_1 C → subset a C) True
% 3.83/3.99 Clause #23 (by clausification #[22]): ∀ (a a_1 a_2 : Iota), Eq (subset a a_1 → subset a_1 a_2 → subset a a_2) True
% 3.83/3.99 Clause #24 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Eq (subset a_1 a_2 → subset a a_2) True)
% 3.83/3.99 Clause #25 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Or (Eq (subset a a_1) False) (Or (Eq (subset a_1 a_2) False) (Eq (subset a a_2) True))
% 3.83/3.99 Clause #26 (by clausification #[19]): Eq setadjoinSub True
% 3.83/3.99 Clause #27 (by clausification #[19]): Eq (∀ (A Xx B : Iota), subset A B → subset A (setadjoin Xx B)) False
% 3.83/3.99 Clause #29 (by backward demodulation #[26, 8]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (subset a (setadjoin a_1 a)) True)
% 3.83/3.99 Clause #31 (by clausification #[29]): ∀ (a a_1 : Iota), Eq (subset a (setadjoin a_1 a)) True
% 3.83/3.99 Clause #34 (by clausification #[27]): ∀ (a : Iota), Eq (Not (∀ (Xx B : Iota), subset (skS.0 2 a) B → subset (skS.0 2 a) (setadjoin Xx B))) True
% 3.83/3.99 Clause #35 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (Xx B : Iota), subset (skS.0 2 a) B → subset (skS.0 2 a) (setadjoin Xx B)) False
% 3.83/3.99 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Eq (Not (∀ (B : Iota), subset (skS.0 2 a) B → subset (skS.0 2 a) (setadjoin (skS.0 3 a a_1) B))) True
% 3.83/3.99 Clause #37 (by clausification #[36]): ∀ (a a_1 : Iota), Eq (∀ (B : Iota), subset (skS.0 2 a) B → subset (skS.0 2 a) (setadjoin (skS.0 3 a a_1) B)) False
% 3.83/3.99 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota),
% 3.83/3.99 Eq (Not (subset (skS.0 2 a) (skS.0 4 a a_1 a_2) → subset (skS.0 2 a) (setadjoin (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))))
% 3.83/3.99 True
% 3.83/3.99 Clause #39 (by clausification #[38]): ∀ (a a_1 a_2 : Iota),
% 3.83/3.99 Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2) → subset (skS.0 2 a) (setadjoin (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) False
% 3.83/3.99 Clause #40 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 2 a) (skS.0 4 a a_1 a_2)) True
% 3.83/3.99 Clause #41 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Eq (subset (skS.0 2 a) (setadjoin (skS.0 3 a a_1) (skS.0 4 a a_1 a_2))) False
% 3.83/3.99 Clause #42 (by superposition #[40, 25]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.83/3.99 Or (Eq True False) (Or (Eq (subset (skS.0 4 a a_1 a_2) a_3) False) (Eq (subset (skS.0 2 a) a_3) True))
% 3.83/3.99 Clause #88 (by clausification #[42]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (subset (skS.0 4 a a_1 a_2) a_3) False) (Eq (subset (skS.0 2 a) a_3) True)
% 3.83/3.99 Clause #89 (by superposition #[88, 31]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (subset (skS.0 2 a) (setadjoin a_1 (skS.0 4 a a_2 a_3))) True) (Eq False True)
% 3.83/3.99 Clause #112 (by clausification #[89]): ∀ (a a_1 a_2 a_3 : Iota), Eq (subset (skS.0 2 a) (setadjoin a_1 (skS.0 4 a a_2 a_3))) True
% 3.83/3.99 Clause #113 (by superposition #[112, 41]): Eq True False
% 3.83/3.99 Clause #115 (by clausification #[113]): False
% 3.83/3.99 SZS output end Proof for theBenchmark.p
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