TSTP Solution File: SET790+4 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SET790+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n020.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 14:47:37 EDT 2023
% Result : Theorem 103.00s 103.33s
% Output : Proof 103.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET790+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : duper %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:40:45 EDT 2023
% 0.21/0.36 % CPUTime :
% 103.00/103.33 SZS status Theorem for theBenchmark.p
% 103.00/103.33 SZS output start Proof for theBenchmark.p
% 103.00/103.33 Clause #0 (by assumption #[]): Eq
% 103.00/103.33 (∀ (R E : Iota),
% 103.00/103.33 Iff (order R E)
% 103.00/103.33 (And
% 103.00/103.33 (And (∀ (X : Iota), member X E → apply R X X)
% 103.00/103.33 (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply R X Y) (apply R Y X) → Eq X Y))
% 103.00/103.33 (∀ (X Y Z : Iota),
% 103.00/103.33 And (And (member X E) (member Y E)) (member Z E) → And (apply R X Y) (apply R Y Z) → apply R X Z)))
% 103.00/103.33 True
% 103.00/103.33 Clause #5 (by assumption #[]): Eq (∀ (R E M : Iota), Iff (least M R E) (And (member M E) (∀ (X : Iota), member X E → apply R M X))) True
% 103.00/103.33 Clause #10 (by assumption #[]): Eq (Not (∀ (R E M : Iota), And (order R E) (least M R E) → ∀ (X : Iota), least X R E → Eq M X)) True
% 103.00/103.33 Clause #11 (by clausification #[10]): Eq (∀ (R E M : Iota), And (order R E) (least M R E) → ∀ (X : Iota), least X R E → Eq M X) False
% 103.00/103.33 Clause #12 (by clausification #[11]): ∀ (a : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (Not
% 103.00/103.33 (∀ (E M : Iota),
% 103.00/103.33 And (order (skS.0 0 a) E) (least M (skS.0 0 a) E) → ∀ (X : Iota), least X (skS.0 0 a) E → Eq M X))
% 103.00/103.33 True
% 103.00/103.33 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 103.00/103.33 Eq (∀ (E M : Iota), And (order (skS.0 0 a) E) (least M (skS.0 0 a) E) → ∀ (X : Iota), least X (skS.0 0 a) E → Eq M X)
% 103.00/103.33 False
% 103.00/103.33 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (Not
% 103.00/103.33 (∀ (M : Iota),
% 103.00/103.33 And (order (skS.0 0 a) (skS.0 1 a a_1)) (least M (skS.0 0 a) (skS.0 1 a a_1)) →
% 103.00/103.33 ∀ (X : Iota), least X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X))
% 103.00/103.33 True
% 103.00/103.33 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (∀ (M : Iota),
% 103.00/103.33 And (order (skS.0 0 a) (skS.0 1 a a_1)) (least M (skS.0 0 a) (skS.0 1 a a_1)) →
% 103.00/103.33 ∀ (X : Iota), least X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X)
% 103.00/103.33 False
% 103.00/103.33 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (Not
% 103.00/103.33 (And (order (skS.0 0 a) (skS.0 1 a a_1)) (least (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 103.00/103.33 ∀ (X : Iota), least X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X))
% 103.00/103.33 True
% 103.00/103.33 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (And (order (skS.0 0 a) (skS.0 1 a a_1)) (least (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 103.00/103.33 ∀ (X : Iota), least X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X)
% 103.00/103.33 False
% 103.00/103.33 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 103.00/103.33 Eq (And (order (skS.0 0 a) (skS.0 1 a a_1)) (least (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1))) True
% 103.00/103.33 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (∀ (X : Iota), least X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X) False
% 103.00/103.33 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (least (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) True
% 103.00/103.33 Clause #21 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (order (skS.0 0 a) (skS.0 1 a a_1)) True
% 103.00/103.33 Clause #44 (by clausification #[0]): ∀ (a : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (∀ (E : Iota),
% 103.00/103.33 Iff (order a E)
% 103.00/103.33 (And
% 103.00/103.33 (And (∀ (X : Iota), member X E → apply a X X)
% 103.00/103.33 (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 103.00/103.33 (∀ (X Y Z : Iota),
% 103.00/103.33 And (And (member X E) (member Y E)) (member Z E) → And (apply a X Y) (apply a Y Z) → apply a X Z)))
% 103.00/103.33 True
% 103.00/103.33 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 103.00/103.33 Eq
% 103.00/103.33 (Iff (order a a_1)
% 103.00/103.33 (And
% 103.00/103.33 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 103.00/103.33 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 103.00/103.33 (∀ (X Y Z : Iota),
% 103.00/103.33 And (And (member X a_1) (member Y a_1)) (member Z a_1) → And (apply a X Y) (apply a Y Z) → apply a X Z)))
% 103.00/103.33 True
% 103.00/103.33 Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota),
% 103.00/103.33 Or (Eq (order a a_1) False)
% 103.00/103.33 (Eq
% 103.00/103.33 (And
% 103.00/103.33 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 103.00/103.33 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 103.00/103.33 (∀ (X Y Z : Iota),
% 103.00/103.36 And (And (member X a_1) (member Y a_1)) (member Z a_1) → And (apply a X Y) (apply a Y Z) → apply a X Z))
% 103.00/103.36 True)
% 103.00/103.36 Clause #72 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.00/103.36 Eq
% 103.00/103.36 (Not (least (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)))
% 103.00/103.36 True
% 103.00/103.36 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.00/103.36 Eq (least (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3))
% 103.00/103.36 False
% 103.00/103.36 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (least (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) True
% 103.00/103.36 Clause #75 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)) False
% 103.00/103.36 Clause #136 (by clausification #[5]): ∀ (a : Iota), Eq (∀ (E M : Iota), Iff (least M a E) (And (member M E) (∀ (X : Iota), member X E → apply a M X))) True
% 103.00/103.36 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota),
% 103.00/103.36 Eq (∀ (M : Iota), Iff (least M a a_1) (And (member M a_1) (∀ (X : Iota), member X a_1 → apply a M X))) True
% 103.00/103.36 Clause #138 (by clausification #[137]): ∀ (a a_1 a_2 : Iota), Eq (Iff (least a a_1 a_2) (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 a X))) True
% 103.00/103.36 Clause #140 (by clausification #[138]): ∀ (a a_1 a_2 : Iota),
% 103.00/103.36 Or (Eq (least a a_1 a_2) False) (Eq (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 a X)) True)
% 103.00/103.36 Clause #151 (by clausification #[140]): ∀ (a a_1 a_2 : Iota), Or (Eq (least a a_1 a_2) False) (Eq (∀ (X : Iota), member X a_2 → apply a_1 a X) True)
% 103.00/103.36 Clause #152 (by clausification #[140]): ∀ (a a_1 a_2 : Iota), Or (Eq (least a a_1 a_2) False) (Eq (member a a_2) True)
% 103.00/103.36 Clause #153 (by clausification #[151]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (least a a_1 a_2) False) (Eq (member a_3 a_2 → apply a_1 a a_3) True)
% 103.00/103.36 Clause #154 (by clausification #[153]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (least a a_1 a_2) False) (Or (Eq (member a_3 a_2) False) (Eq (apply a_1 a a_3) True))
% 103.00/103.36 Clause #155 (by superposition #[154, 20]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.00/103.36 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.00/103.36 (Or (Eq (apply (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) a) True) (Eq False True))
% 103.00/103.36 Clause #156 (by superposition #[154, 74]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.00/103.36 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.00/103.36 (Or (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) True) (Eq False True))
% 103.00/103.36 Clause #172 (by superposition #[152, 20]): ∀ (a a_1 a_2 : Iota), Or (Eq (member (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True) (Eq False True)
% 103.00/103.36 Clause #173 (by superposition #[152, 74]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (member (skS.0 11 a a_1 a_2 a_3) (skS.0 1 a a_1)) True) (Eq False True)
% 103.00/103.36 Clause #238 (by clausification #[172]): ∀ (a a_1 a_2 : Iota), Eq (member (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 103.00/103.36 Clause #246 (by clausification #[47]): ∀ (a a_1 : Iota),
% 103.00/103.36 Or (Eq (order a a_1) False)
% 103.00/103.36 (Eq
% 103.00/103.36 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 103.00/103.36 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 103.00/103.36 True)
% 103.00/103.36 Clause #256 (by clausification #[246]): ∀ (a a_1 : Iota),
% 103.00/103.36 Or (Eq (order a a_1) False)
% 103.00/103.36 (Eq (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y) True)
% 103.00/103.36 Clause #258 (by clausification #[256]): ∀ (a a_1 a_2 : Iota),
% 103.00/103.36 Or (Eq (order a a_1) False)
% 103.00/103.36 (Eq (∀ (Y : Iota), And (member a_2 a_1) (member Y a_1) → And (apply a a_2 Y) (apply a Y a_2) → Eq a_2 Y) True)
% 103.00/103.36 Clause #259 (by clausification #[258]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.00/103.36 Or (Eq (order a a_1) False)
% 103.00/103.36 (Eq (And (member a_2 a_1) (member a_3 a_1) → And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True)
% 103.00/103.36 Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.00/103.36 Or (Eq (order a a_1) False)
% 103.00/103.36 (Or (Eq (And (member a_2 a_1) (member a_3 a_1)) False)
% 103.00/103.36 (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True))
% 103.00/103.36 Clause #261 (by clausification #[260]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (order a a_1) False)
% 103.07/103.38 (Or (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True)
% 103.07/103.38 (Or (Eq (member a_2 a_1) False) (Eq (member a_3 a_1) False)))
% 103.07/103.38 Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (order a a_1) False)
% 103.07/103.38 (Or (Eq (member a_2 a_1) False)
% 103.07/103.38 (Or (Eq (member a_3 a_1) False) (Or (Eq (And (apply a a_2 a_3) (apply a a_3 a_2)) False) (Eq (Eq a_2 a_3) True))))
% 103.07/103.38 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (order a a_1) False)
% 103.07/103.38 (Or (Eq (member a_2 a_1) False)
% 103.07/103.38 (Or (Eq (member a_3 a_1) False)
% 103.07/103.38 (Or (Eq (Eq a_2 a_3) True) (Or (Eq (apply a a_2 a_3) False) (Eq (apply a a_3 a_2) False)))))
% 103.07/103.38 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (order a a_1) False)
% 103.07/103.38 (Or (Eq (member a_2 a_1) False)
% 103.07/103.38 (Or (Eq (member a_3 a_1) False) (Or (Eq (apply a a_2 a_3) False) (Or (Eq (apply a a_3 a_2) False) (Eq a_2 a_3)))))
% 103.07/103.38 Clause #265 (by superposition #[264, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) a a_3) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) a_3 a) False) (Or (Eq a a_3) (Eq False True)))))
% 103.07/103.38 Clause #276 (by clausification #[173]): ∀ (a a_1 a_2 a_3 : Iota), Eq (member (skS.0 11 a a_1 a_2 a_3) (skS.0 1 a a_1)) True
% 103.07/103.38 Clause #327 (by clausification #[75]): ∀ (a a_1 a_2 a_3 : Iota), Ne (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_2 a_3)
% 103.07/103.38 Clause #396 (by clausification #[155]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) a) True)
% 103.07/103.38 Clause #398 (by superposition #[396, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) True) (Eq False True)
% 103.07/103.38 Clause #459 (by clausification #[398]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) True
% 103.07/103.38 Clause #484 (by clausification #[156]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) True)
% 103.07/103.38 Clause #485 (by superposition #[484, 238]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) True) (Eq False True)
% 103.07/103.38 Clause #539 (by clausification #[485]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) True
% 103.07/103.38 Clause #542 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) a a_3) False) (Or (Eq (apply (skS.0 0 a_1) a_3 a) False) (Eq a a_3))))
% 103.07/103.38 Clause #543 (by superposition #[542, 238]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) a) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) False) (Or (Eq (skS.0 2 a_1 a_2 a_3) a) (Eq False True))))
% 103.07/103.38 Clause #1460 (by clausification #[543]): ∀ (a a_1 a_2 a_3 : Iota),
% 103.07/103.38 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) (skS.0 2 a_1 a_2 a_3) a) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) False) (Eq (skS.0 2 a_1 a_2 a_3) a)))
% 103.07/103.38 Clause #1462 (by superposition #[1460, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2)) False)
% 103.07/103.38 (Or (Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) (Eq False True)))
% 103.07/103.38 Clause #10351 (by clausification #[1462]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) False)
% 103.07/103.38 (Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2)) False)
% 103.07/103.38 (Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)))
% 103.07/103.38 Clause #10352 (by superposition #[10351, 459]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.07/103.38 Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) False)
% 103.17/103.50 (Or (Eq (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3)) (Eq False True))
% 103.17/103.50 Clause #10353 (by clausification #[10352]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 103.17/103.50 Or (Eq (apply (skS.0 0 a) (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) False)
% 103.17/103.50 (Eq (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3))
% 103.17/103.50 Clause #10354 (by superposition #[10353, 539]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)) (Eq False True)
% 103.17/103.50 Clause #10355 (by clausification #[10354]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (skS.0 2 a a_1 a_2) (skS.0 11 a a_1 a_3 a_4)
% 103.17/103.50 Clause #10356 (by backward contextual literal cutting #[10355, 327]): False
% 103.17/103.50 SZS output end Proof for theBenchmark.p
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