TSTP Solution File: DAT333_3 by Duper---1.0
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%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : DAT333_3 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n024.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 22:12:49 EDT 2023
% Result : Theorem 5.86s 6.06s
% Output : Proof 5.86s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : DAT333_3 : TPTP v8.2.0. Released v8.2.0.
% 0.09/0.12 % Command : duper %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Aug 24 14:39:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 5.86/6.06 SZS status Theorem for theBenchmark.p
% 5.86/6.06 SZS output start Proof for theBenchmark.p
% 5.86/6.06 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world») (X : Iota), «$ki_exists_in_world_$i» W X) True
% 5.86/6.06 Clause #3 (by assumption #[]): Eq
% 5.86/6.06 (∀ (W : «$ki_world»),
% 5.86/6.06 «$ki_accessible» «$ki_local_world» W →
% 5.86/6.06 And
% 5.86/6.06 (And (And (teach W john math) (Exists fun X => And («$ki_exists_in_world_$i» W X) (teach W X cs)))
% 5.86/6.06 (teach W mary psych))
% 5.86/6.06 (teach W sue psych))
% 5.86/6.06 True
% 5.86/6.06 Clause #4 (by assumption #[]): Eq
% 5.86/6.06 (Not
% 5.86/6.06 (Exists fun X =>
% 5.86/6.06 And («$ki_exists_in_world_$i» «$ki_local_world» X)
% 5.86/6.06 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john X)))
% 5.86/6.06 True
% 5.86/6.06 Clause #5 (by clausification #[1]): ∀ (a : «$ki_world»), Eq (∀ (X : Iota), «$ki_exists_in_world_$i» a X) True
% 5.86/6.06 Clause #6 (by clausification #[5]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» a a_1) True
% 5.86/6.06 Clause #13 (by clausification #[4]): Eq
% 5.86/6.06 (Exists fun X =>
% 5.86/6.06 And («$ki_exists_in_world_$i» «$ki_local_world» X)
% 5.86/6.06 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john X))
% 5.86/6.06 False
% 5.86/6.06 Clause #14 (by clausification #[13]): ∀ (a : Iota),
% 5.86/6.06 Eq
% 5.86/6.06 (And («$ki_exists_in_world_$i» «$ki_local_world» a)
% 5.86/6.06 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john a))
% 5.86/6.06 False
% 5.86/6.06 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 5.86/6.06 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 5.86/6.06 (Eq (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → teach W john a) False)
% 5.86/6.06 Clause #16 (by clausification #[15]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 5.86/6.06 (Eq (Not («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1) → teach (skS.0 2 a a_1) john a)) True)
% 5.86/6.06 Clause #17 (by clausification #[16]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 5.86/6.06 (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1) → teach (skS.0 2 a a_1) john a) False)
% 5.86/6.06 Clause #18 (by clausification #[17]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False)
% 5.86/6.06 (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True)
% 5.86/6.06 Clause #19 (by clausification #[17]): ∀ (a : Iota) (a_1 : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_exists_in_world_$i» «$ki_local_world» a) False) (Eq (teach (skS.0 2 a a_1) john a) False)
% 5.86/6.06 Clause #20 (by forward demodulation #[18, 6]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq True False) (Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True)
% 5.86/6.06 Clause #21 (by clausification #[20]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq («$ki_accessible» «$ki_local_world» (skS.0 2 a a_1)) True
% 5.86/6.06 Clause #22 (by forward demodulation #[19, 6]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq True False) (Eq (teach (skS.0 2 a a_1) john a) False)
% 5.86/6.06 Clause #23 (by clausification #[22]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq (teach (skS.0 2 a a_1) john a) False
% 5.86/6.06 Clause #24 (by clausification #[3]): ∀ (a : «$ki_world»),
% 5.86/6.06 Eq
% 5.86/6.06 («$ki_accessible» «$ki_local_world» a →
% 5.86/6.06 And
% 5.86/6.06 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 5.86/6.06 (teach a mary psych))
% 5.86/6.06 (teach a sue psych))
% 5.86/6.06 True
% 5.86/6.06 Clause #25 (by clausification #[24]): ∀ (a : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 5.86/6.06 (Eq
% 5.86/6.06 (And
% 5.86/6.06 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 5.86/6.06 (teach a mary psych))
% 5.86/6.06 (teach a sue psych))
% 5.86/6.06 True)
% 5.86/6.06 Clause #27 (by clausification #[25]): ∀ (a : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 5.86/6.06 (Eq
% 5.86/6.06 (And (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs)))
% 5.86/6.06 (teach a mary psych))
% 5.86/6.06 True)
% 5.86/6.06 Clause #33 (by clausification #[27]): ∀ (a : «$ki_world»),
% 5.86/6.06 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 5.86/6.06 (Eq (And (teach a john math) (Exists fun X => And («$ki_exists_in_world_$i» a X) (teach a X cs))) True)
% 5.86/6.06 Clause #39 (by clausification #[33]): ∀ (a : «$ki_world»), Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (teach a john math) True)
% 5.86/6.06 Clause #45 (by superposition #[39, 21]): ∀ (a : Iota) (a_1 : «$ki_world»), Or (Eq (teach (skS.0 2 a a_1) john math) True) (Eq False True)
% 5.86/6.06 Clause #48 (by clausification #[45]): ∀ (a : Iota) (a_1 : «$ki_world»), Eq (teach (skS.0 2 a a_1) john math) True
% 5.86/6.06 Clause #49 (by superposition #[48, 23]): Eq True False
% 5.86/6.06 Clause #50 (by clausification #[49]): False
% 5.86/6.06 SZS output end Proof for theBenchmark.p
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