TSTP Solution File: DAT334_23 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT334_23 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 22:12:50 EDT 2023
% Result : Theorem 3.55s 3.71s
% Output : Proof 3.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : DAT334_23 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n027.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 : Thu Aug 24 15:12:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 3.55/3.71 SZS status Theorem for theBenchmark.p
% 3.55/3.71 SZS output start Proof for theBenchmark.p
% 3.55/3.71 Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» W V) True
% 3.55/3.71 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world») (X : Iota), «$ki_exists_in_world_$i» W X) True
% 3.55/3.71 Clause #3 (by assumption #[]): Eq
% 3.55/3.71 (∀ (W : «$ki_world»),
% 3.55/3.71 «$ki_accessible» «$ki_local_world» W →
% 3.55/3.71 And
% 3.55/3.71 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)))
% 3.55/3.71 (teach W mary psych))
% 3.55/3.71 (teach W sue psych))
% 3.55/3.71 True
% 3.55/3.71 Clause #4 (by assumption #[]): Eq
% 3.55/3.71 (Not
% 3.55/3.71 (∀ (W : «$ki_world»),
% 3.55/3.71 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)))
% 3.55/3.71 True
% 3.55/3.71 Clause #5 (by clausification #[1]): ∀ (a : «$ki_world»), Eq (∀ (X : Iota), «$ki_exists_in_world_$i» a X) True
% 3.55/3.71 Clause #6 (by clausification #[5]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» a a_1) True
% 3.55/3.71 Clause #7 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» a V) True
% 3.55/3.71 Clause #8 (by clausification #[7]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» a a_1) True
% 3.55/3.71 Clause #12 (by clausification #[4]): Eq
% 3.55/3.71 (∀ (W : «$ki_world»),
% 3.55/3.71 «$ki_accessible» «$ki_local_world» W → Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs))
% 3.55/3.71 False
% 3.55/3.71 Clause #13 (by clausification #[12]): ∀ (a : «$ki_world»),
% 3.55/3.71 Eq
% 3.55/3.71 (Not
% 3.55/3.71 («$ki_accessible» «$ki_local_world» (skS.0 1 a) →
% 3.55/3.71 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs)))
% 3.55/3.71 True
% 3.55/3.71 Clause #14 (by clausification #[13]): ∀ (a : «$ki_world»),
% 3.55/3.71 Eq
% 3.55/3.71 («$ki_accessible» «$ki_local_world» (skS.0 1 a) →
% 3.55/3.71 Exists fun X => And («$ki_exists_in_world_$i» (skS.0 1 a) X) (teach (skS.0 1 a) X cs))
% 3.55/3.71 False
% 3.55/3.71 Clause #16 (by clausification #[14]): ∀ (a : «$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
% 3.55/3.71 Clause #17 (by clausification #[16]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (And («$ki_exists_in_world_$i» (skS.0 1 a) a_1) (teach (skS.0 1 a) a_1 cs)) False
% 3.55/3.71 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.55/3.71 Or (Eq («$ki_exists_in_world_$i» (skS.0 1 a) a_1) False) (Eq (teach (skS.0 1 a) a_1 cs) False)
% 3.55/3.71 Clause #19 (by forward demodulation #[18, 6]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach (skS.0 1 a) a_1 cs) False)
% 3.55/3.71 Clause #20 (by clausification #[19]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach (skS.0 1 a) a_1 cs) False
% 3.55/3.71 Clause #21 (by clausification #[3]): ∀ (a : «$ki_world»),
% 3.55/3.71 Eq
% 3.55/3.71 («$ki_accessible» «$ki_local_world» a →
% 3.55/3.71 And
% 3.55/3.71 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.55/3.71 (teach a mary psych))
% 3.55/3.71 (teach a sue psych))
% 3.55/3.71 True
% 3.55/3.71 Clause #22 (by clausification #[21]): ∀ (a : «$ki_world»),
% 3.55/3.71 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.55/3.71 (Eq
% 3.55/3.71 (And
% 3.55/3.71 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.55/3.71 (teach a mary psych))
% 3.55/3.71 (teach a sue psych))
% 3.55/3.71 True)
% 3.55/3.71 Clause #24 (by clausification #[22]): ∀ (a : «$ki_world»),
% 3.55/3.71 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.55/3.71 (Eq
% 3.55/3.71 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 3.55/3.71 (teach a mary psych))
% 3.55/3.71 True)
% 3.55/3.71 Clause #28 (by clausification #[24]): ∀ (a : «$ki_world»),
% 3.55/3.71 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.55/3.71 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True)
% 3.55/3.71 Clause #31 (by clausification #[28]): ∀ (a : «$ki_world»),
% 3.55/3.71 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.55/3.71 (Eq (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)) True)
% 3.55/3.71 Clause #33 (by clausification #[31]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.55/3.71 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.55/3.72 (Eq (And («$ki_exists_in_world_$i» a (skS.0 2 a a_1)) (teach a (skS.0 2 a a_1) cs)) True)
% 3.55/3.72 Clause #34 (by clausification #[33]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.55/3.72 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a (skS.0 2 a a_1) cs) True)
% 3.55/3.72 Clause #36 (by forward demodulation #[34, 8]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (teach a (skS.0 2 a a_1) cs) True)
% 3.55/3.72 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (teach a (skS.0 2 a a_1) cs) True
% 3.55/3.72 Clause #38 (by superposition #[37, 20]): Eq True False
% 3.55/3.72 Clause #39 (by clausification #[38]): False
% 3.55/3.72 SZS output end Proof for theBenchmark.p
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