TSTP Solution File: SET789+4 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% 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 : Thu Aug 31 14:47:36 EDT 2023
% Result : Theorem 90.20s 90.40s
% Output : Proof 90.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET789+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % Command : duper %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 15:21:25 EDT 2023
% 0.12/0.33 % CPUTime :
% 90.20/90.40 SZS status Theorem for theBenchmark.p
% 90.20/90.40 SZS output start Proof for theBenchmark.p
% 90.20/90.40 Clause #0 (by assumption #[]): Eq
% 90.20/90.40 (∀ (R E : Iota),
% 90.20/90.40 Iff (order R E)
% 90.20/90.40 (And
% 90.20/90.40 (And (∀ (X : Iota), member X E → apply R X X)
% 90.20/90.40 (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply R X Y) (apply R Y X) → Eq X Y))
% 90.20/90.40 (∀ (X Y Z : Iota),
% 90.20/90.40 And (And (member X E) (member Y E)) (member Z E) → And (apply R X Y) (apply R Y Z) → apply R X Z)))
% 90.20/90.40 True
% 90.20/90.40 Clause #4 (by assumption #[]): Eq (∀ (R E M : Iota), Iff (greatest M R E) (And (member M E) (∀ (X : Iota), member X E → apply R X M))) True
% 90.20/90.40 Clause #10 (by assumption #[]): Eq (Not (∀ (R E M : Iota), And (order R E) (greatest M R E) → ∀ (X : Iota), greatest X R E → Eq M X)) True
% 90.20/90.40 Clause #11 (by clausification #[10]): Eq (∀ (R E M : Iota), And (order R E) (greatest M R E) → ∀ (X : Iota), greatest X R E → Eq M X) False
% 90.20/90.40 Clause #12 (by clausification #[11]): ∀ (a : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (Not
% 90.20/90.40 (∀ (E M : Iota),
% 90.20/90.40 And (order (skS.0 0 a) E) (greatest M (skS.0 0 a) E) → ∀ (X : Iota), greatest X (skS.0 0 a) E → Eq M X))
% 90.20/90.40 True
% 90.20/90.40 Clause #13 (by clausification #[12]): ∀ (a : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (∀ (E M : Iota),
% 90.20/90.40 And (order (skS.0 0 a) E) (greatest M (skS.0 0 a) E) → ∀ (X : Iota), greatest X (skS.0 0 a) E → Eq M X)
% 90.20/90.40 False
% 90.20/90.40 Clause #14 (by clausification #[13]): ∀ (a a_1 : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (Not
% 90.20/90.40 (∀ (M : Iota),
% 90.20/90.40 And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest M (skS.0 0 a) (skS.0 1 a a_1)) →
% 90.20/90.40 ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X))
% 90.20/90.40 True
% 90.20/90.40 Clause #15 (by clausification #[14]): ∀ (a a_1 : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (∀ (M : Iota),
% 90.20/90.40 And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest M (skS.0 0 a) (skS.0 1 a a_1)) →
% 90.20/90.40 ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq M X)
% 90.20/90.40 False
% 90.20/90.40 Clause #16 (by clausification #[15]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (Not
% 90.20/90.40 (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 90.20/90.40 ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X))
% 90.20/90.40 True
% 90.20/90.40 Clause #17 (by clausification #[16]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) →
% 90.20/90.40 ∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X)
% 90.20/90.40 False
% 90.20/90.40 Clause #18 (by clausification #[17]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.40 Eq (And (order (skS.0 0 a) (skS.0 1 a a_1)) (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1))) True
% 90.20/90.40 Clause #19 (by clausification #[17]): ∀ (a a_1 a_2 : Iota), Eq (∀ (X : Iota), greatest X (skS.0 0 a) (skS.0 1 a a_1) → Eq (skS.0 2 a a_1 a_2) X) False
% 90.20/90.40 Clause #20 (by clausification #[18]): ∀ (a a_1 a_2 : Iota), Eq (greatest (skS.0 2 a a_1 a_2) (skS.0 0 a) (skS.0 1 a a_1)) True
% 90.20/90.40 Clause #21 (by clausification #[18]): ∀ (a a_1 : Iota), Eq (order (skS.0 0 a) (skS.0 1 a a_1)) True
% 90.20/90.40 Clause #44 (by clausification #[0]): ∀ (a : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (∀ (E : Iota),
% 90.20/90.40 Iff (order a E)
% 90.20/90.40 (And
% 90.20/90.40 (And (∀ (X : Iota), member X E → apply a X X)
% 90.20/90.40 (∀ (X Y : Iota), And (member X E) (member Y E) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 90.20/90.40 (∀ (X Y Z : Iota),
% 90.20/90.40 And (And (member X E) (member Y E)) (member Z E) → And (apply a X Y) (apply a Y Z) → apply a X Z)))
% 90.20/90.40 True
% 90.20/90.40 Clause #45 (by clausification #[44]): ∀ (a a_1 : Iota),
% 90.20/90.40 Eq
% 90.20/90.40 (Iff (order a a_1)
% 90.20/90.40 (And
% 90.20/90.40 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 90.20/90.40 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 90.20/90.40 (∀ (X Y Z : Iota),
% 90.20/90.40 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)))
% 90.20/90.40 True
% 90.20/90.40 Clause #47 (by clausification #[45]): ∀ (a a_1 : Iota),
% 90.20/90.40 Or (Eq (order a a_1) False)
% 90.20/90.40 (Eq
% 90.20/90.40 (And
% 90.20/90.40 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 90.20/90.40 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 90.20/90.42 (∀ (X Y Z : Iota),
% 90.20/90.42 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))
% 90.20/90.42 True)
% 90.20/90.42 Clause #72 (by clausification #[19]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Eq
% 90.20/90.42 (Not
% 90.20/90.42 (greatest (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)))
% 90.20/90.42 True
% 90.20/90.42 Clause #73 (by clausification #[72]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Eq (greatest (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))
% 90.20/90.42 False
% 90.20/90.42 Clause #74 (by clausification #[73]): ∀ (a a_1 a_2 a_3 : Iota), Eq (greatest (skS.0 11 a a_1 a_2 a_3) (skS.0 0 a) (skS.0 1 a a_1)) True
% 90.20/90.42 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
% 90.20/90.42 Clause #155 (by clausification #[4]): ∀ (a : Iota), Eq (∀ (E M : Iota), Iff (greatest M a E) (And (member M E) (∀ (X : Iota), member X E → apply a X M))) True
% 90.20/90.42 Clause #156 (by clausification #[155]): ∀ (a a_1 : Iota),
% 90.20/90.42 Eq (∀ (M : Iota), Iff (greatest M a a_1) (And (member M a_1) (∀ (X : Iota), member X a_1 → apply a X M))) True
% 90.20/90.42 Clause #157 (by clausification #[156]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.42 Eq (Iff (greatest a a_1 a_2) (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 X a))) True
% 90.20/90.42 Clause #159 (by clausification #[157]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.42 Or (Eq (greatest a a_1 a_2) False) (Eq (And (member a a_2) (∀ (X : Iota), member X a_2 → apply a_1 X a)) True)
% 90.20/90.42 Clause #170 (by clausification #[159]): ∀ (a a_1 a_2 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (∀ (X : Iota), member X a_2 → apply a_1 X a) True)
% 90.20/90.42 Clause #171 (by clausification #[159]): ∀ (a a_1 a_2 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (member a a_2) True)
% 90.20/90.42 Clause #172 (by clausification #[170]): ∀ (a a_1 a_2 a_3 : Iota), Or (Eq (greatest a a_1 a_2) False) (Eq (member a_3 a_2 → apply a_1 a_3 a) True)
% 90.20/90.42 Clause #173 (by clausification #[172]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Or (Eq (greatest a a_1 a_2) False) (Or (Eq (member a_3 a_2) False) (Eq (apply a_1 a_3 a) True))
% 90.20/90.42 Clause #174 (by superposition #[173, 20]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.20/90.42 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) True) (Eq False True))
% 90.20/90.42 Clause #175 (by superposition #[173, 74]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.20/90.42 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.20/90.42 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) True) (Eq False True))
% 90.20/90.42 Clause #176 (by superposition #[171, 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)
% 90.20/90.42 Clause #177 (by superposition #[171, 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)
% 90.20/90.42 Clause #238 (by clausification #[176]): ∀ (a a_1 a_2 : Iota), Eq (member (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)) True
% 90.20/90.42 Clause #246 (by clausification #[47]): ∀ (a a_1 : Iota),
% 90.20/90.42 Or (Eq (order a a_1) False)
% 90.20/90.42 (Eq
% 90.20/90.42 (And (∀ (X : Iota), member X a_1 → apply a X X)
% 90.20/90.42 (∀ (X Y : Iota), And (member X a_1) (member Y a_1) → And (apply a X Y) (apply a Y X) → Eq X Y))
% 90.20/90.42 True)
% 90.20/90.42 Clause #256 (by clausification #[246]): ∀ (a a_1 : Iota),
% 90.20/90.42 Or (Eq (order a a_1) False)
% 90.20/90.42 (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)
% 90.20/90.42 Clause #258 (by clausification #[256]): ∀ (a a_1 a_2 : Iota),
% 90.20/90.42 Or (Eq (order a a_1) False)
% 90.20/90.42 (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)
% 90.20/90.42 Clause #259 (by clausification #[258]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Or (Eq (order a a_1) False)
% 90.20/90.42 (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)
% 90.20/90.42 Clause #260 (by clausification #[259]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.20/90.42 Or (Eq (order a a_1) False)
% 90.20/90.42 (Or (Eq (And (member a_2 a_1) (member a_3 a_1)) False)
% 90.20/90.42 (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True))
% 90.27/90.45 Clause #261 (by clausification #[260]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (order a a_1) False)
% 90.27/90.45 (Or (Eq (And (apply a a_2 a_3) (apply a a_3 a_2) → Eq a_2 a_3) True)
% 90.27/90.45 (Or (Eq (member a_2 a_1) False) (Eq (member a_3 a_1) False)))
% 90.27/90.45 Clause #262 (by clausification #[261]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (order a a_1) False)
% 90.27/90.45 (Or (Eq (member a_2 a_1) False)
% 90.27/90.45 (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))))
% 90.27/90.45 Clause #263 (by clausification #[262]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (order a a_1) False)
% 90.27/90.45 (Or (Eq (member a_2 a_1) False)
% 90.27/90.45 (Or (Eq (member a_3 a_1) False)
% 90.27/90.45 (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)))))
% 90.27/90.45 Clause #264 (by clausification #[263]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (order a a_1) False)
% 90.27/90.45 (Or (Eq (member a_2 a_1) False)
% 90.27/90.45 (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)))))
% 90.27/90.45 Clause #265 (by superposition #[264, 21]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) a a_3) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) a_3 a) False) (Or (Eq a a_3) (Eq False True)))))
% 90.27/90.45 Clause #276 (by clausification #[177]): ∀ (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
% 90.27/90.45 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)
% 90.27/90.45 Clause #387 (by clausification #[174]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) a (skS.0 2 a_1 a_2 a_3)) True)
% 90.27/90.45 Clause #389 (by superposition #[387, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 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)
% 90.27/90.45 Clause #447 (by clausification #[389]): ∀ (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
% 90.27/90.45 Clause #484 (by clausification #[175]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False) (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) True)
% 90.27/90.45 Clause #485 (by superposition #[484, 238]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 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)
% 90.27/90.45 Clause #539 (by clausification #[485]): ∀ (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
% 90.27/90.45 Clause #542 (by clausification #[265]): ∀ (a a_1 a_2 a_3 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (Or (Eq (member a_3 (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (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))))
% 90.27/90.45 Clause #544 (by superposition #[542, 276]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) False)
% 90.27/90.45 (Or (Eq (skS.0 11 a_1 a_2 a_3 a_4) a) (Eq False True))))
% 90.27/90.45 Clause #1784 (by clausification #[544]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 Or (Eq (member a (skS.0 1 a_1 a_2)) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) (skS.0 11 a_1 a_2 a_3 a_4) a) False)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a_1) a (skS.0 11 a_1 a_2 a_3 a_4)) False) (Eq (skS.0 11 a_1 a_2 a_3 a_4) a)))
% 90.27/90.45 Clause #1785 (by superposition #[1784, 238]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 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)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3)) False)
% 90.27/90.45 (Or (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) (Eq False True)))
% 90.27/90.45 Clause #9528 (by clausification #[1785]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.45 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)
% 90.27/90.45 (Or (Eq (apply (skS.0 0 a) (skS.0 2 a a_1 a_4) (skS.0 11 a a_1 a_2 a_3)) False)
% 90.27/90.45 (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)))
% 90.27/90.56 Clause #9529 (by superposition #[9528, 447]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.56 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)
% 90.27/90.56 (Or (Eq (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2)) (Eq False True))
% 90.27/90.56 Clause #9530 (by clausification #[9529]): ∀ (a a_1 a_2 a_3 a_4 : Iota),
% 90.27/90.56 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)
% 90.27/90.56 (Eq (skS.0 11 a a_1 a_3 a_4) (skS.0 2 a a_1 a_2))
% 90.27/90.56 Clause #9531 (by superposition #[9530, 539]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Or (Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)) (Eq False True)
% 90.27/90.56 Clause #9532 (by clausification #[9531]): ∀ (a a_1 a_2 a_3 a_4 : Iota), Eq (skS.0 11 a a_1 a_2 a_3) (skS.0 2 a a_1 a_4)
% 90.27/90.56 Clause #9533 (by backward contextual literal cutting #[9532, 327]): False
% 90.27/90.56 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------