TSTP Solution File: SYN922+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SYN922+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 02:13:17 EDT 2023
% Result : Theorem 4.45s 4.63s
% Output : Proof 4.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN922+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : duper %s
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat Aug 26 20:15:54 EDT 2023
% 0.10/0.31 % CPUTime :
% 4.45/4.63 SZS status Theorem for theBenchmark.p
% 4.45/4.63 SZS output start Proof for theBenchmark.p
% 4.45/4.63 Clause #0 (by assumption #[]): Eq (Not (Iff (∀ (X : Iota), And (p X) (q X)) (And (∀ (X : Iota), p X) (∀ (X : Iota), q X)))) True
% 4.45/4.63 Clause #1 (by clausification #[0]): Eq (Iff (∀ (X : Iota), And (p X) (q X)) (And (∀ (X : Iota), p X) (∀ (X : Iota), q X))) False
% 4.45/4.63 Clause #2 (by clausification #[1]): Or (Eq (∀ (X : Iota), And (p X) (q X)) False) (Eq (And (∀ (X : Iota), p X) (∀ (X : Iota), q X)) False)
% 4.45/4.63 Clause #3 (by clausification #[1]): Or (Eq (∀ (X : Iota), And (p X) (q X)) True) (Eq (And (∀ (X : Iota), p X) (∀ (X : Iota), q X)) True)
% 4.45/4.63 Clause #4 (by clausification #[2]): ∀ (a : Iota),
% 4.45/4.63 Or (Eq (And (∀ (X : Iota), p X) (∀ (X : Iota), q X)) False) (Eq (Not (And (p (skS.0 0 a)) (q (skS.0 0 a)))) True)
% 4.45/4.63 Clause #5 (by clausification #[4]): ∀ (a : Iota),
% 4.45/4.63 Or (Eq (Not (And (p (skS.0 0 a)) (q (skS.0 0 a)))) True)
% 4.45/4.63 (Or (Eq (∀ (X : Iota), p X) False) (Eq (∀ (X : Iota), q X) False))
% 4.45/4.63 Clause #6 (by clausification #[5]): ∀ (a : Iota),
% 4.45/4.63 Or (Eq (∀ (X : Iota), p X) False) (Or (Eq (∀ (X : Iota), q X) False) (Eq (And (p (skS.0 0 a)) (q (skS.0 0 a))) False))
% 4.45/4.63 Clause #7 (by clausification #[6]): ∀ (a a_1 : Iota),
% 4.45/4.63 Or (Eq (∀ (X : Iota), q X) False)
% 4.45/4.63 (Or (Eq (And (p (skS.0 0 a)) (q (skS.0 0 a))) False) (Eq (Not (p (skS.0 1 a_1))) True))
% 4.45/4.63 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 4.45/4.63 Or (Eq (And (p (skS.0 0 a)) (q (skS.0 0 a))) False)
% 4.45/4.63 (Or (Eq (Not (p (skS.0 1 a_1))) True) (Eq (Not (q (skS.0 2 a_2))) True))
% 4.45/4.63 Clause #9 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 4.45/4.63 Or (Eq (Not (p (skS.0 1 a))) True)
% 4.45/4.63 (Or (Eq (Not (q (skS.0 2 a_1))) True) (Or (Eq (p (skS.0 0 a_2)) False) (Eq (q (skS.0 0 a_2)) False)))
% 4.45/4.63 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 : Iota),
% 4.45/4.63 Or (Eq (Not (q (skS.0 2 a))) True)
% 4.45/4.63 (Or (Eq (p (skS.0 0 a_1)) False) (Or (Eq (q (skS.0 0 a_1)) False) (Eq (p (skS.0 1 a_2)) False)))
% 4.45/4.63 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : Iota),
% 4.45/4.63 Or (Eq (p (skS.0 0 a)) False)
% 4.45/4.63 (Or (Eq (q (skS.0 0 a)) False) (Or (Eq (p (skS.0 1 a_1)) False) (Eq (q (skS.0 2 a_2)) False)))
% 4.45/4.63 Clause #12 (by clausification #[3]): ∀ (a : Iota), Or (Eq (And (∀ (X : Iota), p X) (∀ (X : Iota), q X)) True) (Eq (And (p a) (q a)) True)
% 4.45/4.63 Clause #13 (by clausification #[12]): ∀ (a : Iota), Or (Eq (And (p a) (q a)) True) (Eq (∀ (X : Iota), q X) True)
% 4.45/4.63 Clause #14 (by clausification #[12]): ∀ (a : Iota), Or (Eq (And (p a) (q a)) True) (Eq (∀ (X : Iota), p X) True)
% 4.45/4.63 Clause #15 (by clausification #[13]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), q X) True) (Eq (q a) True)
% 4.45/4.63 Clause #17 (by clausification #[15]): ∀ (a a_1 : Iota), Or (Eq (q a) True) (Eq (q a_1) True)
% 4.45/4.63 Clause #18 (by equality factoring #[17]): ∀ (a : Iota), Or (Ne True True) (Eq (q a) True)
% 4.45/4.63 Clause #19 (by clausification #[18]): ∀ (a : Iota), Or (Eq (q a) True) (Or (Eq True False) (Eq True False))
% 4.45/4.63 Clause #21 (by clausification #[19]): ∀ (a : Iota), Or (Eq (q a) True) (Eq True False)
% 4.45/4.63 Clause #22 (by clausification #[21]): ∀ (a : Iota), Eq (q a) True
% 4.45/4.63 Clause #23 (by backward demodulation #[22, 11]): ∀ (a a_1 a_2 : Iota),
% 4.45/4.63 Or (Eq (p (skS.0 0 a)) False) (Or (Eq True False) (Or (Eq (p (skS.0 1 a_1)) False) (Eq (q (skS.0 2 a_2)) False)))
% 4.45/4.63 Clause #26 (by clausification #[14]): ∀ (a : Iota), Or (Eq (∀ (X : Iota), p X) True) (Eq (p a) True)
% 4.45/4.63 Clause #28 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (p a) True) (Eq (p a_1) True)
% 4.45/4.63 Clause #29 (by equality factoring #[28]): ∀ (a : Iota), Or (Ne True True) (Eq (p a) True)
% 4.45/4.63 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (p a) True) (Or (Eq True False) (Eq True False))
% 4.45/4.63 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (p a) True) (Eq True False)
% 4.45/4.63 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (p a) True
% 4.45/4.63 Clause #34 (by clausification #[23]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (skS.0 0 a)) False) (Or (Eq (p (skS.0 1 a_1)) False) (Eq (q (skS.0 2 a_2)) False))
% 4.45/4.63 Clause #35 (by superposition #[34, 33]): ∀ (a a_1 : Iota), Or (Eq (p (skS.0 1 a)) False) (Or (Eq (q (skS.0 2 a_1)) False) (Eq False True))
% 4.45/4.63 Clause #36 (by clausification #[35]): ∀ (a a_1 : Iota), Or (Eq (p (skS.0 1 a)) False) (Eq (q (skS.0 2 a_1)) False)
% 4.45/4.63 Clause #37 (by superposition #[36, 33]): ∀ (a : Iota), Or (Eq (q (skS.0 2 a)) False) (Eq False True)
% 4.45/4.63 Clause #38 (by clausification #[37]): ∀ (a : Iota), Eq (q (skS.0 2 a)) False
% 4.45/4.63 Clause #39 (by superposition #[38, 22]): Eq False True
% 4.45/4.63 Clause #40 (by clausification #[39]): False
% 4.45/4.63 SZS output end Proof for theBenchmark.p
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