TSTP Solution File: SYN944+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYN944+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 02:13:22 EDT 2023
% Result : Theorem 3.46s 3.67s
% Output : Proof 3.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.16 % Problem : SYN944+1 : TPTP v8.1.2. Released v3.1.0.
% 0.09/0.17 % Command : duper %s
% 0.16/0.39 % Computer : n005.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Sat Aug 26 21:46:53 EDT 2023
% 0.16/0.39 % CPUTime :
% 3.46/3.67 SZS status Theorem for theBenchmark.p
% 3.46/3.67 SZS output start Proof for theBenchmark.p
% 3.46/3.67 Clause #0 (by assumption #[]): Eq
% 3.46/3.67 (Not
% 3.46/3.67 (∀ (A B C : Iota),
% 3.46/3.67 And (And (And (And (s A) (s B)) (r B C)) (∀ (X : Iota), s X → p X)) (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y)))
% 3.46/3.67 True
% 3.46/3.67 Clause #1 (by clausification #[0]): Eq
% 3.46/3.67 (∀ (A B C : Iota),
% 3.46/3.67 And (And (And (And (s A) (s B)) (r B C)) (∀ (X : Iota), s X → p X)) (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y))
% 3.46/3.67 False
% 3.46/3.67 Clause #2 (by clausification #[1]): ∀ (a : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (Not
% 3.46/3.67 (∀ (B C : Iota),
% 3.46/3.67 And (And (And (And (s (skS.0 0 a)) (s B)) (r B C)) (∀ (X : Iota), s X → p X)) (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y)))
% 3.46/3.67 True
% 3.46/3.67 Clause #3 (by clausification #[2]): ∀ (a : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (∀ (B C : Iota),
% 3.46/3.67 And (And (And (And (s (skS.0 0 a)) (s B)) (r B C)) (∀ (X : Iota), s X → p X)) (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y))
% 3.46/3.67 False
% 3.46/3.67 Clause #4 (by clausification #[3]): ∀ (a a_1 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (Not
% 3.46/3.67 (∀ (C : Iota),
% 3.46/3.67 And (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) C)) (∀ (X : Iota), s X → p X))
% 3.46/3.67 (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y)))
% 3.46/3.67 True
% 3.46/3.67 Clause #5 (by clausification #[4]): ∀ (a a_1 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (∀ (C : Iota),
% 3.46/3.67 And (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) C)) (∀ (X : Iota), s X → p X))
% 3.46/3.67 (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y))
% 3.46/3.67 False
% 3.46/3.67 Clause #6 (by clausification #[5]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (Not
% 3.46/3.67 (And
% 3.46/3.67 (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.46/3.67 (∀ (X : Iota), s X → p X))
% 3.46/3.67 (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y)))
% 3.46/3.67 True
% 3.46/3.67 Clause #7 (by clausification #[6]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (And
% 3.46/3.67 (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.46/3.67 (∀ (X : Iota), s X → p X))
% 3.46/3.67 (∀ (X Y : Iota), r X Y → q X Y) →
% 3.46/3.67 Exists fun X => Exists fun Y => And (p X) (q X Y))
% 3.46/3.67 False
% 3.46/3.67 Clause #8 (by clausification #[7]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (And
% 3.46/3.67 (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.46/3.67 (∀ (X : Iota), s X → p X))
% 3.46/3.67 (∀ (X Y : Iota), r X Y → q X Y))
% 3.46/3.67 True
% 3.46/3.67 Clause #9 (by clausification #[7]): Eq (Exists fun X => Exists fun Y => And (p X) (q X Y)) False
% 3.46/3.67 Clause #10 (by clausification #[8]): Eq (∀ (X Y : Iota), r X Y → q X Y) True
% 3.46/3.67 Clause #11 (by clausification #[8]): ∀ (a a_1 a_2 : Iota),
% 3.46/3.67 Eq
% 3.46/3.67 (And (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)))
% 3.46/3.67 (∀ (X : Iota), s X → p X))
% 3.46/3.67 True
% 3.46/3.67 Clause #12 (by clausification #[10]): ∀ (a : Iota), Eq (∀ (Y : Iota), r a Y → q a Y) True
% 3.46/3.67 Clause #13 (by clausification #[12]): ∀ (a a_1 : Iota), Eq (r a a_1 → q a a_1) True
% 3.46/3.67 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota), Or (Eq (r a a_1) False) (Eq (q a a_1) True)
% 3.46/3.67 Clause #15 (by clausification #[9]): ∀ (a : Iota), Eq (Exists fun Y => And (p a) (q a Y)) False
% 3.46/3.67 Clause #16 (by clausification #[15]): ∀ (a a_1 : Iota), Eq (And (p a) (q a a_1)) False
% 3.46/3.67 Clause #17 (by clausification #[16]): ∀ (a a_1 : Iota), Or (Eq (p a) False) (Eq (q a a_1) False)
% 3.46/3.67 Clause #18 (by clausification #[11]): Eq (∀ (X : Iota), s X → p X) True
% 3.46/3.67 Clause #19 (by clausification #[11]): ∀ (a a_1 a_2 : Iota), Eq (And (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2))) True
% 3.46/3.67 Clause #20 (by clausification #[18]): ∀ (a : Iota), Eq (s a → p a) True
% 3.46/3.67 Clause #21 (by clausification #[20]): ∀ (a : Iota), Or (Eq (s a) False) (Eq (p a) True)
% 3.46/3.68 Clause #22 (by clausification #[19]): ∀ (a a_1 a_2 : Iota), Eq (r (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 3.46/3.68 Clause #23 (by clausification #[19]): ∀ (a a_1 : Iota), Eq (And (s (skS.0 0 a)) (s (skS.0 1 a a_1))) True
% 3.46/3.68 Clause #24 (by superposition #[22, 14]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (q (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True)
% 3.46/3.68 Clause #25 (by clausification #[23]): ∀ (a a_1 : Iota), Eq (s (skS.0 1 a a_1)) True
% 3.46/3.68 Clause #27 (by superposition #[25, 21]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (p (skS.0 1 a a_1)) True)
% 3.46/3.68 Clause #28 (by clausification #[24]): ∀ (a a_1 a_2 : Iota), Eq (q (skS.0 1 a a_1) (skS.0 2 a a_1 a_2)) True
% 3.46/3.68 Clause #33 (by clausification #[27]): ∀ (a a_1 : Iota), Eq (p (skS.0 1 a a_1)) True
% 3.46/3.68 Clause #34 (by superposition #[33, 17]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Eq (q (skS.0 1 a a_1) a_2) False)
% 3.46/3.68 Clause #35 (by clausification #[34]): ∀ (a a_1 a_2 : Iota), Eq (q (skS.0 1 a a_1) a_2) False
% 3.46/3.68 Clause #36 (by superposition #[35, 28]): Eq False True
% 3.46/3.68 Clause #37 (by clausification #[36]): False
% 3.46/3.68 SZS output end Proof for theBenchmark.p
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