TSTP Solution File: NLP266_23 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n001.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 : Thu Aug 31 09:44:36 EDT 2023
% Result : Theorem 3.98s 4.20s
% Output : Proof 4.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP266_23 : TPTP v8.2.0. Released v8.2.0.
% 0.00/0.14 % Command : duper %s
% 0.13/0.35 % Computer : n001.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 : Thu Aug 24 12:37:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.98/4.20 SZS status Theorem for theBenchmark.p
% 3.98/4.20 SZS output start Proof for theBenchmark.p
% 3.98/4.20 Clause #0 (by assumption #[]): Eq (∀ (W V : «$ki_world»), «$ki_accessible» W V) True
% 3.98/4.20 Clause #1 (by assumption #[]): Eq (∀ (W : «$ki_world») (X : Iota), «$ki_exists_in_world_$i» W X) True
% 3.98/4.20 Clause #3 (by assumption #[]): Eq
% 3.98/4.20 (∀ (W : «$ki_world»),
% 3.98/4.20 «$ki_accessible» «$ki_local_world» W →
% 3.98/4.20 Exists fun I =>
% 3.98/4.20 And («$ki_exists_in_world_$i» W I)
% 3.98/4.20 (∀ (W0 : «$ki_world»), «$ki_accessible» W W0 → And (userid W0 u I) (string W0 I)))
% 3.98/4.20 True
% 3.98/4.20 Clause #4 (by assumption #[]): Eq
% 3.98/4.20 (Exists fun B =>
% 3.98/4.20 And («$ki_exists_in_world_$i» «$ki_local_world» B)
% 3.98/4.20 (∀ (W : «$ki_world»), «$ki_accessible» «$ki_local_world» W → And (entry_box W B) (number W B one)))
% 3.98/4.20 True
% 3.98/4.20 Clause #5 (by assumption #[]): Eq
% 3.98/4.20 (∀ (W : «$ki_world»),
% 3.98/4.20 «$ki_accessible» «$ki_local_world» W →
% 3.98/4.20 ∀ (S : Iota),
% 3.98/4.20 «$ki_exists_in_world_$i» W S →
% 3.98/4.20 ∀ (I : Iota),
% 3.98/4.20 «$ki_exists_in_world_$i» W I →
% 3.98/4.20 ∀ (B : Iota),
% 3.98/4.20 «$ki_exists_in_world_$i» W B →
% 3.98/4.20 And (string W I) (entry_box W B) →
% 3.98/4.20 Exists fun A =>
% 3.98/4.20 And («$ki_exists_in_world_$i» W A)
% 3.98/4.20 (∀ (W0 : «$ki_world»),
% 3.98/4.20 «$ki_accessible» W W0 →
% 3.98/4.20 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2))
% 3.98/4.20 True
% 3.98/4.20 Clause #6 (by assumption #[]): Eq
% 3.98/4.20 (Not
% 3.98/4.20 (∀ (W : «$ki_world»),
% 3.98/4.20 «$ki_accessible» «$ki_local_world» W →
% 3.98/4.20 Exists fun I =>
% 3.98/4.20 And («$ki_exists_in_world_$i» W I)
% 3.98/4.20 (Exists fun B =>
% 3.98/4.20 And («$ki_exists_in_world_$i» W B)
% 3.98/4.20 (Exists fun A =>
% 3.98/4.20 And («$ki_exists_in_world_$i» W A)
% 3.98/4.20 (Exists fun S =>
% 3.98/4.20 And
% 3.98/4.20 (And («$ki_exists_in_world_$i» W S)
% 3.98/4.20 (∀ (W0 : «$ki_world»),
% 3.98/4.20 «$ki_accessible» W W0 → And (And (userid W0 u I) (entry_box W0 B)) (number W0 B one)))
% 3.98/4.20 (∀ (W0 : «$ki_world»),
% 3.98/4.20 «$ki_accessible» W W0 →
% 3.98/4.20 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2))))))
% 3.98/4.20 True
% 3.98/4.20 Clause #7 (by clausification #[1]): ∀ (a : «$ki_world»), Eq (∀ (X : Iota), «$ki_exists_in_world_$i» a X) True
% 3.98/4.20 Clause #8 (by clausification #[7]): ∀ (a : «$ki_world») (a_1 : Iota), Eq («$ki_exists_in_world_$i» a a_1) True
% 3.98/4.20 Clause #9 (by clausification #[0]): ∀ (a : «$ki_world»), Eq (∀ (V : «$ki_world»), «$ki_accessible» a V) True
% 3.98/4.20 Clause #10 (by clausification #[9]): ∀ (a a_1 : «$ki_world»), Eq («$ki_accessible» a a_1) True
% 3.98/4.20 Clause #14 (by clausification #[4]): ∀ (a : Iota),
% 3.98/4.20 Eq
% 3.98/4.20 (And («$ki_exists_in_world_$i» «$ki_local_world» (skS.0 1 a))
% 3.98/4.20 (∀ (W : «$ki_world»),
% 3.98/4.20 «$ki_accessible» «$ki_local_world» W → And (entry_box W (skS.0 1 a)) (number W (skS.0 1 a) one)))
% 3.98/4.20 True
% 3.98/4.20 Clause #15 (by clausification #[14]): ∀ (a : Iota),
% 3.98/4.20 Eq
% 3.98/4.20 (∀ (W : «$ki_world»),
% 3.98/4.20 «$ki_accessible» «$ki_local_world» W → And (entry_box W (skS.0 1 a)) (number W (skS.0 1 a) one))
% 3.98/4.20 True
% 3.98/4.20 Clause #17 (by clausification #[15]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.20 Eq («$ki_accessible» «$ki_local_world» a → And (entry_box a (skS.0 1 a_1)) (number a (skS.0 1 a_1) one)) True
% 3.98/4.20 Clause #18 (by clausification #[17]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.20 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.20 (Eq (And (entry_box a (skS.0 1 a_1)) (number a (skS.0 1 a_1) one)) True)
% 3.98/4.20 Clause #19 (by clausification #[18]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.20 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (number a (skS.0 1 a_1) one) True)
% 3.98/4.20 Clause #20 (by clausification #[18]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.20 Or (Eq («$ki_accessible» «$ki_local_world» a) False) (Eq (entry_box a (skS.0 1 a_1)) True)
% 3.98/4.20 Clause #21 (by forward demodulation #[19, 10]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (number a (skS.0 1 a_1) one) True)
% 3.98/4.22 Clause #22 (by clausification #[21]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (number a (skS.0 1 a_1) one) True
% 3.98/4.22 Clause #23 (by clausification #[3]): ∀ (a : «$ki_world»),
% 3.98/4.22 Eq
% 3.98/4.22 («$ki_accessible» «$ki_local_world» a →
% 3.98/4.22 Exists fun I =>
% 3.98/4.22 And («$ki_exists_in_world_$i» a I)
% 3.98/4.22 (∀ (W0 : «$ki_world»), «$ki_accessible» a W0 → And (userid W0 u I) (string W0 I)))
% 3.98/4.22 True
% 3.98/4.22 Clause #24 (by clausification #[23]): ∀ (a : «$ki_world»),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Eq
% 3.98/4.22 (Exists fun I =>
% 3.98/4.22 And («$ki_exists_in_world_$i» a I)
% 3.98/4.22 (∀ (W0 : «$ki_world»), «$ki_accessible» a W0 → And (userid W0 u I) (string W0 I)))
% 3.98/4.22 True)
% 3.98/4.22 Clause #25 (by clausification #[24]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Eq
% 3.98/4.22 (And («$ki_exists_in_world_$i» a (skS.0 2 a a_1))
% 3.98/4.22 (∀ (W0 : «$ki_world»), «$ki_accessible» a W0 → And (userid W0 u (skS.0 2 a a_1)) (string W0 (skS.0 2 a a_1))))
% 3.98/4.22 True)
% 3.98/4.22 Clause #26 (by clausification #[25]): ∀ (a : «$ki_world») (a_1 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Eq (∀ (W0 : «$ki_world»), «$ki_accessible» a W0 → And (userid W0 u (skS.0 2 a a_1)) (string W0 (skS.0 2 a a_1)))
% 3.98/4.22 True)
% 3.98/4.22 Clause #28 (by clausification #[26]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Eq («$ki_accessible» a a_1 → And (userid a_1 u (skS.0 2 a a_2)) (string a_1 (skS.0 2 a a_2))) True)
% 3.98/4.22 Clause #29 (by clausification #[28]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Or (Eq («$ki_accessible» a a_1) False) (Eq (And (userid a_1 u (skS.0 2 a a_2)) (string a_1 (skS.0 2 a a_2))) True))
% 3.98/4.22 Clause #30 (by clausification #[29]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Or (Eq («$ki_accessible» a a_1) False) (Eq (string a_1 (skS.0 2 a a_2)) True))
% 3.98/4.22 Clause #31 (by clausification #[29]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 3.98/4.22 (Or (Eq («$ki_accessible» a a_1) False) (Eq (userid a_1 u (skS.0 2 a a_2)) True))
% 3.98/4.22 Clause #32 (by forward demodulation #[30, 10]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq True False) (Or (Eq («$ki_accessible» a a_1) False) (Eq (string a_1 (skS.0 2 a a_2)) True))
% 3.98/4.22 Clause #33 (by clausification #[32]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Or (Eq («$ki_accessible» a a_1) False) (Eq (string a_1 (skS.0 2 a a_2)) True)
% 3.98/4.22 Clause #34 (by forward demodulation #[33, 10]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Or (Eq True False) (Eq (string a (skS.0 2 a_1 a_2)) True)
% 3.98/4.22 Clause #35 (by clausification #[34]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Eq (string a (skS.0 2 a_1 a_2)) True
% 3.98/4.22 Clause #36 (by forward demodulation #[20, 10]): ∀ (a : «$ki_world») (a_1 : Iota), Or (Eq True False) (Eq (entry_box a (skS.0 1 a_1)) True)
% 3.98/4.22 Clause #37 (by clausification #[36]): ∀ (a : «$ki_world») (a_1 : Iota), Eq (entry_box a (skS.0 1 a_1)) True
% 3.98/4.22 Clause #40 (by forward demodulation #[31, 10]): ∀ (a a_1 : «$ki_world») (a_2 : Iota),
% 3.98/4.22 Or (Eq True False) (Or (Eq («$ki_accessible» a a_1) False) (Eq (userid a_1 u (skS.0 2 a a_2)) True))
% 3.98/4.22 Clause #41 (by clausification #[40]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Or (Eq («$ki_accessible» a a_1) False) (Eq (userid a_1 u (skS.0 2 a a_2)) True)
% 3.98/4.22 Clause #42 (by forward demodulation #[41, 10]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Or (Eq True False) (Eq (userid a u (skS.0 2 a_1 a_2)) True)
% 3.98/4.22 Clause #43 (by clausification #[42]): ∀ (a a_1 : «$ki_world») (a_2 : Iota), Eq (userid a u (skS.0 2 a_1 a_2)) True
% 3.98/4.22 Clause #44 (by clausification #[5]): ∀ (a : «$ki_world»),
% 3.98/4.22 Eq
% 3.98/4.22 («$ki_accessible» «$ki_local_world» a →
% 3.98/4.22 ∀ (S : Iota),
% 3.98/4.22 «$ki_exists_in_world_$i» a S →
% 4.08/4.24 ∀ (I : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a I →
% 4.08/4.24 ∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a I) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2))
% 4.08/4.24 True
% 4.08/4.24 Clause #45 (by clausification #[44]): ∀ (a : «$ki_world»),
% 4.08/4.24 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.24 (Eq
% 4.08/4.24 (∀ (S : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a S →
% 4.08/4.24 ∀ (I : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a I →
% 4.08/4.24 ∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a I) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2))
% 4.08/4.24 True)
% 4.08/4.24 Clause #46 (by clausification #[45]): ∀ (a : «$ki_world») (a_1 : Iota),
% 4.08/4.24 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.24 (Eq
% 4.08/4.24 («$ki_exists_in_world_$i» a a_1 →
% 4.08/4.24 ∀ (I : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a I →
% 4.08/4.24 ∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a I) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 I B S2))
% 4.08/4.24 True)
% 4.08/4.24 Clause #47 (by clausification #[46]): ∀ (a : «$ki_world») (a_1 : Iota),
% 4.08/4.24 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.24 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.24 (Eq
% 4.08/4.24 (∀ (I : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a I →
% 4.08/4.24 ∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a I) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 I B S2))
% 4.08/4.24 True))
% 4.08/4.24 Clause #48 (by clausification #[47]): ∀ (a : «$ki_world») (a_1 a_2 : Iota),
% 4.08/4.24 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.24 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.24 (Eq
% 4.08/4.24 («$ki_exists_in_world_$i» a a_2 →
% 4.08/4.24 ∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a a_2) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 B S2))
% 4.08/4.24 True))
% 4.08/4.24 Clause #49 (by clausification #[48]): ∀ (a : «$ki_world») (a_1 a_2 : Iota),
% 4.08/4.24 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.24 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.24 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.24 (Eq
% 4.08/4.24 (∀ (B : Iota),
% 4.08/4.24 «$ki_exists_in_world_$i» a B →
% 4.08/4.24 And (string a a_2) (entry_box a B) →
% 4.08/4.24 Exists fun A =>
% 4.08/4.24 And («$ki_exists_in_world_$i» a A)
% 4.08/4.24 (∀ (W0 : «$ki_world»),
% 4.08/4.24 «$ki_accessible» a W0 →
% 4.08/4.24 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 B S2))
% 4.08/4.24 True)))
% 4.08/4.24 Clause #50 (by clausification #[49]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Eq
% 4.08/4.25 («$ki_exists_in_world_$i» a a_3 →
% 4.08/4.25 And (string a a_2) (entry_box a a_3) →
% 4.08/4.25 Exists fun A =>
% 4.08/4.25 And («$ki_exists_in_world_$i» a A)
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 a_3 S2))
% 4.08/4.25 True)))
% 4.08/4.25 Clause #51 (by clausification #[50]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.25 (Eq
% 4.08/4.25 (And (string a a_2) (entry_box a a_3) →
% 4.08/4.25 Exists fun A =>
% 4.08/4.25 And («$ki_exists_in_world_$i» a A)
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 a_3 S2))
% 4.08/4.25 True))))
% 4.08/4.25 Clause #52 (by clausification #[51]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.25 (Or (Eq (And (string a a_2) (entry_box a a_3)) False)
% 4.08/4.25 (Eq
% 4.08/4.25 (Exists fun A =>
% 4.08/4.25 And («$ki_exists_in_world_$i» a A)
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 a_3 S2))
% 4.08/4.25 True)))))
% 4.08/4.25 Clause #53 (by clausification #[52]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.25 (Or
% 4.08/4.25 (Eq
% 4.08/4.25 (Exists fun A =>
% 4.08/4.25 And («$ki_exists_in_world_$i» a A)
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 A S2 → in W0 a_2 a_3 S2))
% 4.08/4.25 True)
% 4.08/4.25 (Or (Eq (string a a_2) False) (Eq (entry_box a a_3) False))))))
% 4.08/4.25 Clause #54 (by clausification #[53]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.25 (Or (Eq (string a a_2) False)
% 4.08/4.25 (Or (Eq (entry_box a a_3) False)
% 4.08/4.25 (Eq
% 4.08/4.25 (And («$ki_exists_in_world_$i» a (skS.0 3 a a_1 a_2 a_3 a_4))
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota),
% 4.08/4.25 «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 (skS.0 3 a a_1 a_2 a_3 a_4) S2 → in W0 a_2 a_3 S2))
% 4.08/4.25 True))))))
% 4.08/4.25 Clause #55 (by clausification #[54]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota),
% 4.08/4.25 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.25 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.25 (Or (Eq (string a a_2) False)
% 4.08/4.25 (Or (Eq (entry_box a a_3) False)
% 4.08/4.25 (Eq
% 4.08/4.25 (∀ (W0 : «$ki_world»),
% 4.08/4.25 «$ki_accessible» a W0 →
% 4.08/4.25 ∀ (S2 : Iota),
% 4.08/4.27 «$ki_exists_in_world_$i» W0 S2 → do W0 a_1 (skS.0 3 a a_1 a_2 a_3 a_4) S2 → in W0 a_2 a_3 S2)
% 4.08/4.27 True))))))
% 4.08/4.27 Clause #57 (by clausification #[55]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota),
% 4.08/4.27 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Eq
% 4.08/4.27 («$ki_accessible» a a_4 →
% 4.08/4.27 ∀ (S2 : Iota),
% 4.08/4.27 «$ki_exists_in_world_$i» a_4 S2 → do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_5) S2 → in a_4 a_2 a_3 S2)
% 4.08/4.27 True))))))
% 4.08/4.27 Clause #58 (by clausification #[57]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota),
% 4.08/4.27 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.27 (Eq
% 4.08/4.27 (∀ (S2 : Iota),
% 4.08/4.27 «$ki_exists_in_world_$i» a_4 S2 → do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_5) S2 → in a_4 a_2 a_3 S2)
% 4.08/4.27 True)))))))
% 4.08/4.27 Clause #59 (by clausification #[58]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota),
% 4.08/4.27 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.27 (Eq («$ki_exists_in_world_$i» a_4 a_5 → do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_6) a_5 → in a_4 a_2 a_3 a_5)
% 4.08/4.27 True)))))))
% 4.08/4.27 Clause #60 (by clausification #[59]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota),
% 4.08/4.27 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a_4 a_5) False)
% 4.08/4.27 (Eq (do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_6) a_5 → in a_4 a_2 a_3 a_5) True))))))))
% 4.08/4.27 Clause #61 (by clausification #[60]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota),
% 4.08/4.27 Or (Eq («$ki_accessible» «$ki_local_world» a) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a_4 a_5) False)
% 4.08/4.27 (Or (Eq (do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_6) a_5) False) (Eq (in a_4 a_2 a_3 a_5) True)))))))))
% 4.08/4.27 Clause #62 (by forward demodulation #[61, 10]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota),
% 4.08/4.27 Or (Eq True False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.27 (Or (Eq (string a a_2) False)
% 4.08/4.27 (Or (Eq (entry_box a a_3) False)
% 4.08/4.27 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.27 (Or (Eq («$ki_exists_in_world_$i» a_4 a_5) False)
% 4.08/4.27 (Or (Eq (do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_6) a_5) False) (Eq (in a_4 a_2 a_3 a_5) True)))))))))
% 4.08/4.29 Clause #63 (by clausification #[62]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_3) False)
% 4.08/4.29 (Or (Eq (string a a_2) False)
% 4.08/4.29 (Or (Eq (entry_box a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_4) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_4 a_5) False)
% 4.08/4.29 (Or (Eq (do a_4 a_1 (skS.0 3 a a_1 a_2 a_3 a_6) a_5) False) (Eq (in a_4 a_2 a_3 a_5) True))))))))
% 4.08/4.29 Clause #64 (by forward demodulation #[63, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq True False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.29 (Or (Eq (string a a_1) False)
% 4.08/4.29 (Or (Eq (entry_box a a_2) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True))))))))
% 4.08/4.29 Clause #65 (by clausification #[64]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_2) False)
% 4.08/4.29 (Or (Eq (string a a_1) False)
% 4.08/4.29 (Or (Eq (entry_box a a_2) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True)))))))
% 4.08/4.29 Clause #66 (by forward demodulation #[65, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq True False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.29 (Or (Eq (string a a_2) False)
% 4.08/4.29 (Or (Eq (entry_box a a_1) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_2 a_1 a_6) a_4) False) (Eq (in a_3 a_2 a_1 a_4) True)))))))
% 4.08/4.29 Clause #67 (by clausification #[66]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq («$ki_exists_in_world_$i» a a_1) False)
% 4.08/4.29 (Or (Eq (string a a_2) False)
% 4.08/4.29 (Or (Eq (entry_box a a_1) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_2 a_1 a_6) a_4) False) (Eq (in a_3 a_2 a_1 a_4) True))))))
% 4.08/4.29 Clause #68 (by forward demodulation #[67, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq True False)
% 4.08/4.29 (Or (Eq (string a a_1) False)
% 4.08/4.29 (Or (Eq (entry_box a a_2) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True))))))
% 4.08/4.29 Clause #69 (by clausification #[68]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq (string a a_1) False)
% 4.08/4.29 (Or (Eq (entry_box a a_2) False)
% 4.08/4.29 (Or (Eq («$ki_accessible» a a_3) False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True)))))
% 4.08/4.29 Clause #70 (by forward demodulation #[69, 10]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.08/4.29 Or (Eq (string a a_1) False)
% 4.08/4.29 (Or (Eq (entry_box a a_2) False)
% 4.08/4.29 (Or (Eq True False)
% 4.08/4.29 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.08/4.29 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True)))))
% 4.08/4.29 Clause #71 (by clausification #[70]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.13/4.31 Or (Eq (string a a_1) False)
% 4.13/4.31 (Or (Eq (entry_box a a_2) False)
% 4.13/4.31 (Or (Eq («$ki_exists_in_world_$i» a_3 a_4) False)
% 4.13/4.31 (Or (Eq (do a_3 a_5 (skS.0 3 a a_5 a_1 a_2 a_6) a_4) False) (Eq (in a_3 a_1 a_2 a_4) True))))
% 4.13/4.31 Clause #72 (by forward demodulation #[71, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.13/4.31 Or (Eq (string a a_1) False)
% 4.13/4.31 (Or (Eq (entry_box a a_2) False)
% 4.13/4.31 (Or (Eq True False) (Or (Eq (do a_3 a_4 (skS.0 3 a a_4 a_1 a_2 a_5) a_6) False) (Eq (in a_3 a_1 a_2 a_6) True))))
% 4.13/4.31 Clause #73 (by clausification #[72]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 a_6 : Iota),
% 4.13/4.31 Or (Eq (string a a_1) False)
% 4.13/4.31 (Or (Eq (entry_box a a_2) False)
% 4.13/4.31 (Or (Eq (do a_3 a_4 (skS.0 3 a a_4 a_1 a_2 a_5) a_6) False) (Eq (in a_3 a_1 a_2 a_6) True)))
% 4.13/4.31 Clause #74 (by superposition #[73, 35]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 : «$ki_world») (a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 a_7 : Iota),
% 4.13/4.31 Or (Eq (entry_box a a_1) False)
% 4.13/4.31 (Or (Eq (do a_2 a_3 (skS.0 3 a a_3 (skS.0 2 a_4 a_5) a_1 a_6) a_7) False)
% 4.13/4.31 (Or (Eq (in a_2 (skS.0 2 a_4 a_5) a_1 a_7) True) (Eq False True)))
% 4.13/4.31 Clause #83 (by clausification #[6]): Eq
% 4.13/4.31 (∀ (W : «$ki_world»),
% 4.13/4.31 «$ki_accessible» «$ki_local_world» W →
% 4.13/4.31 Exists fun I =>
% 4.13/4.31 And («$ki_exists_in_world_$i» W I)
% 4.13/4.31 (Exists fun B =>
% 4.13/4.31 And («$ki_exists_in_world_$i» W B)
% 4.13/4.31 (Exists fun A =>
% 4.13/4.31 And («$ki_exists_in_world_$i» W A)
% 4.13/4.31 (Exists fun S =>
% 4.13/4.31 And
% 4.13/4.31 (And («$ki_exists_in_world_$i» W S)
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» W W0 → And (And (userid W0 u I) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» W W0 →
% 4.13/4.31 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2)))))
% 4.13/4.31 False
% 4.13/4.31 Clause #84 (by clausification #[83]): ∀ (a : «$ki_world»),
% 4.13/4.31 Eq
% 4.13/4.31 (Not
% 4.13/4.31 («$ki_accessible» «$ki_local_world» (skS.0 4 a) →
% 4.13/4.31 Exists fun I =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) I)
% 4.13/4.31 (Exists fun B =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) B)
% 4.13/4.31 (Exists fun A =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.31 (Exists fun S =>
% 4.13/4.31 And
% 4.13/4.31 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.31 And (And (userid W0 u I) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.31 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2))))))
% 4.13/4.31 True
% 4.13/4.31 Clause #85 (by clausification #[84]): ∀ (a : «$ki_world»),
% 4.13/4.31 Eq
% 4.13/4.31 («$ki_accessible» «$ki_local_world» (skS.0 4 a) →
% 4.13/4.31 Exists fun I =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) I)
% 4.13/4.31 (Exists fun B =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) B)
% 4.13/4.31 (Exists fun A =>
% 4.13/4.31 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.31 (Exists fun S =>
% 4.13/4.31 And
% 4.13/4.31 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.31 And (And (userid W0 u I) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.31 (∀ (W0 : «$ki_world»),
% 4.13/4.31 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.31 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2)))))
% 4.13/4.31 False
% 4.13/4.31 Clause #87 (by clausification #[85]): ∀ (a : «$ki_world»),
% 4.13/4.32 Eq
% 4.13/4.32 (Exists fun I =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) I)
% 4.13/4.32 (Exists fun B =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) B)
% 4.13/4.32 (Exists fun A =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.32 (Exists fun S =>
% 4.13/4.32 And
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u I) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.32 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 I B S2)))))
% 4.13/4.32 False
% 4.13/4.32 Clause #88 (by clausification #[74]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 : «$ki_world») (a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 a_7 : Iota),
% 4.13/4.32 Or (Eq (entry_box a a_1) False)
% 4.13/4.32 (Or (Eq (do a_2 a_3 (skS.0 3 a a_3 (skS.0 2 a_4 a_5) a_1 a_6) a_7) False)
% 4.13/4.32 (Eq (in a_2 (skS.0 2 a_4 a_5) a_1 a_7) True))
% 4.13/4.32 Clause #89 (by superposition #[88, 37]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 a_3 : «$ki_world») (a_4 a_5 a_6 a_7 : Iota),
% 4.13/4.32 Or (Eq (do a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) a_7) False)
% 4.13/4.32 (Or (Eq (in a (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_7) True) (Eq False True))
% 4.13/4.32 Clause #90 (by clausification #[89]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 a_3 : «$ki_world») (a_4 a_5 a_6 a_7 : Iota),
% 4.13/4.32 Or (Eq (do a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) a_7) False)
% 4.13/4.32 (Eq (in a (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_7) True)
% 4.13/4.32 Clause #91 (by clausification #[87]): ∀ (a : «$ki_world») (a_1 : Iota),
% 4.13/4.32 Eq
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) a_1)
% 4.13/4.32 (Exists fun B =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) B)
% 4.13/4.32 (Exists fun A =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.32 (Exists fun S =>
% 4.13/4.32 And
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.32 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 a_1 B S2)))))
% 4.13/4.32 False
% 4.13/4.32 Clause #92 (by clausification #[91]): ∀ (a : «$ki_world») (a_1 : Iota),
% 4.13/4.32 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.32 (Eq
% 4.13/4.32 (Exists fun B =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) B)
% 4.13/4.32 (Exists fun A =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.32 (Exists fun S =>
% 4.13/4.32 And
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 B)) (number W0 B one)))
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.32 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 a_1 B S2))))
% 4.13/4.32 False)
% 4.13/4.32 Clause #93 (by clausification #[92]): ∀ (a : «$ki_world») (a_1 a_2 : Iota),
% 4.13/4.32 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.32 (Eq
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) a_2)
% 4.13/4.32 (Exists fun A =>
% 4.13/4.32 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.32 (Exists fun S =>
% 4.13/4.32 And
% 4.13/4.32 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.32 And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.32 (∀ (W0 : «$ki_world»),
% 4.13/4.32 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.32 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 a_1 a_2 S2))))
% 4.13/4.34 False)
% 4.13/4.34 Clause #94 (by clausification #[93]): ∀ (a : «$ki_world») (a_1 a_2 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.13/4.34 (Eq
% 4.13/4.34 (Exists fun A =>
% 4.13/4.34 And («$ki_exists_in_world_$i» (skS.0 4 a) A)
% 4.13/4.34 (Exists fun S =>
% 4.13/4.34 And
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S A S2 → in W0 a_1 a_2 S2)))
% 4.13/4.34 False))
% 4.13/4.34 Clause #95 (by clausification #[94]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.13/4.34 (Eq
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) a_3)
% 4.13/4.34 (Exists fun S =>
% 4.13/4.34 And
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S a_3 S2 → in W0 a_1 a_2 S2)))
% 4.13/4.34 False))
% 4.13/4.34 Clause #96 (by clausification #[95]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.13/4.34 (Eq
% 4.13/4.34 (Exists fun S =>
% 4.13/4.34 And
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) S)
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 S a_3 S2 → in W0 a_1 a_2 S2))
% 4.13/4.34 False)))
% 4.13/4.34 Clause #97 (by clausification #[96]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.13/4.34 (Eq
% 4.13/4.34 (And
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) a_4)
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_4 a_3 S2 → in W0 a_1 a_2 S2))
% 4.13/4.34 False)))
% 4.13/4.34 Clause #98 (by clausification #[97]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.13/4.34 (Or
% 4.13/4.34 (Eq
% 4.13/4.34 (And («$ki_exists_in_world_$i» (skS.0 4 a) a_4)
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one)))
% 4.13/4.34 False)
% 4.13/4.34 (Eq
% 4.13/4.34 (∀ (W0 : «$ki_world»),
% 4.13/4.34 «$ki_accessible» (skS.0 4 a) W0 →
% 4.13/4.34 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_4 a_3 S2 → in W0 a_1 a_2 S2)
% 4.13/4.34 False))))
% 4.13/4.34 Clause #99 (by clausification #[98]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota),
% 4.13/4.34 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.13/4.34 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.36 (Or
% 4.19/4.36 (Eq
% 4.19/4.36 (∀ (W0 : «$ki_world»),
% 4.19/4.36 «$ki_accessible» (skS.0 4 a) W0 →
% 4.19/4.36 ∀ (S2 : Iota), «$ki_exists_in_world_$i» W0 S2 → do W0 a_4 a_3 S2 → in W0 a_1 a_2 S2)
% 4.19/4.36 False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.36 (Eq
% 4.19/4.36 (∀ (W0 : «$ki_world»),
% 4.19/4.36 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one))
% 4.19/4.36 False)))))
% 4.19/4.36 Clause #100 (by clausification #[99]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 : «$ki_world»),
% 4.19/4.36 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.36 (Or
% 4.19/4.36 (Eq
% 4.19/4.36 (∀ (W0 : «$ki_world»),
% 4.19/4.36 «$ki_accessible» (skS.0 4 a) W0 → And (And (userid W0 u a_1) (entry_box W0 a_2)) (number W0 a_2 one))
% 4.19/4.36 False)
% 4.19/4.36 (Eq
% 4.19/4.36 (Not
% 4.19/4.36 («$ki_accessible» (skS.0 4 a) (skS.0 5 a a_4 a_3 a_1 a_2 a_5) →
% 4.19/4.36 ∀ (S2 : Iota),
% 4.19/4.36 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_5) S2 →
% 4.19/4.36 do (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_1 a_2 S2))
% 4.19/4.36 True)))))
% 4.19/4.36 Clause #101 (by clausification #[100]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world»),
% 4.19/4.36 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.36 (Or
% 4.19/4.36 (Eq
% 4.19/4.36 (Not
% 4.19/4.36 («$ki_accessible» (skS.0 4 a) (skS.0 5 a a_4 a_3 a_1 a_2 a_5) →
% 4.19/4.36 ∀ (S2 : Iota),
% 4.19/4.36 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_5) S2 →
% 4.19/4.36 do (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_1 a_2 S2))
% 4.19/4.36 True)
% 4.19/4.36 (Eq
% 4.19/4.36 (Not
% 4.19/4.36 («$ki_accessible» (skS.0 4 a) (skS.0 6 a a_1 a_2 a_6) →
% 4.19/4.36 And (And (userid (skS.0 6 a a_1 a_2 a_6) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_6) a_2))
% 4.19/4.36 (number (skS.0 6 a a_1 a_2 a_6) a_2 one)))
% 4.19/4.36 True)))))
% 4.19/4.36 Clause #102 (by clausification #[101]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world»),
% 4.19/4.36 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.36 (Or
% 4.19/4.36 (Eq
% 4.19/4.36 (Not
% 4.19/4.36 («$ki_accessible» (skS.0 4 a) (skS.0 6 a a_1 a_2 a_5) →
% 4.19/4.36 And (And (userid (skS.0 6 a a_1 a_2 a_5) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_5) a_2))
% 4.19/4.36 (number (skS.0 6 a a_1 a_2 a_5) a_2 one)))
% 4.19/4.36 True)
% 4.19/4.36 (Eq
% 4.19/4.36 («$ki_accessible» (skS.0 4 a) (skS.0 5 a a_4 a_3 a_1 a_2 a_6) →
% 4.19/4.36 ∀ (S2 : Iota),
% 4.19/4.36 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_6) S2 →
% 4.19/4.36 do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 S2)
% 4.19/4.36 False)))))
% 4.19/4.36 Clause #103 (by clausification #[102]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world»),
% 4.19/4.36 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.36 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.37 (Or
% 4.19/4.37 (Eq
% 4.19/4.37 («$ki_accessible» (skS.0 4 a) (skS.0 5 a a_4 a_3 a_1 a_2 a_5) →
% 4.19/4.37 ∀ (S2 : Iota),
% 4.19/4.37 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_5) S2 →
% 4.19/4.37 do (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_1 a_2 S2)
% 4.19/4.37 False)
% 4.19/4.37 (Eq
% 4.19/4.37 («$ki_accessible» (skS.0 4 a) (skS.0 6 a a_1 a_2 a_6) →
% 4.19/4.37 And (And (userid (skS.0 6 a a_1 a_2 a_6) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_6) a_2))
% 4.19/4.37 (number (skS.0 6 a a_1 a_2 a_6) a_2 one))
% 4.19/4.37 False)))))
% 4.19/4.37 Clause #105 (by clausification #[103]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world»),
% 4.19/4.37 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.37 (Or
% 4.19/4.37 (Eq
% 4.19/4.37 («$ki_accessible» (skS.0 4 a) (skS.0 6 a a_1 a_2 a_5) →
% 4.19/4.37 And (And (userid (skS.0 6 a a_1 a_2 a_5) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_5) a_2))
% 4.19/4.37 (number (skS.0 6 a a_1 a_2 a_5) a_2 one))
% 4.19/4.37 False)
% 4.19/4.37 (Eq
% 4.19/4.37 (∀ (S2 : Iota),
% 4.19/4.37 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_6) S2 →
% 4.19/4.37 do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 S2)
% 4.19/4.37 False)))))
% 4.19/4.37 Clause #127 (by clausification #[105]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world»),
% 4.19/4.37 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.37 (Or
% 4.19/4.37 (Eq
% 4.19/4.37 (∀ (S2 : Iota),
% 4.19/4.37 «$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_5) S2 →
% 4.19/4.37 do (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_4 a_3 S2 → in (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_1 a_2 S2)
% 4.19/4.37 False)
% 4.19/4.37 (Eq
% 4.19/4.37 (And (And (userid (skS.0 6 a a_1 a_2 a_6) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_6) a_2))
% 4.19/4.37 (number (skS.0 6 a a_1 a_2 a_6) a_2 one))
% 4.19/4.37 False)))))
% 4.19/4.37 Clause #140 (by clausification #[127]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.37 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.37 (Or
% 4.19/4.37 (Eq
% 4.19/4.37 (And (And (userid (skS.0 6 a a_1 a_2 a_5) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_5) a_2))
% 4.19/4.37 (number (skS.0 6 a a_1 a_2 a_5) a_2 one))
% 4.19/4.37 False)
% 4.19/4.37 (Eq
% 4.19/4.37 (Not
% 4.19/4.37 («$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_6) (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.37 do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.37 in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7)))
% 4.19/4.37 True)))))
% 4.19/4.37 Clause #141 (by clausification #[140]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 : «$ki_world») (a_6 : Iota) (a_7 : «$ki_world»),
% 4.19/4.37 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.37 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.37 (Or
% 4.19/4.37 (Eq
% 4.19/4.37 (Not
% 4.19/4.37 («$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_5) (skS.0 8 a a_4 a_3 a_1 a_2 a_5 a_6) →
% 4.19/4.37 do (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_5 a_6) →
% 4.19/4.39 in (skS.0 5 a a_4 a_3 a_1 a_2 a_5) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_5 a_6)))
% 4.19/4.39 True)
% 4.19/4.39 (Or (Eq (And (userid (skS.0 6 a a_1 a_2 a_7) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_7) a_2)) False)
% 4.19/4.39 (Eq (number (skS.0 6 a a_1 a_2 a_7) a_2 one) False))))))
% 4.19/4.39 Clause #142 (by clausification #[141]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.39 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.39 (Or (Eq (And (userid (skS.0 6 a a_1 a_2 a_5) u a_1) (entry_box (skS.0 6 a a_1 a_2 a_5) a_2)) False)
% 4.19/4.39 (Or (Eq (number (skS.0 6 a a_1 a_2 a_5) a_2 one) False)
% 4.19/4.39 (Eq
% 4.19/4.39 («$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_6) (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.39 do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.39 in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7))
% 4.19/4.39 False))))))
% 4.19/4.39 Clause #143 (by clausification #[142]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.39 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.39 (Or (Eq (number (skS.0 6 a a_1 a_2 a_5) a_2 one) False)
% 4.19/4.39 (Or
% 4.19/4.39 (Eq
% 4.19/4.39 («$ki_exists_in_world_$i» (skS.0 5 a a_4 a_3 a_1 a_2 a_6) (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.39 do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.39 in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7))
% 4.19/4.39 False)
% 4.19/4.39 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_5) u a_1) False)
% 4.19/4.39 (Eq (entry_box (skS.0 6 a a_1 a_2 a_5) a_2) False)))))))
% 4.19/4.39 Clause #145 (by clausification #[143]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.39 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.39 (Or (Eq (number (skS.0 6 a a_1 a_2 a_5) a_2 one) False)
% 4.19/4.39 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_5) u a_1) False)
% 4.19/4.39 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_5) a_2) False)
% 4.19/4.39 (Eq
% 4.19/4.39 (do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7) →
% 4.19/4.39 in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7))
% 4.19/4.39 False)))))))
% 4.19/4.39 Clause #172 (by clausification #[145]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.39 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.39 (Or (Eq (number (skS.0 6 a a_1 a_2 a_5) a_2 one) False)
% 4.19/4.39 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_5) u a_1) False)
% 4.19/4.39 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_5) a_2) False)
% 4.19/4.39 (Eq (do (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_4 a_3 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7)) True)))))))
% 4.19/4.39 Clause #173 (by clausification #[145]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.39 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.39 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_4) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_1 a_2 a_5) a_2 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_5) u a_1) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_5) a_2) False)
% 4.19/4.42 (Eq (in (skS.0 5 a a_4 a_3 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_3 a_1 a_2 a_6 a_7)) False)))))))
% 4.19/4.42 Clause #174 (by forward demodulation #[172, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq True False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_4 a_1 a_5) a_1 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_4 a_1 a_5) u a_4) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_4 a_1 a_5) a_1) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_3 a_2 a_4 a_1 a_6) a_3 a_2 (skS.0 8 a a_3 a_2 a_4 a_1 a_6 a_7)) True)))))))
% 4.19/4.42 Clause #175 (by clausification #[174]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_4 a_1 a_5) a_1 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_4 a_1 a_5) u a_4) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_4 a_1 a_5) a_1) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_3 a_2 a_4 a_1 a_6) a_3 a_2 (skS.0 8 a a_3 a_2 a_4 a_1 a_6 a_7)) True))))))
% 4.19/4.42 Clause #176 (by forward demodulation #[175, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq True False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_3 a_4 a_5) a_4 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_3 a_4 a_5) u a_3) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_3 a_4 a_5) a_4) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_2 a_1 a_3 a_4 a_6) a_2 a_1 (skS.0 8 a a_2 a_1 a_3 a_4 a_6 a_7)) True))))))
% 4.19/4.42 Clause #177 (by clausification #[176]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_3 a_4 a_5) a_4 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_3 a_4 a_5) u a_3) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_3 a_4 a_5) a_4) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_2 a_1 a_3 a_4 a_6) a_2 a_1 (skS.0 8 a a_2 a_1 a_3 a_4 a_6 a_7)) True)))))
% 4.19/4.42 Clause #178 (by forward demodulation #[177, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq True False)
% 4.19/4.42 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_2 a_3 a_4) a_3 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_2 a_3 a_4) u a_2) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_2 a_3 a_4) a_3) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_1 a_5 a_2 a_3 a_6) a_1 a_5 (skS.0 8 a a_1 a_5 a_2 a_3 a_6 a_7)) True)))))
% 4.19/4.42 Clause #179 (by clausification #[178]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_2 a_3 a_4) a_3 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_2 a_3 a_4) u a_2) False)
% 4.19/4.42 (Or (Eq (entry_box (skS.0 6 a a_2 a_3 a_4) a_3) False)
% 4.19/4.42 (Eq (do (skS.0 5 a a_1 a_5 a_2 a_3 a_6) a_1 a_5 (skS.0 8 a a_1 a_5 a_2 a_3 a_6 a_7)) True))))
% 4.19/4.42 Clause #180 (by forward demodulation #[179, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.42 Or (Eq True False)
% 4.19/4.42 (Or (Eq (number (skS.0 6 a a_1 a_2 a_3) a_2 one) False)
% 4.19/4.42 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_3) u a_1) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_3) a_2) False)
% 4.19/4.44 (Eq (do (skS.0 5 a a_4 a_5 a_1 a_2 a_6) a_4 a_5 (skS.0 8 a a_4 a_5 a_1 a_2 a_6 a_7)) True))))
% 4.19/4.44 Clause #181 (by clausification #[180]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or (Eq (number (skS.0 6 a a_1 a_2 a_3) a_2 one) False)
% 4.19/4.44 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_3) u a_1) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_3) a_2) False)
% 4.19/4.44 (Eq (do (skS.0 5 a a_4 a_5 a_1 a_2 a_6) a_4 a_5 (skS.0 8 a a_4 a_5 a_1 a_2 a_6 a_7)) True)))
% 4.19/4.44 Clause #182 (by superposition #[181, 22]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or (Eq (userid (skS.0 6 a a_1 (skS.0 1 a_2) a_3) u a_1) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_1 (skS.0 1 a_2) a_3) (skS.0 1 a_2)) False)
% 4.19/4.44 (Or (Eq (do (skS.0 5 a a_4 a_5 a_1 (skS.0 1 a_2) a_6) a_4 a_5 (skS.0 8 a a_4 a_5 a_1 (skS.0 1 a_2) a_6 a_7)) True)
% 4.19/4.44 (Eq False True)))
% 4.19/4.44 Clause #183 (by clausification #[182]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or (Eq (userid (skS.0 6 a a_1 (skS.0 1 a_2) a_3) u a_1) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_1 (skS.0 1 a_2) a_3) (skS.0 1 a_2)) False)
% 4.19/4.44 (Eq (do (skS.0 5 a a_4 a_5 a_1 (skS.0 1 a_2) a_6) a_4 a_5 (skS.0 8 a a_4 a_5 a_1 (skS.0 1 a_2) a_6 a_7)) True))
% 4.19/4.44 Clause #184 (by superposition #[183, 43]): ∀ (a a_1 : «$ki_world») (a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 : Iota),
% 4.19/4.44 Or (Eq (entry_box (skS.0 6 a (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_4) (skS.0 1 a_3)) False)
% 4.19/4.44 (Or
% 4.19/4.44 (Eq
% 4.19/4.44 (do (skS.0 5 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7) a_5 a_6
% 4.19/4.44 (skS.0 8 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7 a_8))
% 4.19/4.44 True)
% 4.19/4.44 (Eq False True))
% 4.19/4.44 Clause #185 (by clausification #[184]): ∀ (a a_1 : «$ki_world») (a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 : Iota),
% 4.19/4.44 Or (Eq (entry_box (skS.0 6 a (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_4) (skS.0 1 a_3)) False)
% 4.19/4.44 (Eq
% 4.19/4.44 (do (skS.0 5 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7) a_5 a_6
% 4.19/4.44 (skS.0 8 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7 a_8))
% 4.19/4.44 True)
% 4.19/4.44 Clause #186 (by superposition #[185, 37]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or
% 4.19/4.44 (Eq
% 4.19/4.44 (do (skS.0 5 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) a_1 a_2
% 4.19/4.44 (skS.0 8 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6 a_7))
% 4.19/4.44 True)
% 4.19/4.44 (Eq False True)
% 4.19/4.44 Clause #187 (by forward demodulation #[173, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or (Eq True False)
% 4.19/4.44 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.44 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.44 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.44 (Or (Eq (number (skS.0 6 a a_4 a_1 a_5) a_1 one) False)
% 4.19/4.44 (Or (Eq (userid (skS.0 6 a a_4 a_1 a_5) u a_4) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_4 a_1 a_5) a_1) False)
% 4.19/4.44 (Eq (in (skS.0 5 a a_3 a_2 a_4 a_1 a_6) a_4 a_1 (skS.0 8 a a_3 a_2 a_4 a_1 a_6 a_7)) False)))))))
% 4.19/4.44 Clause #188 (by clausification #[187]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.44 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.44 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.44 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_3) False)
% 4.19/4.44 (Or (Eq (number (skS.0 6 a a_4 a_1 a_5) a_1 one) False)
% 4.19/4.44 (Or (Eq (userid (skS.0 6 a a_4 a_1 a_5) u a_4) False)
% 4.19/4.44 (Or (Eq (entry_box (skS.0 6 a a_4 a_1 a_5) a_1) False)
% 4.19/4.44 (Eq (in (skS.0 5 a a_3 a_2 a_4 a_1 a_6) a_4 a_1 (skS.0 8 a a_3 a_2 a_4 a_1 a_6 a_7)) False))))))
% 4.19/4.44 Clause #189 (by forward demodulation #[188, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq True False)
% 4.19/4.46 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.46 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.46 (Or (Eq (number (skS.0 6 a a_3 a_4 a_5) a_4 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_3 a_4 a_5) u a_3) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_3 a_4 a_5) a_4) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_2 a_1 a_3 a_4 a_6) a_3 a_4 (skS.0 8 a a_2 a_1 a_3 a_4 a_6 a_7)) False))))))
% 4.19/4.46 Clause #190 (by clausification #[189]): ∀ (a : «$ki_world») (a_1 a_2 a_3 a_4 : Iota) (a_5 a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.46 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_2) False)
% 4.19/4.46 (Or (Eq (number (skS.0 6 a a_3 a_4 a_5) a_4 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_3 a_4 a_5) u a_3) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_3 a_4 a_5) a_4) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_2 a_1 a_3 a_4 a_6) a_3 a_4 (skS.0 8 a a_2 a_1 a_3 a_4 a_6 a_7)) False)))))
% 4.19/4.46 Clause #191 (by forward demodulation #[190, 8]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq True False)
% 4.19/4.46 (Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.46 (Or (Eq (number (skS.0 6 a a_2 a_3 a_4) a_3 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_2 a_3 a_4) u a_2) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_2 a_3 a_4) a_3) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_1 a_5 a_2 a_3 a_6) a_2 a_3 (skS.0 8 a a_1 a_5 a_2 a_3 a_6 a_7)) False)))))
% 4.19/4.46 Clause #192 (by clausification #[191]): ∀ (a : «$ki_world») (a_1 a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq («$ki_exists_in_world_$i» (skS.0 4 a) a_1) False)
% 4.19/4.46 (Or (Eq (number (skS.0 6 a a_2 a_3 a_4) a_3 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_2 a_3 a_4) u a_2) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_2 a_3 a_4) a_3) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_1 a_5 a_2 a_3 a_6) a_2 a_3 (skS.0 8 a a_1 a_5 a_2 a_3 a_6 a_7)) False))))
% 4.19/4.46 Clause #193 (by forward demodulation #[192, 8]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq True False)
% 4.19/4.46 (Or (Eq (number (skS.0 6 a a_1 a_2 a_3) a_2 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_3) u a_1) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_3) a_2) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_4 a_5 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_5 a_1 a_2 a_6 a_7)) False))))
% 4.19/4.46 Clause #194 (by clausification #[193]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq (number (skS.0 6 a a_1 a_2 a_3) a_2 one) False)
% 4.19/4.46 (Or (Eq (userid (skS.0 6 a a_1 a_2 a_3) u a_1) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_1 a_2 a_3) a_2) False)
% 4.19/4.46 (Eq (in (skS.0 5 a a_4 a_5 a_1 a_2 a_6) a_1 a_2 (skS.0 8 a a_4 a_5 a_1 a_2 a_6 a_7)) False)))
% 4.19/4.46 Clause #195 (by superposition #[194, 22]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Or (Eq (userid (skS.0 6 a a_1 (skS.0 1 a_2) a_3) u a_1) False)
% 4.19/4.46 (Or (Eq (entry_box (skS.0 6 a a_1 (skS.0 1 a_2) a_3) (skS.0 1 a_2)) False)
% 4.19/4.46 (Or
% 4.19/4.46 (Eq
% 4.19/4.46 (in (skS.0 5 a a_4 a_5 a_1 (skS.0 1 a_2) a_6) a_1 (skS.0 1 a_2) (skS.0 8 a a_4 a_5 a_1 (skS.0 1 a_2) a_6 a_7))
% 4.19/4.46 False)
% 4.19/4.46 (Eq False True)))
% 4.19/4.46 Clause #196 (by clausification #[186]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.46 Eq
% 4.19/4.46 (do (skS.0 5 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) a_1 a_2
% 4.19/4.46 (skS.0 8 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6 a_7))
% 4.19/4.46 True
% 4.19/4.46 Clause #197 (by superposition #[196, 90]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 a_3 : «$ki_world») (a_4 a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 a_9 : Iota)
% 4.19/4.46 (a_10 : «$ki_world») (a_11 : Iota),
% 4.19/4.46 Or (Eq True False)
% 4.19/4.46 (Eq
% 4.19/4.46 (in (skS.0 5 a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_7 a_8) (skS.0 1 a_9) a_10)
% 4.19/4.48 (skS.0 2 a_3 a_4) (skS.0 1 a_5)
% 4.19/4.48 (skS.0 8 a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_7 a_8) (skS.0 1 a_9) a_10 a_11))
% 4.19/4.48 True)
% 4.19/4.48 Clause #198 (by clausification #[195]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.48 Or (Eq (userid (skS.0 6 a a_1 (skS.0 1 a_2) a_3) u a_1) False)
% 4.19/4.48 (Or (Eq (entry_box (skS.0 6 a a_1 (skS.0 1 a_2) a_3) (skS.0 1 a_2)) False)
% 4.19/4.48 (Eq (in (skS.0 5 a a_4 a_5 a_1 (skS.0 1 a_2) a_6) a_1 (skS.0 1 a_2) (skS.0 8 a a_4 a_5 a_1 (skS.0 1 a_2) a_6 a_7))
% 4.19/4.48 False))
% 4.19/4.48 Clause #199 (by superposition #[198, 43]): ∀ (a a_1 : «$ki_world») (a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 : Iota),
% 4.19/4.48 Or (Eq (entry_box (skS.0 6 a (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_4) (skS.0 1 a_3)) False)
% 4.19/4.48 (Or
% 4.19/4.48 (Eq
% 4.19/4.48 (in (skS.0 5 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7) (skS.0 2 a_1 a_2) (skS.0 1 a_3)
% 4.19/4.48 (skS.0 8 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7 a_8))
% 4.19/4.48 False)
% 4.19/4.48 (Eq False True))
% 4.19/4.48 Clause #200 (by clausification #[199]): ∀ (a a_1 : «$ki_world») (a_2 a_3 : Iota) (a_4 : «$ki_world») (a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 : Iota),
% 4.19/4.48 Or (Eq (entry_box (skS.0 6 a (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_4) (skS.0 1 a_3)) False)
% 4.19/4.48 (Eq
% 4.19/4.48 (in (skS.0 5 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7) (skS.0 2 a_1 a_2) (skS.0 1 a_3)
% 4.19/4.48 (skS.0 8 a a_5 a_6 (skS.0 2 a_1 a_2) (skS.0 1 a_3) a_7 a_8))
% 4.19/4.48 False)
% 4.19/4.48 Clause #201 (by superposition #[200, 37]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.48 Or
% 4.19/4.48 (Eq
% 4.19/4.48 (in (skS.0 5 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_3 a_4) (skS.0 1 a_5)
% 4.19/4.48 (skS.0 8 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6 a_7))
% 4.19/4.48 False)
% 4.19/4.48 (Eq False True)
% 4.19/4.48 Clause #202 (by clausification #[201]): ∀ (a : «$ki_world») (a_1 a_2 : Iota) (a_3 : «$ki_world») (a_4 a_5 : Iota) (a_6 : «$ki_world») (a_7 : Iota),
% 4.19/4.48 Eq
% 4.19/4.48 (in (skS.0 5 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_3 a_4) (skS.0 1 a_5)
% 4.19/4.48 (skS.0 8 a a_1 a_2 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6 a_7))
% 4.19/4.48 False
% 4.19/4.48 Clause #203 (by clausification #[197]): ∀ (a : «$ki_world») (a_1 : Iota) (a_2 a_3 : «$ki_world») (a_4 a_5 a_6 : Iota) (a_7 : «$ki_world») (a_8 a_9 : Iota)
% 4.19/4.48 (a_10 : «$ki_world») (a_11 : Iota),
% 4.19/4.48 Eq
% 4.19/4.48 (in (skS.0 5 a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_7 a_8) (skS.0 1 a_9) a_10)
% 4.19/4.48 (skS.0 2 a_3 a_4) (skS.0 1 a_5)
% 4.19/4.48 (skS.0 8 a a_1 (skS.0 3 a_2 a_1 (skS.0 2 a_3 a_4) (skS.0 1 a_5) a_6) (skS.0 2 a_7 a_8) (skS.0 1 a_9) a_10 a_11))
% 4.19/4.48 True
% 4.19/4.48 Clause #204 (by superposition #[203, 202]): Eq True False
% 4.19/4.48 Clause #205 (by clausification #[204]): False
% 4.19/4.48 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------