TSTP Solution File: SYO899_8 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO899_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n022.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 04:23:57 EDT 2023
% Result : Theorem 3.46s 3.78s
% 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
% 0.00/0.12 % Problem : SYO899_8 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n022.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 : Sat Aug 26 05:10:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.46/3.78 SZS status Theorem for theBenchmark.p
% 3.46/3.78 SZS output start Proof for theBenchmark.p
% 3.46/3.78 Clause #0 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» W W) True
% 3.46/3.78 Clause #1 (by assumption #[]): Eq
% 3.46/3.78 (Not
% 3.46/3.78 ((Exists fun W =>
% 3.46/3.78 And («$ki_accessible» «$ki_local_world» W) (p W → ∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → q W0)) →
% 3.46/3.78 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) →
% 3.46/3.78 Exists fun W => And («$ki_accessible» «$ki_local_world» W) (q W)))
% 3.46/3.78 True
% 3.46/3.78 Clause #2 (by clausification #[0]): ∀ (a : «$ki_world»), Eq («$ki_accessible» a a) True
% 3.46/3.78 Clause #3 (by clausification #[1]): Eq
% 3.46/3.78 ((Exists fun W =>
% 3.46/3.78 And («$ki_accessible» «$ki_local_world» W) (p W → ∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → q W0)) →
% 3.46/3.78 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) →
% 3.46/3.78 Exists fun W => And («$ki_accessible» «$ki_local_world» W) (q W))
% 3.46/3.78 False
% 3.46/3.78 Clause #4 (by clausification #[3]): Eq
% 3.46/3.78 (Exists fun W =>
% 3.46/3.78 And («$ki_accessible» «$ki_local_world» W) (p W → ∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → q W0))
% 3.46/3.78 True
% 3.46/3.78 Clause #5 (by clausification #[3]): Eq
% 3.46/3.78 ((∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) →
% 3.46/3.78 Exists fun W => And («$ki_accessible» «$ki_local_world» W) (q W))
% 3.46/3.78 False
% 3.46/3.78 Clause #6 (by clausification #[4]): ∀ (a : «$ki_world»),
% 3.46/3.78 Eq
% 3.46/3.78 (And («$ki_accessible» «$ki_local_world» (skS.0 0 a))
% 3.46/3.78 (p (skS.0 0 a) → ∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 0 a) W0 → q W0))
% 3.46/3.78 True
% 3.46/3.78 Clause #7 (by clausification #[6]): ∀ (a : «$ki_world»), Eq (p (skS.0 0 a) → ∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 0 a) W0 → q W0) True
% 3.46/3.78 Clause #8 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True
% 3.46/3.78 Clause #9 (by clausification #[7]): ∀ (a : «$ki_world»),
% 3.46/3.78 Or (Eq (p (skS.0 0 a)) False) (Eq (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 0 a) W0 → q W0) True)
% 3.46/3.78 Clause #10 (by clausification #[9]): ∀ (a a_1 : «$ki_world»), Or (Eq (p (skS.0 0 a)) False) (Eq («$ki_accessible» (skS.0 0 a) a_1 → q a_1) True)
% 3.46/3.78 Clause #11 (by clausification #[10]): ∀ (a a_1 : «$ki_world»),
% 3.46/3.78 Or (Eq (p (skS.0 0 a)) False) (Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (q a_1) True))
% 3.46/3.78 Clause #12 (by clausification #[5]): Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → p W) True
% 3.46/3.78 Clause #13 (by clausification #[5]): Eq (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (q W)) False
% 3.46/3.78 Clause #14 (by clausification #[12]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» a → p a) True
% 3.46/3.78 Clause #15 (by clausification #[14]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (p a) True)
% 3.46/3.78 Clause #16 (by superposition #[15, 8]): ∀ (a : «$ki_world»), Or (Eq (p (skS.0 0 a)) True) (Eq False True)
% 3.46/3.78 Clause #19 (by clausification #[13]): ∀ (a : «$ki_world»), Eq (And («$ki_accessible» «$ki_local_world» a) (q a)) False
% 3.46/3.78 Clause #20 (by clausification #[19]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (q a) False)
% 3.46/3.78 Clause #21 (by superposition #[20, 8]): ∀ (a : «$ki_world»), Or (Eq (q (skS.0 0 a)) False) (Eq False True)
% 3.46/3.78 Clause #24 (by clausification #[21]): ∀ (a : «$ki_world»), Eq (q (skS.0 0 a)) False
% 3.46/3.78 Clause #25 (by clausification #[16]): ∀ (a : «$ki_world»), Eq (p (skS.0 0 a)) True
% 3.46/3.78 Clause #26 (by backward demodulation #[25, 11]): ∀ (a a_1 : «$ki_world»), Or (Eq True False) (Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (q a_1) True))
% 3.46/3.78 Clause #27 (by clausification #[26]): ∀ (a a_1 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (q a_1) True)
% 3.46/3.78 Clause #28 (by superposition #[27, 2]): ∀ (a : «$ki_world»), Or (Eq (q (skS.0 0 a)) True) (Eq False True)
% 3.46/3.78 Clause #29 (by clausification #[28]): ∀ (a : «$ki_world»), Eq (q (skS.0 0 a)) True
% 3.46/3.78 Clause #30 (by superposition #[29, 24]): Eq True False
% 3.46/3.78 Clause #31 (by clausification #[30]): False
% 3.46/3.78 SZS output end Proof for theBenchmark.p
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