TSTP Solution File: SEU444+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n023.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 16:42:10 EDT 2023
% Result : Theorem 46.97s 47.17s
% Output : Proof 47.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU444+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 00:36:58 EDT 2023
% 0.13/0.35 % CPUTime :
% 46.97/47.17 SZS status Theorem for theBenchmark.p
% 46.97/47.17 SZS output start Proof for theBenchmark.p
% 46.97/47.17 Clause #0 (by assumption #[]): Eq
% 46.97/47.17 (Not
% 46.97/47.17 (∀ (A B C : Iota),
% 46.97/47.17 m2_relset_1 C B A →
% 46.97/47.17 And (Eq (k1_funct_5 C) (k10_relset_1 A B (k6_relset_1 B A C) A))
% 46.97/47.17 (Eq (k10_relset_1 A B (k6_relset_1 B A C) (k10_relset_1 B A C B))
% 46.97/47.17 (k10_relset_1 A B (k6_relset_1 B A C) (k2_funct_5 C)))))
% 46.97/47.17 True
% 46.97/47.17 Clause #32 (by assumption #[]): Eq (∀ (A B C : Iota), m1_relset_1 C A B → Eq (k6_relset_1 A B C) (k4_relat_1 C)) True
% 46.97/47.17 Clause #33 (by assumption #[]): Eq (∀ (A B C : Iota), Iff (m2_relset_1 C A B) (m1_relset_1 C A B)) True
% 46.97/47.17 Clause #37 (by assumption #[]): Eq
% 46.97/47.17 (∀ (A B C : Iota),
% 46.97/47.17 m2_relset_1 C B A →
% 46.97/47.17 And (Eq (k1_funct_5 C) (k10_relset_1 A B (k6_relset_1 B A C) A)) (Eq (k2_funct_5 C) (k10_relset_1 B A C B)))
% 46.97/47.17 True
% 46.97/47.17 Clause #46 (by clausification #[0]): Eq
% 46.97/47.17 (∀ (A B C : Iota),
% 46.97/47.17 m2_relset_1 C B A →
% 46.97/47.17 And (Eq (k1_funct_5 C) (k10_relset_1 A B (k6_relset_1 B A C) A))
% 46.97/47.17 (Eq (k10_relset_1 A B (k6_relset_1 B A C) (k10_relset_1 B A C B))
% 46.97/47.17 (k10_relset_1 A B (k6_relset_1 B A C) (k2_funct_5 C))))
% 46.97/47.17 False
% 46.97/47.17 Clause #47 (by clausification #[46]): ∀ (a : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (Not
% 46.97/47.17 (∀ (B C : Iota),
% 46.97/47.17 m2_relset_1 C B (skS.0 0 a) →
% 46.97/47.17 And (Eq (k1_funct_5 C) (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (skS.0 0 a)))
% 46.97/47.17 (Eq (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (k10_relset_1 B (skS.0 0 a) C B))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (k2_funct_5 C)))))
% 46.97/47.17 True
% 46.97/47.17 Clause #48 (by clausification #[47]): ∀ (a : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (∀ (B C : Iota),
% 46.97/47.17 m2_relset_1 C B (skS.0 0 a) →
% 46.97/47.17 And (Eq (k1_funct_5 C) (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (skS.0 0 a)))
% 46.97/47.17 (Eq (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (k10_relset_1 B (skS.0 0 a) C B))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) B (k6_relset_1 B (skS.0 0 a) C) (k2_funct_5 C))))
% 46.97/47.17 False
% 46.97/47.17 Clause #49 (by clausification #[48]): ∀ (a a_1 : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (Not
% 46.97/47.17 (∀ (C : Iota),
% 46.97/47.17 m2_relset_1 C (skS.0 1 a a_1) (skS.0 0 a) →
% 46.97/47.17 And
% 46.97/47.17 (Eq (k1_funct_5 C)
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C) (skS.0 0 a)))
% 46.97/47.17 (Eq
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C)
% 46.97/47.17 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C (skS.0 1 a a_1)))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C) (k2_funct_5 C)))))
% 46.97/47.17 True
% 46.97/47.17 Clause #50 (by clausification #[49]): ∀ (a a_1 : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (∀ (C : Iota),
% 46.97/47.17 m2_relset_1 C (skS.0 1 a a_1) (skS.0 0 a) →
% 46.97/47.17 And
% 46.97/47.17 (Eq (k1_funct_5 C)
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C) (skS.0 0 a)))
% 46.97/47.17 (Eq
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C)
% 46.97/47.17 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C (skS.0 1 a a_1)))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) C) (k2_funct_5 C))))
% 46.97/47.17 False
% 46.97/47.17 Clause #51 (by clausification #[50]): ∀ (a a_1 a_2 : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (Not
% 46.97/47.17 (m2_relset_1 (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) (skS.0 0 a) →
% 46.97/47.17 And
% 46.97/47.17 (Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 46.97/47.17 (skS.0 0 a)))
% 46.97/47.17 (Eq
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 46.97/47.17 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 46.97/47.17 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 46.97/47.17 (k2_funct_5 (skS.0 2 a a_1 a_2))))))
% 46.97/47.17 True
% 46.97/47.17 Clause #52 (by clausification #[51]): ∀ (a a_1 a_2 : Iota),
% 46.97/47.17 Eq
% 46.97/47.17 (m2_relset_1 (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) (skS.0 0 a) →
% 47.01/47.19 And
% 47.01/47.19 (Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (skS.0 0 a)))
% 47.01/47.19 (Eq
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k2_funct_5 (skS.0 2 a a_1 a_2)))))
% 47.01/47.19 False
% 47.01/47.19 Clause #53 (by clausification #[52]): ∀ (a a_1 a_2 : Iota), Eq (m2_relset_1 (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) (skS.0 0 a)) True
% 47.01/47.19 Clause #54 (by clausification #[52]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.19 Eq
% 47.01/47.19 (And
% 47.01/47.19 (Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (skS.0 0 a)))
% 47.01/47.19 (Eq
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.19 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.19 (k2_funct_5 (skS.0 2 a a_1 a_2)))))
% 47.01/47.19 False
% 47.01/47.19 Clause #251 (by clausification #[32]): ∀ (a : Iota), Eq (∀ (B C : Iota), m1_relset_1 C a B → Eq (k6_relset_1 a B C) (k4_relat_1 C)) True
% 47.01/47.19 Clause #252 (by clausification #[251]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), m1_relset_1 C a a_1 → Eq (k6_relset_1 a a_1 C) (k4_relat_1 C)) True
% 47.01/47.19 Clause #253 (by clausification #[252]): ∀ (a a_1 a_2 : Iota), Eq (m1_relset_1 a a_1 a_2 → Eq (k6_relset_1 a_1 a_2 a) (k4_relat_1 a)) True
% 47.01/47.19 Clause #254 (by clausification #[253]): ∀ (a a_1 a_2 : Iota), Or (Eq (m1_relset_1 a a_1 a_2) False) (Eq (Eq (k6_relset_1 a_1 a_2 a) (k4_relat_1 a)) True)
% 47.01/47.19 Clause #255 (by clausification #[254]): ∀ (a a_1 a_2 : Iota), Or (Eq (m1_relset_1 a a_1 a_2) False) (Eq (k6_relset_1 a_1 a_2 a) (k4_relat_1 a))
% 47.01/47.19 Clause #270 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (B C : Iota), Iff (m2_relset_1 C a B) (m1_relset_1 C a B)) True
% 47.01/47.19 Clause #271 (by clausification #[270]): ∀ (a a_1 : Iota), Eq (∀ (C : Iota), Iff (m2_relset_1 C a a_1) (m1_relset_1 C a a_1)) True
% 47.01/47.19 Clause #272 (by clausification #[271]): ∀ (a a_1 a_2 : Iota), Eq (Iff (m2_relset_1 a a_1 a_2) (m1_relset_1 a a_1 a_2)) True
% 47.01/47.19 Clause #274 (by clausification #[272]): ∀ (a a_1 a_2 : Iota), Or (Eq (m2_relset_1 a a_1 a_2) False) (Eq (m1_relset_1 a a_1 a_2) True)
% 47.01/47.19 Clause #276 (by superposition #[274, 53]): ∀ (a a_1 a_2 : Iota), Or (Eq (m1_relset_1 (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) (skS.0 0 a)) True) (Eq False True)
% 47.01/47.19 Clause #302 (by clausification #[37]): ∀ (a : Iota),
% 47.01/47.19 Eq
% 47.01/47.19 (∀ (B C : Iota),
% 47.01/47.19 m2_relset_1 C B a →
% 47.01/47.19 And (Eq (k1_funct_5 C) (k10_relset_1 a B (k6_relset_1 B a C) a)) (Eq (k2_funct_5 C) (k10_relset_1 B a C B)))
% 47.01/47.19 True
% 47.01/47.19 Clause #303 (by clausification #[302]): ∀ (a a_1 : Iota),
% 47.01/47.19 Eq
% 47.01/47.19 (∀ (C : Iota),
% 47.01/47.19 m2_relset_1 C a a_1 →
% 47.01/47.19 And (Eq (k1_funct_5 C) (k10_relset_1 a_1 a (k6_relset_1 a a_1 C) a_1))
% 47.01/47.19 (Eq (k2_funct_5 C) (k10_relset_1 a a_1 C a)))
% 47.01/47.19 True
% 47.01/47.19 Clause #304 (by clausification #[303]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.19 Eq
% 47.01/47.19 (m2_relset_1 a a_1 a_2 →
% 47.01/47.19 And (Eq (k1_funct_5 a) (k10_relset_1 a_2 a_1 (k6_relset_1 a_1 a_2 a) a_2))
% 47.01/47.19 (Eq (k2_funct_5 a) (k10_relset_1 a_1 a_2 a a_1)))
% 47.01/47.19 True
% 47.01/47.19 Clause #305 (by clausification #[304]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.19 Or (Eq (m2_relset_1 a a_1 a_2) False)
% 47.01/47.19 (Eq
% 47.01/47.19 (And (Eq (k1_funct_5 a) (k10_relset_1 a_2 a_1 (k6_relset_1 a_1 a_2 a) a_2))
% 47.01/47.19 (Eq (k2_funct_5 a) (k10_relset_1 a_1 a_2 a a_1)))
% 47.01/47.19 True)
% 47.01/47.19 Clause #306 (by clausification #[305]): ∀ (a a_1 a_2 : Iota), Or (Eq (m2_relset_1 a a_1 a_2) False) (Eq (Eq (k2_funct_5 a) (k10_relset_1 a_1 a_2 a a_1)) True)
% 47.01/47.19 Clause #307 (by clausification #[305]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.19 Or (Eq (m2_relset_1 a a_1 a_2) False) (Eq (Eq (k1_funct_5 a) (k10_relset_1 a_2 a_1 (k6_relset_1 a_1 a_2 a) a_2)) True)
% 47.01/47.21 Clause #308 (by clausification #[306]): ∀ (a a_1 a_2 : Iota), Or (Eq (m2_relset_1 a a_1 a_2) False) (Eq (k2_funct_5 a) (k10_relset_1 a_1 a_2 a a_1))
% 47.01/47.21 Clause #309 (by superposition #[308, 53]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.21 Or
% 47.01/47.21 (Eq (k2_funct_5 (skS.0 2 a a_1 a_2)) (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.21 (Eq False True)
% 47.01/47.21 Clause #318 (by clausification #[54]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.21 Or
% 47.01/47.21 (Eq
% 47.01/47.21 (Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.21 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.21 (skS.0 0 a)))
% 47.01/47.21 False)
% 47.01/47.21 (Eq
% 47.01/47.21 (Eq
% 47.01/47.21 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.21 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.21 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k2_funct_5 (skS.0 2 a a_1 a_2))))
% 47.01/47.22 False)
% 47.01/47.22 Clause #319 (by clausification #[318]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Or
% 47.01/47.22 (Eq
% 47.01/47.22 (Eq
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k2_funct_5 (skS.0 2 a a_1 a_2))))
% 47.01/47.22 False)
% 47.01/47.22 (Ne (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (skS.0 0 a)))
% 47.01/47.22 Clause #320 (by clausification #[319]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Or
% 47.01/47.22 (Ne (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (skS.0 0 a)))
% 47.01/47.22 (Ne
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1)))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k2_funct_5 (skS.0 2 a a_1 a_2))))
% 47.01/47.22 Clause #486 (by clausification #[307]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Or (Eq (m2_relset_1 a a_1 a_2) False) (Eq (k1_funct_5 a) (k10_relset_1 a_2 a_1 (k6_relset_1 a_1 a_2 a) a_2))
% 47.01/47.22 Clause #487 (by superposition #[486, 53]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Or
% 47.01/47.22 (Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2))
% 47.01/47.22 (skS.0 0 a)))
% 47.01/47.22 (Eq False True)
% 47.01/47.22 Clause #519 (by clausification #[276]): ∀ (a a_1 a_2 : Iota), Eq (m1_relset_1 (skS.0 2 a a_1 a_2) (skS.0 1 a a_1) (skS.0 0 a)) True
% 47.01/47.22 Clause #522 (by superposition #[519, 255]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Or (Eq True False) (Eq (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2)) (k4_relat_1 (skS.0 2 a a_1 a_2)))
% 47.01/47.22 Clause #571 (by clausification #[309]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Eq (k2_funct_5 (skS.0 2 a a_1 a_2)) (k10_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2) (skS.0 1 a a_1))
% 47.01/47.22 Clause #573 (by backward positive simplify reflect #[571, 320]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Ne (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 0 a))
% 47.01/47.22 Clause #1063 (by clausification #[487]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2)) (skS.0 0 a))
% 47.01/47.22 Clause #1218 (by clausification #[522]): ∀ (a a_1 a_2 : Iota), Eq (k6_relset_1 (skS.0 1 a a_1) (skS.0 0 a) (skS.0 2 a a_1 a_2)) (k4_relat_1 (skS.0 2 a a_1 a_2))
% 47.01/47.22 Clause #1219 (by backward demodulation #[1218, 1063]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Eq (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k4_relat_1 (skS.0 2 a a_1 a_2)) (skS.0 0 a))
% 47.01/47.22 Clause #1374 (by forward demodulation #[573, 1218]): ∀ (a a_1 a_2 : Iota),
% 47.01/47.22 Ne (k1_funct_5 (skS.0 2 a a_1 a_2))
% 47.01/47.22 (k10_relset_1 (skS.0 0 a) (skS.0 1 a a_1) (k4_relat_1 (skS.0 2 a a_1 a_2)) (skS.0 0 a))
% 47.01/47.22 Clause #2668 (by forward contextual literal cutting #[1219, 1374]): False
% 47.01/47.22 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------