TSTP Solution File: SYO902_8 by Duper---1.0
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% File : Duper---1.0
% Problem : SYO902_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n004.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 04:23:58 EDT 2023
% Result : Theorem 3.49s 3.68s
% Output : Proof 3.49s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO902_8 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n004.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 07:58:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.49/3.68 SZS status Theorem for theBenchmark.p
% 3.49/3.68 SZS output start Proof for theBenchmark.p
% 3.49/3.68 Clause #0 (by assumption #[]): Eq (∀ (W : «$ki_world»), «$ki_accessible» W W) True
% 3.49/3.68 Clause #1 (by assumption #[]): Eq
% 3.49/3.68 (Not
% 3.49/3.68 ((Exists fun W =>
% 3.49/3.68 And («$ki_accessible» «$ki_local_world» W)
% 3.49/3.68 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → Exists fun W1 => And («$ki_accessible» W0 W1) (p W1))) →
% 3.49/3.68 Exists fun W => And («$ki_accessible» «$ki_local_world» W) (Exists fun W0 => And («$ki_accessible» W W0) (p W0))))
% 3.49/3.68 True
% 3.49/3.68 Clause #2 (by clausification #[0]): ∀ (a : «$ki_world»), Eq («$ki_accessible» a a) True
% 3.49/3.68 Clause #3 (by clausification #[1]): Eq
% 3.49/3.68 ((Exists fun W =>
% 3.49/3.68 And («$ki_accessible» «$ki_local_world» W)
% 3.49/3.68 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → Exists fun W1 => And («$ki_accessible» W0 W1) (p W1))) →
% 3.49/3.68 Exists fun W => And («$ki_accessible» «$ki_local_world» W) (Exists fun W0 => And («$ki_accessible» W W0) (p W0)))
% 3.49/3.68 False
% 3.49/3.68 Clause #4 (by clausification #[3]): Eq
% 3.49/3.68 (Exists fun W =>
% 3.49/3.68 And («$ki_accessible» «$ki_local_world» W)
% 3.49/3.68 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → Exists fun W1 => And («$ki_accessible» W0 W1) (p W1)))
% 3.49/3.68 True
% 3.49/3.68 Clause #5 (by clausification #[3]): Eq (Exists fun W => And («$ki_accessible» «$ki_local_world» W) (Exists fun W0 => And («$ki_accessible» W W0) (p W0)))
% 3.49/3.68 False
% 3.49/3.68 Clause #6 (by clausification #[4]): ∀ (a : «$ki_world»),
% 3.49/3.68 Eq
% 3.49/3.68 (And («$ki_accessible» «$ki_local_world» (skS.0 0 a))
% 3.49/3.68 (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 0 a) W0 → Exists fun W1 => And («$ki_accessible» W0 W1) (p W1)))
% 3.49/3.68 True
% 3.49/3.68 Clause #7 (by clausification #[6]): ∀ (a : «$ki_world»),
% 3.49/3.68 Eq (∀ (W0 : «$ki_world»), «$ki_accessible» (skS.0 0 a) W0 → Exists fun W1 => And («$ki_accessible» W0 W1) (p W1)) True
% 3.49/3.68 Clause #8 (by clausification #[6]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 0 a)) True
% 3.49/3.68 Clause #9 (by clausification #[7]): ∀ (a a_1 : «$ki_world»),
% 3.49/3.68 Eq («$ki_accessible» (skS.0 0 a) a_1 → Exists fun W1 => And («$ki_accessible» a_1 W1) (p W1)) True
% 3.49/3.68 Clause #10 (by clausification #[9]): ∀ (a a_1 : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (Exists fun W1 => And («$ki_accessible» a_1 W1) (p W1)) True)
% 3.49/3.68 Clause #11 (by clausification #[10]): ∀ (a a_1 a_2 : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False)
% 3.49/3.68 (Eq (And («$ki_accessible» a_1 (skS.0 1 a_1 a_2)) (p (skS.0 1 a_1 a_2))) True)
% 3.49/3.68 Clause #12 (by clausification #[11]): ∀ (a a_1 a_2 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (p (skS.0 1 a_1 a_2)) True)
% 3.49/3.68 Clause #13 (by clausification #[11]): ∀ (a a_1 a_2 : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq («$ki_accessible» a_1 (skS.0 1 a_1 a_2)) True)
% 3.49/3.68 Clause #14 (by superposition #[12, 2]): ∀ (a a_1 : «$ki_world»), Or (Eq (p (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True)
% 3.49/3.68 Clause #15 (by clausification #[5]): ∀ (a : «$ki_world»),
% 3.49/3.68 Eq (And («$ki_accessible» «$ki_local_world» a) (Exists fun W0 => And («$ki_accessible» a W0) (p W0))) False
% 3.49/3.68 Clause #16 (by clausification #[15]): ∀ (a : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (Exists fun W0 => And («$ki_accessible» a W0) (p W0)) False)
% 3.49/3.68 Clause #17 (by clausification #[16]): ∀ (a a_1 : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (And («$ki_accessible» a a_1) (p a_1)) False)
% 3.49/3.68 Clause #18 (by clausification #[17]): ∀ (a a_1 : «$ki_world»),
% 3.49/3.68 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Or (Eq («$ki_accessible» a a_1) False) (Eq (p a_1) False))
% 3.49/3.68 Clause #19 (by superposition #[18, 8]): ∀ (a a_1 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Or (Eq (p a_1) False) (Eq False True))
% 3.49/3.68 Clause #24 (by superposition #[13, 2]): ∀ (a a_1 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True) (Eq False True)
% 3.49/3.68 Clause #27 (by clausification #[19]): ∀ (a a_1 : «$ki_world»), Or (Eq («$ki_accessible» (skS.0 0 a) a_1) False) (Eq (p a_1) False)
% 3.49/3.68 Clause #28 (by clausification #[14]): ∀ (a a_1 : «$ki_world»), Eq (p (skS.0 1 (skS.0 0 a) a_1)) True
% 3.49/3.68 Clause #29 (by clausification #[24]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» (skS.0 0 a) (skS.0 1 (skS.0 0 a) a_1)) True
% 3.49/3.68 Clause #32 (by superposition #[29, 27]): ∀ (a a_1 : «$ki_world»), Or (Eq True False) (Eq (p (skS.0 1 (skS.0 0 a) a_1)) False)
% 3.49/3.68 Clause #34 (by clausification #[32]): ∀ (a a_1 : «$ki_world»), Eq (p (skS.0 1 (skS.0 0 a) a_1)) False
% 3.49/3.68 Clause #35 (by superposition #[34, 28]): Eq False True
% 3.49/3.68 Clause #36 (by clausification #[35]): False
% 3.49/3.68 SZS output end Proof for theBenchmark.p
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