TSTP Solution File: SYO248^5 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SYO248^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n012.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 04:21:57 EDT 2023
% Result : Theorem 4.97s 5.17s
% Output : Proof 5.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO248^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n012.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 03:07:10 EDT 2023
% 0.15/0.35 % CPUTime :
% 4.97/5.17 SZS status Theorem for theBenchmark.p
% 4.97/5.17 SZS output start Proof for theBenchmark.p
% 4.97/5.17 Clause #0 (by assumption #[]): Eq
% 4.97/5.17 (Not
% 4.97/5.17 (∀ (P : Iota → Iota → Prop),
% 4.97/5.17 And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And (And (And (Eq (P a) (P aa)) (Eq (P b) (P bb))) (Eq (P e) (P hh)) → Eq (P c) (P dd))
% 4.97/5.17 (And (And (Eq (P a) (P aa)) (Eq (P h) (P hh))) (Eq (P b) (P cc)) → Ne (P d) (P ee)))
% 4.97/5.17 (And (And (And (Eq (P c) (P cc)) (Eq (P cc) (P d))) (Eq (P d) (P dd))) (Ne (P a) (P bb)) →
% 4.97/5.17 Ne (P e) (P hh)))
% 4.97/5.17 (And (And (Eq (P a) (P aa)) (Eq (P d) (P dd))) (Ne (P b) (P cc)) → Eq (P e) (P hh)))
% 4.97/5.17 (And (And (Eq (P e) (P ee)) (Eq (P h) (P hh))) (Eq (P c) (P dd)) → Ne (P a) (P bb)))
% 4.97/5.17 (And (And (And (Eq (P b) (P bb)) (Eq (P bb) (P c))) (Eq (P c) (P cc))) (Ne (P e) (P hh)) → Eq (P d) (P ee)) →
% 4.97/5.17 Or (Or (Or (Or (Or (Ne (P a) (P aa)) (Ne (P b) (P bb))) (Ne (P c) (P cc))) (Ne (P d) (P dd))) (Ne (P e) (P ee)))
% 4.97/5.17 (Ne (P h) (P hh))))
% 4.97/5.17 True
% 4.97/5.17 Clause #1 (by clausification #[0]): Eq
% 4.97/5.17 (∀ (P : Iota → Iota → Prop),
% 4.97/5.17 And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And (And (And (Eq (P a) (P aa)) (Eq (P b) (P bb))) (Eq (P e) (P hh)) → Eq (P c) (P dd))
% 4.97/5.17 (And (And (Eq (P a) (P aa)) (Eq (P h) (P hh))) (Eq (P b) (P cc)) → Ne (P d) (P ee)))
% 4.97/5.17 (And (And (And (Eq (P c) (P cc)) (Eq (P cc) (P d))) (Eq (P d) (P dd))) (Ne (P a) (P bb)) →
% 4.97/5.17 Ne (P e) (P hh)))
% 4.97/5.17 (And (And (Eq (P a) (P aa)) (Eq (P d) (P dd))) (Ne (P b) (P cc)) → Eq (P e) (P hh)))
% 4.97/5.17 (And (And (Eq (P e) (P ee)) (Eq (P h) (P hh))) (Eq (P c) (P dd)) → Ne (P a) (P bb)))
% 4.97/5.17 (And (And (And (Eq (P b) (P bb)) (Eq (P bb) (P c))) (Eq (P c) (P cc))) (Ne (P e) (P hh)) → Eq (P d) (P ee)) →
% 4.97/5.17 Or (Or (Or (Or (Or (Ne (P a) (P aa)) (Ne (P b) (P bb))) (Ne (P c) (P cc))) (Ne (P d) (P dd))) (Ne (P e) (P ee)))
% 4.97/5.17 (Ne (P h) (P hh)))
% 4.97/5.17 False
% 4.97/5.17 Clause #2 (by clausification #[1]): ∀ (a_1 : Iota → Iota → Prop),
% 4.97/5.17 Eq
% 4.97/5.17 (Not
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.17 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.17 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.17 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.17 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 4.97/5.17 (And
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 4.97/5.17 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.17 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 4.97/5.17 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.17 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.17 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.17 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) →
% 4.97/5.17 Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 4.97/5.17 (And
% 4.97/5.17 (And (And (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) (Eq (skS.0 0 a_1 bb) (skS.0 0 a_1 c)))
% 4.97/5.17 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.17 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.17 Eq (skS.0 0 a_1 d) (skS.0 0 a_1 ee)) →
% 4.97/5.17 Or
% 4.97/5.17 (Or
% 4.97/5.17 (Or
% 4.97/5.17 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.17 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.17 (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.17 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)))
% 4.97/5.17 (Ne (skS.0 0 a_1 h) (skS.0 0 a_1 hh))))
% 4.97/5.17 True
% 4.97/5.17 Clause #3 (by clausification #[2]): ∀ (a_1 : Iota → Iota → Prop),
% 4.97/5.17 Eq
% 4.97/5.17 (And
% 4.97/5.17 (And
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.19 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.19 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.19 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 4.97/5.19 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 4.97/5.19 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.19 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) →
% 4.97/5.19 Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) (Eq (skS.0 0 a_1 bb) (skS.0 0 a_1 c)))
% 4.97/5.19 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.19 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.19 Eq (skS.0 0 a_1 d) (skS.0 0 a_1 ee)) →
% 4.97/5.19 Or
% 4.97/5.19 (Or
% 4.97/5.19 (Or
% 4.97/5.19 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.19 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.19 (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)))
% 4.97/5.19 (Ne (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 False
% 4.97/5.19 Clause #4 (by clausification #[3]): ∀ (a_1 : Iota → Iota → Prop),
% 4.97/5.19 Eq
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.19 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.19 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.19 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 4.97/5.19 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 4.97/5.19 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 4.97/5.19 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) →
% 4.97/5.19 Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) (Eq (skS.0 0 a_1 bb) (skS.0 0 a_1 c)))
% 4.97/5.19 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.19 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 4.97/5.19 Eq (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 4.97/5.19 True
% 4.97/5.19 Clause #5 (by clausification #[3]): ∀ (a_1 : Iota → Iota → Prop),
% 4.97/5.19 Eq
% 4.97/5.19 (Or
% 4.97/5.19 (Or
% 4.97/5.19 (Or
% 4.97/5.19 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 4.97/5.19 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 4.97/5.19 (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 4.97/5.19 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)))
% 4.97/5.19 (Ne (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 4.97/5.19 False
% 4.97/5.19 Clause #6 (by clausification #[4]): ∀ (a : Iota → Iota → Prop),
% 4.97/5.19 Eq
% 4.97/5.19 (And
% 4.97/5.19 (And (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c)))
% 4.97/5.19 (Eq (skS.0 0 a c) (skS.0 0 a cc)))
% 4.97/5.19 (Ne (skS.0 0 a e) (skS.0 0 a hh)) →
% 4.97/5.19 Eq (skS.0 0 a d) (skS.0 0 a ee))
% 4.97/5.19 True
% 4.97/5.19 Clause #7 (by clausification #[4]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.21 Eq
% 5.06/5.21 (And
% 5.06/5.21 (And
% 5.06/5.21 (And
% 5.06/5.21 (And
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.06/5.21 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 5.06/5.21 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.21 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.21 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 5.06/5.21 (And
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.21 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.21 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 5.06/5.21 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.21 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.21 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.21 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) →
% 5.06/5.21 Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 5.06/5.21 True
% 5.06/5.21 Clause #8 (by clausification #[6]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or
% 5.06/5.21 (Eq
% 5.06/5.21 (And
% 5.06/5.21 (And (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c)))
% 5.06/5.21 (Eq (skS.0 0 a c) (skS.0 0 a cc)))
% 5.06/5.21 (Ne (skS.0 0 a e) (skS.0 0 a hh)))
% 5.06/5.21 False)
% 5.06/5.21 (Eq (Eq (skS.0 0 a d) (skS.0 0 a ee)) True)
% 5.06/5.21 Clause #9 (by clausification #[8]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (Eq (skS.0 0 a d) (skS.0 0 a ee)) True)
% 5.06/5.21 (Or
% 5.06/5.21 (Eq
% 5.06/5.21 (And (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c)))
% 5.06/5.21 (Eq (skS.0 0 a c) (skS.0 0 a cc)))
% 5.06/5.21 False)
% 5.06/5.21 (Eq (Ne (skS.0 0 a e) (skS.0 0 a hh)) False))
% 5.06/5.21 Clause #10 (by clausification #[9]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or
% 5.06/5.21 (Eq
% 5.06/5.21 (And (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c))) (Eq (skS.0 0 a c) (skS.0 0 a cc)))
% 5.06/5.21 False)
% 5.06/5.21 (Or (Eq (Ne (skS.0 0 a e) (skS.0 0 a hh)) False) (Eq (skS.0 0 a d) (skS.0 0 a ee)))
% 5.06/5.21 Clause #11 (by clausification #[10]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (Ne (skS.0 0 a e) (skS.0 0 a hh)) False)
% 5.06/5.21 (Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c))) False)
% 5.06/5.21 (Eq (Eq (skS.0 0 a c) (skS.0 0 a cc)) False)))
% 5.06/5.21 Clause #12 (by clausification #[11]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (And (Eq (skS.0 0 a b) (skS.0 0 a bb)) (Eq (skS.0 0 a bb) (skS.0 0 a c))) False)
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a c) (skS.0 0 a cc)) False) (Eq (skS.0 0 a e) (skS.0 0 a hh))))
% 5.06/5.21 Clause #13 (by clausification #[12]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a c) (skS.0 0 a cc)) False)
% 5.06/5.21 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh))
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a b) (skS.0 0 a bb)) False) (Eq (Eq (skS.0 0 a bb) (skS.0 0 a c)) False))))
% 5.06/5.21 Clause #14 (by clausification #[13]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh))
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a b) (skS.0 0 a bb)) False)
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a bb) (skS.0 0 a c)) False) (Ne (skS.0 0 a c) (skS.0 0 a cc)))))
% 5.06/5.21 Clause #15 (by clausification #[14]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh))
% 5.06/5.21 (Or (Eq (Eq (skS.0 0 a bb) (skS.0 0 a c)) False)
% 5.06/5.21 (Or (Ne (skS.0 0 a c) (skS.0 0 a cc)) (Ne (skS.0 0 a b) (skS.0 0 a bb)))))
% 5.06/5.21 Clause #16 (by clausification #[15]): ∀ (a : Iota → Iota → Prop),
% 5.06/5.21 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.06/5.21 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh))
% 5.06/5.21 (Or (Ne (skS.0 0 a c) (skS.0 0 a cc)) (Or (Ne (skS.0 0 a b) (skS.0 0 a bb)) (Ne (skS.0 0 a bb) (skS.0 0 a c)))))
% 5.06/5.21 Clause #17 (by clausification #[7]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.21 Eq
% 5.06/5.21 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.24 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) →
% 5.06/5.24 Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.06/5.24 True
% 5.06/5.24 Clause #18 (by clausification #[7]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Eq
% 5.06/5.24 (And
% 5.06/5.24 (And
% 5.06/5.24 (And
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.06/5.24 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 5.06/5.24 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.24 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.24 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 5.06/5.24 (And
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.24 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.24 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 5.06/5.24 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.24 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.24 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.24 True
% 5.06/5.24 Clause #19 (by clausification #[17]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or
% 5.06/5.24 (Eq
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.24 (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)))
% 5.06/5.24 False)
% 5.06/5.24 (Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) True)
% 5.06/5.24 Clause #20 (by clausification #[19]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) True)
% 5.06/5.24 (Or (Eq (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh))) False)
% 5.06/5.24 (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) False))
% 5.06/5.24 Clause #21 (by clausification #[20]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Eq (And (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh))) False)
% 5.06/5.24 (Or (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) False) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 5.06/5.24 Clause #22 (by clausification #[21]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) False)
% 5.06/5.24 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.06/5.24 (Or (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) False) (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False)))
% 5.06/5.24 Clause #23 (by clausification #[22]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.06/5.24 (Or (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) False)
% 5.06/5.24 (Or (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False) (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd))))
% 5.06/5.24 Clause #24 (by clausification #[23]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.06/5.24 (Or (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False)
% 5.06/5.24 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee))))
% 5.06/5.24 Clause #25 (by clausification #[24]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.06/5.24 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.06/5.24 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)) (Ne (skS.0 0 a_1 h) (skS.0 0 a_1 hh))))
% 5.06/5.24 Clause #26 (by clausification #[18]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Eq
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.24 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.24 Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.24 True
% 5.06/5.24 Clause #27 (by clausification #[18]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.24 Eq
% 5.06/5.24 (And
% 5.06/5.24 (And
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.06/5.24 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 5.06/5.24 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.24 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.24 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 5.06/5.24 (And
% 5.06/5.24 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.24 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.24 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 5.06/5.24 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.24 True
% 5.06/5.24 Clause #28 (by clausification #[26]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or
% 5.06/5.28 (Eq
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.28 (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)))
% 5.06/5.28 False)
% 5.06/5.28 (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) True)
% 5.06/5.28 Clause #29 (by clausification #[28]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) True)
% 5.06/5.28 (Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd))) False)
% 5.06/5.28 (Eq (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False))
% 5.06/5.28 Clause #30 (by clausification #[29]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd))) False)
% 5.06/5.28 (Or (Eq (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False) (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.28 Clause #31 (by clausification #[30]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False)
% 5.06/5.28 (Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False) (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False)))
% 5.06/5.28 Clause #32 (by clausification #[31]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False)
% 5.06/5.28 (Or (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc))))
% 5.06/5.28 Clause #33 (by clausification #[32]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 (Or (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False)
% 5.06/5.28 (Or (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa))))
% 5.06/5.28 Clause #34 (by clausification #[33]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 (Or (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc))
% 5.06/5.28 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd))))
% 5.06/5.28 Clause #35 (by clausification #[27]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Eq
% 5.06/5.28 (And
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.28 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.28 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) →
% 5.06/5.28 Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 True
% 5.06/5.28 Clause #36 (by clausification #[27]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Eq
% 5.06/5.28 (And
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.06/5.28 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 5.06/5.28 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.06/5.28 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.06/5.28 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 5.06/5.28 True
% 5.06/5.28 Clause #37 (by clausification #[35]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or
% 5.06/5.28 (Eq
% 5.06/5.28 (And
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.28 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.28 (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)))
% 5.06/5.28 False)
% 5.06/5.28 (Eq (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) True)
% 5.06/5.28 Clause #38 (by clausification #[37]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) True)
% 5.06/5.28 (Or
% 5.06/5.28 (Eq
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.28 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.28 False)
% 5.06/5.28 (Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) False))
% 5.06/5.28 Clause #39 (by clausification #[38]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or
% 5.06/5.28 (Eq
% 5.06/5.28 (And (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.06/5.28 (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.06/5.28 False)
% 5.06/5.28 (Or (Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) False) (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.06/5.28 Clause #40 (by clausification #[39]): ∀ (a_1 : Iota → Iota → Prop),
% 5.06/5.28 Or (Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) False)
% 5.06/5.28 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.06/5.28 (Or (Eq (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d))) False)
% 5.06/5.28 (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False)))
% 5.06/5.28 Clause #41 (by clausification #[40]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.31 (Or (Eq (And (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d))) False)
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False) (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))))
% 5.14/5.31 Clause #42 (by clausification #[41]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) False)
% 5.14/5.31 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) False) (Eq (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)) False))))
% 5.14/5.31 Clause #43 (by clausification #[42]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.31 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) False)
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)) False) (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))))
% 5.14/5.31 Clause #44 (by clausification #[43]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.31 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 cc) (skS.0 0 a_1 d)) False)
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)) (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))))
% 5.14/5.31 Clause #45 (by clausification #[44]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.31 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd))
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))))
% 5.14/5.31 Clause #46 (by clausification #[36]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Eq
% 5.14/5.31 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.14/5.31 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) →
% 5.14/5.31 Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.31 True
% 5.14/5.31 Clause #47 (by clausification #[36]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Eq
% 5.14/5.31 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.14/5.31 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) →
% 5.14/5.31 Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.31 True
% 5.14/5.31 Clause #48 (by clausification #[46]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or
% 5.14/5.31 (Eq
% 5.14/5.31 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)))
% 5.14/5.31 (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)))
% 5.14/5.31 False)
% 5.14/5.31 (Eq (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)) True)
% 5.14/5.31 Clause #49 (by clausification #[48]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Eq (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)) True)
% 5.14/5.31 (Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh))) False)
% 5.14/5.31 (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False))
% 5.14/5.31 Clause #50 (by clausification #[49]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh))) False)
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False) (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee)))
% 5.14/5.31 Clause #51 (by clausification #[50]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) False)
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False) (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False)))
% 5.14/5.31 Clause #52 (by clausification #[51]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False)
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc))))
% 5.14/5.31 Clause #53 (by clausification #[52]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.31 (Or (Eq (Eq (skS.0 0 a_1 h) (skS.0 0 a_1 hh)) False)
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa))))
% 5.14/5.31 Clause #54 (by clausification #[53]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.31 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc))
% 5.14/5.31 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 h) (skS.0 0 a_1 hh))))
% 5.14/5.31 Clause #55 (by clausification #[5]): ∀ (a : Iota → Iota → Prop), Eq (Ne (skS.0 0 a h) (skS.0 0 a hh)) False
% 5.14/5.34 Clause #56 (by clausification #[5]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Eq
% 5.14/5.34 (Or
% 5.14/5.34 (Or
% 5.14/5.34 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.14/5.34 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 5.14/5.34 (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.14/5.34 (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)))
% 5.14/5.34 False
% 5.14/5.34 Clause #57 (by clausification #[55]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a h) (skS.0 0 a hh)
% 5.14/5.34 Clause #60 (by backward contextual literal cutting #[57, 25]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 ee)))
% 5.14/5.34 Clause #61 (by backward contextual literal cutting #[57, 54]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 ee))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.34 Clause #66 (by clausification #[47]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or
% 5.14/5.34 (Eq
% 5.14/5.34 (And (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.14/5.34 (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)))
% 5.14/5.34 False)
% 5.14/5.34 (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) True)
% 5.14/5.34 Clause #67 (by clausification #[66]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) True)
% 5.14/5.34 (Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb))) False)
% 5.14/5.34 (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) False))
% 5.14/5.34 Clause #68 (by clausification #[67]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (And (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb))) False)
% 5.14/5.34 (Or (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) False) (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd)))
% 5.14/5.34 Clause #69 (by clausification #[68]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) False)
% 5.14/5.34 (Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.34 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False) (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) False)))
% 5.14/5.34 Clause #70 (by clausification #[69]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.34 (Or (Eq (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False)
% 5.14/5.34 (Or (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) False) (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))))
% 5.14/5.34 Clause #71 (by clausification #[70]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.34 (Or (Eq (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 bb)) False)
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa))))
% 5.14/5.34 Clause #72 (by clausification #[71]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb))))
% 5.14/5.34 Clause #74 (by clausification #[56]): ∀ (a : Iota → Iota → Prop), Eq (Ne (skS.0 0 a e) (skS.0 0 a ee)) False
% 5.14/5.34 Clause #75 (by clausification #[56]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Eq
% 5.14/5.34 (Or
% 5.14/5.34 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.14/5.34 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 5.14/5.34 (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 dd)))
% 5.14/5.34 False
% 5.14/5.34 Clause #76 (by clausification #[74]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a e) (skS.0 0 a ee)
% 5.14/5.34 Clause #82 (by forward demodulation #[61, 76]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 e))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.34 Clause #83 (by forward demodulation #[60, 76]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.34 Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.34 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd)) (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 e)))
% 5.14/5.34 Clause #84 (by eliminate resolved literals #[83]): ∀ (a_1 : Iota → Iota → Prop), Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 dd))
% 5.14/5.34 Clause #85 (by clausification #[75]): ∀ (a : Iota → Iota → Prop), Eq (Ne (skS.0 0 a d) (skS.0 0 a dd)) False
% 5.14/5.34 Clause #86 (by clausification #[75]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Eq
% 5.14/5.37 (Or (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb)))
% 5.14/5.37 (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)))
% 5.14/5.37 False
% 5.14/5.37 Clause #87 (by clausification #[85]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a d) (skS.0 0 a dd)
% 5.14/5.37 Clause #90 (by backward demodulation #[87, 72]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 d))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb))))
% 5.14/5.37 Clause #91 (by backward demodulation #[87, 84]): ∀ (a_1 : Iota → Iota → Prop), Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 d))
% 5.14/5.37 Clause #92 (by backward contextual literal cutting #[87, 34]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.37 Clause #93 (by backward contextual literal cutting #[87, 45]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 cc)) (Ne (skS.0 0 a_1 cc) (skS.0 0 a_1 d))))
% 5.14/5.37 Clause #98 (by clausification #[86]): ∀ (a : Iota → Iota → Prop), Eq (Ne (skS.0 0 a c) (skS.0 0 a cc)) False
% 5.14/5.37 Clause #99 (by clausification #[86]): ∀ (a_1 : Iota → Iota → Prop), Eq (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb))) False
% 5.14/5.37 Clause #100 (by clausification #[98]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a c) (skS.0 0 a cc)
% 5.14/5.37 Clause #102 (by backward demodulation #[100, 82]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 e))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.37 Clause #103 (by backward contextual literal cutting #[100, 16]): ∀ (a : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.14/5.37 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh)) (Or (Ne (skS.0 0 a b) (skS.0 0 a bb)) (Ne (skS.0 0 a bb) (skS.0 0 a c))))
% 5.14/5.37 Clause #110 (by forward demodulation #[92, 100]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 b) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.37 Clause #111 (by clausification #[99]): ∀ (a : Iota → Iota → Prop), Eq (Ne (skS.0 0 a b) (skS.0 0 a bb)) False
% 5.14/5.37 Clause #112 (by clausification #[99]): ∀ (a_1 : Iota → Iota → Prop), Eq (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)) False
% 5.14/5.37 Clause #113 (by clausification #[111]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a b) (skS.0 0 a bb)
% 5.14/5.37 Clause #114 (by backward demodulation #[113, 110]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 bb) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.14/5.37 Clause #119 (by forward demodulation #[93, 100]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 cc) (skS.0 0 a_1 d))))
% 5.14/5.37 Clause #120 (by eliminate resolved literals #[119]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) (Ne (skS.0 0 a_1 cc) (skS.0 0 a_1 d)))
% 5.14/5.37 Clause #121 (by forward demodulation #[120, 100]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Eq (skS.0 0 a_1 a) (skS.0 0 a_1 bb)) (Ne (skS.0 0 a_1 c) (skS.0 0 a_1 d)))
% 5.14/5.37 Clause #122 (by forward contextual literal cutting #[121, 91]): ∀ (a : Iota → Iota → Prop), Or (Ne (skS.0 0 a e) (skS.0 0 a hh)) (Ne (skS.0 0 a c) (skS.0 0 a d))
% 5.14/5.37 Clause #123 (by clausification #[112]): ∀ (a_1 : Iota → Iota → Prop), Eq (skS.0 0 a_1 a) (skS.0 0 a_1 aa)
% 5.14/5.37 Clause #129 (by forward demodulation #[90, 123]): ∀ (a_1 : Iota → Iota → Prop),
% 5.14/5.37 Or (Eq (skS.0 0 a_1 c) (skS.0 0 a_1 d))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.14/5.37 (Or (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 a)) (Ne (skS.0 0 a_1 b) (skS.0 0 a_1 bb))))
% 5.14/5.37 Clause #130 (by eliminate resolved literals #[129]): ∀ (a : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a c) (skS.0 0 a d)) (Or (Ne (skS.0 0 a e) (skS.0 0 a hh)) (Ne (skS.0 0 a b) (skS.0 0 a bb)))
% 5.23/5.39 Clause #131 (by forward demodulation #[130, 113]): ∀ (a : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a c) (skS.0 0 a d)) (Or (Ne (skS.0 0 a e) (skS.0 0 a hh)) (Ne (skS.0 0 a bb) (skS.0 0 a bb)))
% 5.23/5.39 Clause #132 (by eliminate resolved literals #[131]): ∀ (a : Iota → Iota → Prop), Or (Eq (skS.0 0 a c) (skS.0 0 a d)) (Ne (skS.0 0 a e) (skS.0 0 a hh))
% 5.23/5.39 Clause #133 (by forward contextual literal cutting #[132, 122]): ∀ (a : Iota → Iota → Prop), Ne (skS.0 0 a e) (skS.0 0 a hh)
% 5.23/5.39 Clause #135 (by forward demodulation #[102, 113]): ∀ (a_1 : Iota → Iota → Prop),
% 5.23/5.39 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 e))
% 5.23/5.39 (Or (Ne (skS.0 0 a_1 bb) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 aa)))
% 5.23/5.39 Clause #136 (by forward demodulation #[135, 123]): ∀ (a_1 : Iota → Iota → Prop),
% 5.23/5.39 Or (Ne (skS.0 0 a_1 d) (skS.0 0 a_1 e))
% 5.23/5.39 (Or (Ne (skS.0 0 a_1 bb) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 a)))
% 5.23/5.39 Clause #137 (by eliminate resolved literals #[136]): ∀ (a : Iota → Iota → Prop), Or (Ne (skS.0 0 a d) (skS.0 0 a e)) (Ne (skS.0 0 a bb) (skS.0 0 a c))
% 5.23/5.39 Clause #138 (by forward demodulation #[114, 123]): ∀ (a_1 : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a_1 e) (skS.0 0 a_1 hh))
% 5.23/5.39 (Or (Eq (skS.0 0 a_1 bb) (skS.0 0 a_1 c)) (Ne (skS.0 0 a_1 a) (skS.0 0 a_1 a)))
% 5.23/5.39 Clause #139 (by eliminate resolved literals #[138]): ∀ (a : Iota → Iota → Prop), Or (Eq (skS.0 0 a e) (skS.0 0 a hh)) (Eq (skS.0 0 a bb) (skS.0 0 a c))
% 5.23/5.39 Clause #140 (by forward contextual literal cutting #[139, 133]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a bb) (skS.0 0 a c)
% 5.23/5.39 Clause #144 (by backward contextual literal cutting #[140, 137]): ∀ (a : Iota → Iota → Prop), Ne (skS.0 0 a d) (skS.0 0 a e)
% 5.23/5.39 Clause #147 (by forward demodulation #[103, 113]): ∀ (a : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a d) (skS.0 0 a ee))
% 5.23/5.39 (Or (Eq (skS.0 0 a e) (skS.0 0 a hh)) (Or (Ne (skS.0 0 a bb) (skS.0 0 a bb)) (Ne (skS.0 0 a bb) (skS.0 0 a c))))
% 5.23/5.39 Clause #148 (by eliminate resolved literals #[147]): ∀ (a : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a d) (skS.0 0 a ee)) (Or (Eq (skS.0 0 a e) (skS.0 0 a hh)) (Ne (skS.0 0 a bb) (skS.0 0 a c)))
% 5.23/5.39 Clause #149 (by forward demodulation #[148, 140]): ∀ (a : Iota → Iota → Prop),
% 5.23/5.39 Or (Eq (skS.0 0 a d) (skS.0 0 a ee)) (Or (Eq (skS.0 0 a e) (skS.0 0 a hh)) (Ne (skS.0 0 a bb) (skS.0 0 a bb)))
% 5.23/5.39 Clause #150 (by eliminate resolved literals #[149]): ∀ (a : Iota → Iota → Prop), Or (Eq (skS.0 0 a d) (skS.0 0 a ee)) (Eq (skS.0 0 a e) (skS.0 0 a hh))
% 5.23/5.39 Clause #151 (by forward contextual literal cutting #[150, 133]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a d) (skS.0 0 a ee)
% 5.23/5.39 Clause #167 (by superposition #[151, 76]): ∀ (a : Iota → Iota → Prop), Eq (skS.0 0 a e) (skS.0 0 a d)
% 5.23/5.39 Clause #168 (by forward contextual literal cutting #[167, 144]): False
% 5.23/5.39 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------