TSTP Solution File: SYN939+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n025.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 02:13:21 EDT 2023
% Result : Theorem 3.37s 3.72s
% Output : Proof 3.37s
% 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 : SYN939+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n025.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 : Sat Aug 26 21:24:23 EDT 2023
% 0.13/0.34 % CPUTime :
% 3.37/3.72 SZS status Theorem for theBenchmark.p
% 3.37/3.72 SZS output start Proof for theBenchmark.p
% 3.37/3.72 Clause #0 (by assumption #[]): Eq
% 3.37/3.72 (Not
% 3.37/3.72 (∀ (C B : Iota),
% 3.37/3.72 (∀ (Z : Iota), q (f Z)) →
% 3.37/3.72 Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r B) (r C))) (q X)))
% 3.37/3.72 True
% 3.37/3.72 Clause #1 (by clausification #[0]): Eq
% 3.37/3.72 (∀ (C B : Iota),
% 3.37/3.72 (∀ (Z : Iota), q (f Z)) → Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r B) (r C))) (q X))
% 3.37/3.72 False
% 3.37/3.72 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.37/3.72 Eq
% 3.37/3.72 (Not
% 3.37/3.72 (∀ (B : Iota),
% 3.37/3.72 (∀ (Z : Iota), q (f Z)) →
% 3.37/3.72 Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r B) (r (skS.0 0 a)))) (q X)))
% 3.37/3.72 True
% 3.37/3.72 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.37/3.72 Eq
% 3.37/3.72 (∀ (B : Iota),
% 3.37/3.72 (∀ (Z : Iota), q (f Z)) →
% 3.37/3.72 Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r B) (r (skS.0 0 a)))) (q X))
% 3.37/3.72 False
% 3.37/3.72 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.37/3.72 Eq
% 3.37/3.72 (Not
% 3.37/3.72 ((∀ (Z : Iota), q (f Z)) →
% 3.37/3.72 Exists fun X =>
% 3.37/3.72 Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r (skS.0 1 a a_1)) (r (skS.0 0 a)))) (q X)))
% 3.37/3.72 True
% 3.37/3.72 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 3.37/3.72 Eq
% 3.37/3.72 ((∀ (Z : Iota), q (f Z)) →
% 3.37/3.72 Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r (skS.0 1 a a_1)) (r (skS.0 0 a)))) (q X))
% 3.37/3.72 False
% 3.37/3.72 Clause #6 (by clausification #[5]): Eq (∀ (Z : Iota), q (f Z)) True
% 3.37/3.72 Clause #7 (by clausification #[5]): ∀ (a a_1 : Iota),
% 3.37/3.72 Eq (Exists fun X => Exists fun Y => And (And (p (f Y) → p X) (r Y → And (r (skS.0 1 a a_1)) (r (skS.0 0 a)))) (q X))
% 3.37/3.72 False
% 3.37/3.72 Clause #8 (by clausification #[6]): ∀ (a : Iota), Eq (q (f a)) True
% 3.37/3.72 Clause #9 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.37/3.72 Eq (Exists fun Y => And (And (p (f Y) → p a) (r Y → And (r (skS.0 1 a_1 a_2)) (r (skS.0 0 a_1)))) (q a)) False
% 3.37/3.72 Clause #10 (by clausification #[9]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Eq (And (And (p (f a) → p a_1) (r a → And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2)))) (q a_1)) False
% 3.37/3.72 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (And (p (f a) → p a_1) (r a → And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2)))) False) (Eq (q a_1) False)
% 3.37/3.72 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (q a) False) (Or (Eq (p (f a_1) → p a) False) (Eq (r a_1 → And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2))) False))
% 3.37/3.72 Clause #13 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (q a) False) (Or (Eq (r a_1 → And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2))) False) (Eq (p (f a_1)) True))
% 3.37/3.72 Clause #14 (by clausification #[12]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (q a) False) (Or (Eq (r a_1 → And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2))) False) (Eq (p a) False))
% 3.37/3.72 Clause #15 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (q a) False) (Or (Eq (p (f a_1)) True) (Eq (r a_1) True))
% 3.37/3.72 Clause #16 (by clausification #[13]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (q a) False) (Or (Eq (p (f a_1)) True) (Eq (And (r (skS.0 1 a_2 a_3)) (r (skS.0 0 a_2))) False))
% 3.37/3.72 Clause #17 (by superposition #[15, 8]): ∀ (a : Iota), Or (Eq (p (f a)) True) (Or (Eq (r a) True) (Eq False True))
% 3.37/3.72 Clause #18 (by clausification #[17]): ∀ (a : Iota), Or (Eq (p (f a)) True) (Eq (r a) True)
% 3.37/3.72 Clause #19 (by clausification #[16]): ∀ (a a_1 a_2 a_3 : Iota),
% 3.37/3.72 Or (Eq (q a) False) (Or (Eq (p (f a_1)) True) (Or (Eq (r (skS.0 1 a_2 a_3)) False) (Eq (r (skS.0 0 a_2)) False)))
% 3.37/3.72 Clause #20 (by superposition #[19, 8]): ∀ (a a_1 a_2 : Iota),
% 3.37/3.72 Or (Eq (p (f a)) True) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Or (Eq (r (skS.0 0 a_1)) False) (Eq False True)))
% 3.37/3.72 Clause #21 (by clausification #[20]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (f a)) True) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Eq (r (skS.0 0 a_1)) False))
% 3.37/3.72 Clause #22 (by clausification #[14]): ∀ (a a_1 : Iota), Or (Eq (q a) False) (Or (Eq (p a) False) (Eq (r a_1) True))
% 3.37/3.72 Clause #23 (by clausification #[14]): ∀ (a a_1 a_2 : Iota), Or (Eq (q a) False) (Or (Eq (p a) False) (Eq (And (r (skS.0 1 a_1 a_2)) (r (skS.0 0 a_1))) False))
% 3.37/3.73 Clause #24 (by superposition #[22, 8]): ∀ (a a_1 : Iota), Or (Eq (p (f a)) False) (Or (Eq (r a_1) True) (Eq False True))
% 3.37/3.73 Clause #25 (by clausification #[24]): ∀ (a a_1 : Iota), Or (Eq (p (f a)) False) (Eq (r a_1) True)
% 3.37/3.73 Clause #26 (by superposition #[25, 18]): ∀ (a a_1 : Iota), Or (Eq (r a) True) (Or (Eq False True) (Eq (r a_1) True))
% 3.37/3.73 Clause #27 (by clausification #[26]): ∀ (a a_1 : Iota), Or (Eq (r a) True) (Eq (r a_1) True)
% 3.37/3.73 Clause #29 (by equality factoring #[27]): ∀ (a : Iota), Or (Ne True True) (Eq (r a) True)
% 3.37/3.73 Clause #30 (by clausification #[29]): ∀ (a : Iota), Or (Eq (r a) True) (Or (Eq True False) (Eq True False))
% 3.37/3.73 Clause #32 (by clausification #[30]): ∀ (a : Iota), Or (Eq (r a) True) (Eq True False)
% 3.37/3.73 Clause #33 (by clausification #[32]): ∀ (a : Iota), Eq (r a) True
% 3.37/3.73 Clause #34 (by backward demodulation #[33, 21]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (f a)) True) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Eq True False))
% 3.37/3.73 Clause #36 (by clausification #[23]): ∀ (a a_1 a_2 : Iota),
% 3.37/3.73 Or (Eq (q a) False) (Or (Eq (p a) False) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Eq (r (skS.0 0 a_1)) False)))
% 3.37/3.73 Clause #37 (by forward demodulation #[36, 33]): ∀ (a a_1 a_2 : Iota), Or (Eq (q a) False) (Or (Eq (p a) False) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Eq True False)))
% 3.37/3.73 Clause #38 (by clausification #[37]): ∀ (a a_1 a_2 : Iota), Or (Eq (q a) False) (Or (Eq (p a) False) (Eq (r (skS.0 1 a_1 a_2)) False))
% 3.37/3.73 Clause #39 (by superposition #[38, 8]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (f a)) False) (Or (Eq (r (skS.0 1 a_1 a_2)) False) (Eq False True))
% 3.37/3.73 Clause #40 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (f a)) True) (Eq (r (skS.0 1 a_1 a_2)) False)
% 3.37/3.73 Clause #41 (by superposition #[40, 33]): ∀ (a : Iota), Or (Eq (p (f a)) True) (Eq False True)
% 3.37/3.73 Clause #42 (by clausification #[41]): ∀ (a : Iota), Eq (p (f a)) True
% 3.37/3.73 Clause #43 (by clausification #[39]): ∀ (a a_1 a_2 : Iota), Or (Eq (p (f a)) False) (Eq (r (skS.0 1 a_1 a_2)) False)
% 3.37/3.73 Clause #44 (by superposition #[43, 42]): ∀ (a a_1 : Iota), Or (Eq (r (skS.0 1 a a_1)) False) (Eq False True)
% 3.37/3.73 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota), Eq (r (skS.0 1 a a_1)) False
% 3.37/3.73 Clause #46 (by superposition #[45, 33]): Eq False True
% 3.37/3.73 Clause #47 (by clausification #[46]): False
% 3.37/3.73 SZS output end Proof for theBenchmark.p
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