TSTP Solution File: SYO103^5 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO103^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n018.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 : Fri Sep 1 04:21:31 EDT 2023
% Result : Theorem 3.63s 3.85s
% Output : Proof 3.70s
% 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 : SYO103^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 00:47:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.63/3.85 SZS status Theorem for theBenchmark.p
% 3.63/3.85 SZS output start Proof for theBenchmark.p
% 3.63/3.85 Clause #0 (by assumption #[]): Eq
% 3.63/3.85 (Not
% 3.63/3.85 (Not
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp (imp (nt Xp) (nt Xq)) (imp Xq Xp))))
% 3.63/3.85 (Exists fun Xa => Not (cT (imp Xa Xa))))))
% 3.63/3.85 True
% 3.63/3.85 Clause #1 (by clausification #[0]): Eq
% 3.63/3.85 (Not
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp (imp (nt Xp) (nt Xq)) (imp Xq Xp))))
% 3.63/3.85 (Exists fun Xa => Not (cT (imp Xa Xa)))))
% 3.63/3.85 False
% 3.63/3.85 Clause #2 (by clausification #[1]): Eq
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp (imp (nt Xp) (nt Xq)) (imp Xq Xp))))
% 3.63/3.85 (Exists fun Xa => Not (cT (imp Xa Xa))))
% 3.63/3.85 True
% 3.63/3.85 Clause #3 (by clausification #[2]): Eq (Exists fun Xa => Not (cT (imp Xa Xa))) True
% 3.63/3.85 Clause #4 (by clausification #[2]): Eq
% 3.63/3.85 (And
% 3.63/3.85 (And
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp (imp (nt Xp) (nt Xq)) (imp Xq Xp))))
% 3.63/3.85 True
% 3.63/3.85 Clause #5 (by clausification #[3]): ∀ (a : Iota), Eq (Not (cT (imp (skS.0 0 a) (skS.0 0 a)))) True
% 3.63/3.85 Clause #6 (by clausification #[5]): ∀ (a : Iota), Eq (cT (imp (skS.0 0 a) (skS.0 0 a))) False
% 3.63/3.85 Clause #8 (by clausification #[4]): Eq
% 3.63/3.85 (And
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))))
% 3.63/3.85 True
% 3.63/3.85 Clause #11 (by clausification #[8]): Eq (∀ (Xp Xq Xr : Iota), cT (imp (imp Xp (imp Xq Xr)) (imp (imp Xp Xq) (imp Xp Xr)))) True
% 3.63/3.85 Clause #12 (by clausification #[8]): Eq
% 3.63/3.85 (And (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq))
% 3.63/3.85 (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))))
% 3.63/3.85 True
% 3.63/3.85 Clause #13 (by clausification #[11]): ∀ (a : Iota), Eq (∀ (Xq Xr : Iota), cT (imp (imp a (imp Xq Xr)) (imp (imp a Xq) (imp a Xr)))) True
% 3.63/3.85 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Eq (∀ (Xr : Iota), cT (imp (imp a (imp a_1 Xr)) (imp (imp a a_1) (imp a Xr)))) True
% 3.63/3.85 Clause #15 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Eq (cT (imp (imp a (imp a_1 a_2)) (imp (imp a a_1) (imp a a_2)))) True
% 3.63/3.85 Clause #16 (by clausification #[12]): Eq (∀ (Xp Xq : Iota), cT (imp Xp (imp Xq Xp))) True
% 3.63/3.85 Clause #17 (by clausification #[12]): Eq (∀ (Xp Xq : Iota), Or (Or (Not (cT (imp Xp Xq))) (Not (cT Xp))) (cT Xq)) True
% 3.63/3.85 Clause #18 (by clausification #[16]): ∀ (a : Iota), Eq (∀ (Xq : Iota), cT (imp a (imp Xq a))) True
% 3.63/3.85 Clause #19 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (cT (imp a (imp a_1 a))) True
% 3.63/3.85 Clause #20 (by clausification #[17]): ∀ (a : Iota), Eq (∀ (Xq : Iota), Or (Or (Not (cT (imp a Xq))) (Not (cT a))) (cT Xq)) True
% 3.63/3.85 Clause #21 (by clausification #[20]): ∀ (a a_1 : Iota), Eq (Or (Or (Not (cT (imp a a_1))) (Not (cT a))) (cT a_1)) True
% 3.63/3.85 Clause #22 (by clausification #[21]): ∀ (a a_1 : Iota), Or (Eq (Or (Not (cT (imp a a_1))) (Not (cT a))) True) (Eq (cT a_1) True)
% 3.63/3.85 Clause #23 (by clausification #[22]): ∀ (a a_1 : Iota), Or (Eq (cT a) True) (Or (Eq (Not (cT (imp a_1 a))) True) (Eq (Not (cT a_1)) True))
% 3.63/3.85 Clause #24 (by clausification #[23]): ∀ (a a_1 : Iota), Or (Eq (cT a) True) (Or (Eq (Not (cT a_1)) True) (Eq (cT (imp a_1 a)) False))
% 3.70/3.86 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (cT a) True) (Or (Eq (cT (imp a_1 a)) False) (Eq (cT a_1) False))
% 3.70/3.86 Clause #27 (by superposition #[25, 15]): ∀ (a a_1 a_2 : Iota),
% 3.70/3.86 Or (Eq (cT (imp (imp a a_1) (imp a a_2))) True) (Or (Eq (cT (imp a (imp a_1 a_2))) False) (Eq False True))
% 3.70/3.86 Clause #42 (by clausification #[27]): ∀ (a a_1 a_2 : Iota), Or (Eq (cT (imp (imp a a_1) (imp a a_2))) True) (Eq (cT (imp a (imp a_1 a_2))) False)
% 3.70/3.86 Clause #45 (by superposition #[42, 19]): ∀ (a a_1 : Iota), Or (Eq (cT (imp (imp a a_1) (imp a a))) True) (Eq False True)
% 3.70/3.86 Clause #48 (by clausification #[45]): ∀ (a a_1 : Iota), Eq (cT (imp (imp a a_1) (imp a a))) True
% 3.70/3.86 Clause #49 (by superposition #[48, 25]): ∀ (a a_1 : Iota), Or (Eq (cT (imp a a)) True) (Or (Eq True False) (Eq (cT (imp a a_1)) False))
% 3.70/3.86 Clause #52 (by clausification #[49]): ∀ (a a_1 : Iota), Or (Eq (cT (imp a a)) True) (Eq (cT (imp a a_1)) False)
% 3.70/3.86 Clause #55 (by superposition #[52, 19]): ∀ (a : Iota), Or (Eq (cT (imp a a)) True) (Eq False True)
% 3.70/3.86 Clause #57 (by clausification #[55]): ∀ (a : Iota), Eq (cT (imp a a)) True
% 3.70/3.86 Clause #58 (by superposition #[57, 6]): Eq True False
% 3.70/3.86 Clause #63 (by clausification #[58]): False
% 3.70/3.86 SZS output end Proof for theBenchmark.p
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