TSTP Solution File: DAT334_8 by Duper---1.0

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%------------------------------------------------------------------------------
% File     : Duper---1.0
% Problem  : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : duper %s

% Computer : n007.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 : Wed Aug 30 22:12:51 EDT 2023

% Result   : Theorem 3.66s 3.89s
% Output   : Proof 3.66s
% 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    : DAT334_8 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.13  % Command    : duper %s
% 0.13/0.34  % Computer : n007.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   : Thu Aug 24 14:11:10 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 3.66/3.89  SZS status Theorem for theBenchmark.p
% 3.66/3.89  SZS output start Proof for theBenchmark.p
% 3.66/3.89  Clause #2 (by assumption #[]): Eq
% 3.66/3.89    (∀ (W : «$ki_world»),
% 3.66/3.89      «$ki_accessible» «$ki_local_world» W →
% 3.66/3.89        And
% 3.66/3.89          (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)))
% 3.66/3.89            (teach W mary psych))
% 3.66/3.89          (teach W sue psych))
% 3.66/3.89    True
% 3.66/3.89  Clause #3 (by assumption #[]): Eq
% 3.66/3.89    (Not
% 3.66/3.89      (∀ (W : «$ki_world»),
% 3.66/3.89        «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)))
% 3.66/3.89    True
% 3.66/3.89  Clause #8 (by clausification #[3]): Eq
% 3.66/3.89    (∀ (W : «$ki_world»),
% 3.66/3.89      «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))
% 3.66/3.89    False
% 3.66/3.89  Clause #9 (by clausification #[8]): ∀ (a : «$ki_world»),
% 3.66/3.89    Eq
% 3.66/3.89      (Not
% 3.66/3.89        («$ki_accessible» «$ki_local_world» (skS.0 1 a) →
% 3.66/3.89          Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)))
% 3.66/3.89      True
% 3.66/3.89  Clause #10 (by clausification #[9]): ∀ (a : «$ki_world»),
% 3.66/3.89    Eq
% 3.66/3.89      («$ki_accessible» «$ki_local_world» (skS.0 1 a) →
% 3.66/3.89        Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs))
% 3.66/3.89      False
% 3.66/3.89  Clause #11 (by clausification #[10]): ∀ (a : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 1 a)) True
% 3.66/3.89  Clause #12 (by clausification #[10]): ∀ (a : «$ki_world»), Eq (Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)) False
% 3.66/3.89  Clause #13 (by clausification #[12]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (And («$ki_exists_in_world_$i» (skS.0 1 a) a_1) (teach (skS.0 1 a) a_1 cs)) False
% 3.66/3.89  Clause #14 (by clausification #[13]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.66/3.89    Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) a_1) False) (Eq (teach (skS.0 1 a) a_1 cs) False)
% 3.66/3.89  Clause #17 (by clausification #[2]): ∀ (a : «$ki_world»),
% 3.66/3.89    Eq
% 3.66/3.89      («$ki_accessible» «$ki_local_world» a →
% 3.66/3.89        And
% 3.66/3.89          (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.66/3.89            (teach a mary psych))
% 3.66/3.89          (teach a sue psych))
% 3.66/3.89      True
% 3.66/3.89  Clause #18 (by clausification #[17]): ∀ (a : «$ki_world»),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.66/3.89      (Eq
% 3.66/3.89        (And
% 3.66/3.89          (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.66/3.89            (teach a mary psych))
% 3.66/3.89          (teach a sue psych))
% 3.66/3.89        True)
% 3.66/3.89  Clause #20 (by clausification #[18]): ∀ (a : «$ki_world»),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.66/3.89      (Eq
% 3.66/3.89        (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.66/3.89          (teach a mary psych))
% 3.66/3.89        True)
% 3.66/3.89  Clause #26 (by clausification #[20]): ∀ (a : «$ki_world»),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.66/3.89      (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True)
% 3.66/3.89  Clause #31 (by clausification #[26]): ∀ (a : «$ki_world»),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.66/3.89      (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)) True)
% 3.66/3.89  Clause #33 (by clausification #[31]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.66/3.89      (Eq (And («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) (teach a (skS.0 2 a a_1) cs)) True)
% 3.66/3.89  Clause #34 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a (skS.0 2 a a_1) cs) True)
% 3.66/3.89  Clause #35 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.66/3.89    Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) True)
% 3.66/3.89  Clause #36 (by superposition #[34, 11]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) True) (Eq False True)
% 3.66/3.89  Clause #43 (by superposition #[35, 11]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.66/3.89    Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1)) True) (Eq False True)
% 3.66/3.89  Clause #45 (by clausification #[36]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) True
% 3.66/3.89  Clause #47 (by clausification #[43]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1)) True
% 3.66/3.89  Clause #48 (by superposition #[47, 14]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) False)
% 3.66/3.89  Clause #49 (by clausification #[48]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) (skS.0 2 (skS.0 1 a) a_1) cs) False
% 3.66/3.89  Clause #50 (by superposition #[49, 45]): Eq False True
% 3.66/3.89  Clause #51 (by clausification #[50]): False
% 3.66/3.89  SZS output end Proof for theBenchmark.p
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