TSTP Solution File: KRS098+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n026.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 05:43:19 EDT 2023
% Result : Unsatisfiable 9.37s 9.71s
% Output : Proof 9.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS098+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.35 % Computer : n026.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 : Mon Aug 28 02:44:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 9.37/9.71 SZS status Theorem for theBenchmark.p
% 9.37/9.71 SZS output start Proof for theBenchmark.p
% 9.37/9.71 Clause #27 (by assumption #[]): Eq
% 9.37/9.71 (∀ (X : Iota),
% 9.37/9.71 Iff (cUnsatisfiable X)
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr3 X Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 9.37/9.71 (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr2 X Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 9.37/9.71 (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr X Y0) (rr X Y1)) (Ne Y0 Y1))))
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr1 X Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Z => And (rt1 Y Z) (cc Z)))))
% 9.37/9.71 True
% 9.37/9.71 Clause #29 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_25524) True
% 9.37/9.71 Clause #30 (by assumption #[]): Eq (∀ (X : Iota), Not (And (cc X) (cd X))) True
% 9.37/9.71 Clause #33 (by assumption #[]): Eq (∀ (X Y : Iota), rr1 X Y → rr X Y) True
% 9.37/9.71 Clause #34 (by assumption #[]): Eq (∀ (X Y : Iota), rr2 X Y → rr X Y) True
% 9.37/9.71 Clause #35 (by assumption #[]): Eq (∀ (X Y : Iota), rt1 X Y → rtt X Y) True
% 9.37/9.71 Clause #36 (by assumption #[]): Eq (∀ (X Y : Iota), rt2 X Y → rtt X Y) True
% 9.37/9.71 Clause #103 (by clausification #[36]): ∀ (a : Iota), Eq (∀ (Y : Iota), rt2 a Y → rtt a Y) True
% 9.37/9.71 Clause #104 (by clausification #[103]): ∀ (a a_1 : Iota), Eq (rt2 a a_1 → rtt a a_1) True
% 9.37/9.71 Clause #105 (by clausification #[104]): ∀ (a a_1 : Iota), Or (Eq (rt2 a a_1) False) (Eq (rtt a a_1) True)
% 9.37/9.71 Clause #106 (by clausification #[35]): ∀ (a : Iota), Eq (∀ (Y : Iota), rt1 a Y → rtt a Y) True
% 9.37/9.71 Clause #107 (by clausification #[106]): ∀ (a a_1 : Iota), Eq (rt1 a a_1 → rtt a a_1) True
% 9.37/9.71 Clause #108 (by clausification #[107]): ∀ (a a_1 : Iota), Or (Eq (rt1 a a_1) False) (Eq (rtt a a_1) True)
% 9.37/9.71 Clause #109 (by clausification #[34]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr2 a Y → rr a Y) True
% 9.37/9.71 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), Eq (rr2 a a_1 → rr a a_1) True
% 9.37/9.71 Clause #111 (by clausification #[110]): ∀ (a a_1 : Iota), Or (Eq (rr2 a a_1) False) (Eq (rr a a_1) True)
% 9.37/9.71 Clause #112 (by clausification #[33]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr1 a Y → rr a Y) True
% 9.37/9.71 Clause #113 (by clausification #[112]): ∀ (a a_1 : Iota), Eq (rr1 a a_1 → rr a a_1) True
% 9.37/9.71 Clause #114 (by clausification #[113]): ∀ (a a_1 : Iota), Or (Eq (rr1 a a_1) False) (Eq (rr a a_1) True)
% 9.37/9.71 Clause #204 (by clausification #[30]): ∀ (a : Iota), Eq (Not (And (cc a) (cd a))) True
% 9.37/9.71 Clause #205 (by clausification #[204]): ∀ (a : Iota), Eq (And (cc a) (cd a)) False
% 9.37/9.71 Clause #206 (by clausification #[205]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False)
% 9.37/9.71 Clause #238 (by clausification #[27]): ∀ (a : Iota),
% 9.37/9.71 Eq
% 9.37/9.71 (Iff (cUnsatisfiable a)
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 9.37/9.71 (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 9.37/9.71 (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Z => And (rt1 Y Z) (cc Z)))))
% 9.37/9.71 True
% 9.37/9.71 Clause #240 (by clausification #[238]): ∀ (a : Iota),
% 9.37/9.71 Or (Eq (cUnsatisfiable a) False)
% 9.37/9.71 (Eq
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (And
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 9.37/9.71 (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Y =>
% 9.37/9.71 And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.37/9.71 (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 9.37/9.71 (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 9.53/9.76 (Exists fun Y =>
% 9.53/9.76 And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.76 (Exists fun Z => And (rt1 Y Z) (cc Z))))
% 9.53/9.76 True)
% 9.53/9.76 Clause #290 (by clausification #[240]): ∀ (a : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq
% 9.53/9.76 (Exists fun Y =>
% 9.53/9.76 And (And (rr1 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.76 (Exists fun Z => And (rt1 Y Z) (cc Z)))
% 9.53/9.76 True)
% 9.53/9.76 Clause #291 (by clausification #[240]): ∀ (a : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq
% 9.53/9.76 (And
% 9.53/9.76 (And
% 9.53/9.76 (Exists fun Y =>
% 9.53/9.76 And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 9.53/9.76 (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.76 (Exists fun Y =>
% 9.53/9.76 And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.76 (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 9.53/9.76 (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))))
% 9.53/9.76 True)
% 9.53/9.76 Clause #292 (by clausification #[290]): ∀ (a a_1 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq
% 9.53/9.76 (And
% 9.53/9.76 (And (rr1 a (skS.0 8 a a_1))
% 9.53/9.76 (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1))
% 9.53/9.76 (Exists fun Z => And (rt1 (skS.0 8 a a_1) Z) (cc Z)))
% 9.53/9.76 True)
% 9.53/9.76 Clause #293 (by clausification #[292]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Z => And (rt1 (skS.0 8 a a_1) Z) (cc Z)) True)
% 9.53/9.76 Clause #294 (by clausification #[292]): ∀ (a a_1 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq
% 9.53/9.76 (And (rr1 a (skS.0 8 a a_1)) (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1))
% 9.53/9.76 True)
% 9.53/9.76 Clause #295 (by clausification #[293]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False) (Eq (And (rt1 (skS.0 8 a a_1) (skS.0 9 a a_1 a_2)) (cc (skS.0 9 a a_1 a_2))) True)
% 9.53/9.76 Clause #296 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc (skS.0 9 a a_1 a_2)) True)
% 9.53/9.76 Clause #297 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rt1 (skS.0 8 a a_1) (skS.0 9 a a_1 a_2)) True)
% 9.53/9.76 Clause #298 (by superposition #[296, 29]): ∀ (a a_1 : Iota), Or (Eq (cc (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 9.53/9.76 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), Eq (cc (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 9.53/9.76 Clause #300 (by superposition #[299, 206]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) False)
% 9.53/9.76 Clause #331 (by clausification #[300]): ∀ (a a_1 : Iota), Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) False
% 9.53/9.76 Clause #332 (by clausification #[294]): ∀ (a a_1 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq (∀ (Z0 Z1 : Iota), And (rtt (skS.0 8 a a_1) Z0) (rtt (skS.0 8 a a_1) Z1) → Eq Z0 Z1) True)
% 9.53/9.76 Clause #333 (by clausification #[294]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr1 a (skS.0 8 a a_1)) True)
% 9.53/9.76 Clause #334 (by clausification #[332]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Eq (∀ (Z1 : Iota), And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) Z1) → Eq a_2 Z1) True)
% 9.53/9.76 Clause #335 (by clausification #[334]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False) (Eq (And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) a_3) → Eq a_2 a_3) True)
% 9.53/9.76 Clause #336 (by clausification #[335]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Or (Eq (And (rtt (skS.0 8 a a_1) a_2) (rtt (skS.0 8 a a_1) a_3)) False) (Eq (Eq a_2 a_3) True))
% 9.53/9.76 Clause #337 (by clausification #[336]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rtt (skS.0 8 a a_3) a_1) False) (Eq (rtt (skS.0 8 a a_3) a_2) False)))
% 9.53/9.76 Clause #338 (by clausification #[337]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.53/9.76 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.76 (Or (Eq (rtt (skS.0 8 a a_1) a_2) False) (Or (Eq (rtt (skS.0 8 a a_1) a_3) False) (Eq a_2 a_3)))
% 9.53/9.81 Clause #339 (by superposition #[338, 29]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 9.53/9.81 (Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_2) False) (Or (Eq a_1 a_2) (Eq False True)))
% 9.53/9.81 Clause #340 (by superposition #[333, 29]): ∀ (a : Iota), Or (Eq (rr1 i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True) (Eq False True)
% 9.53/9.81 Clause #341 (by clausification #[340]): ∀ (a : Iota), Eq (rr1 i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True
% 9.53/9.81 Clause #342 (by superposition #[341, 114]): ∀ (a : Iota), Or (Eq True False) (Eq (rr i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True)
% 9.53/9.81 Clause #346 (by clausification #[342]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_25524 (skS.0 8 i2003_11_14_17_20_25524 a)) True
% 9.53/9.81 Clause #358 (by superposition #[297, 29]): ∀ (a a_1 : Iota),
% 9.53/9.81 Or (Eq (rt1 (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 9.53/9.81 Clause #359 (by clausification #[358]): ∀ (a a_1 : Iota), Eq (rt1 (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 9.53/9.81 Clause #360 (by superposition #[359, 108]): ∀ (a a_1 : Iota),
% 9.53/9.81 Or (Eq True False) (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True)
% 9.53/9.81 Clause #361 (by clausification #[360]): ∀ (a a_1 : Iota), Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 9.53/9.81 Clause #362 (by clausification #[339]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 9.53/9.81 (Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_2) False) (Eq a_1 a_2))
% 9.53/9.81 Clause #363 (by superposition #[362, 361]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False)
% 9.53/9.81 (Or (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_2) a_1) (Eq False True))
% 9.53/9.81 Clause #364 (by clausification #[363]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_2) a_1)
% 9.53/9.81 Clause #377 (by clausification #[291]): ∀ (a : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.81 (Eq (Not (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1))) True)
% 9.53/9.81 Clause #378 (by clausification #[291]): ∀ (a : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.81 (Eq
% 9.53/9.81 (And
% 9.53/9.81 (Exists fun Y =>
% 9.53/9.81 And (And (rr3 a Y) (Exists fun Z => And (rt3 Y Z) (ce Z)))
% 9.53/9.81 (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.81 (Exists fun Y =>
% 9.53/9.81 And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.53/9.81 (Exists fun Z => And (rt2 Y Z) (cd Z))))
% 9.53/9.81 True)
% 9.53/9.81 Clause #379 (by clausification #[377]): ∀ (a : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False)
% 9.53/9.81 (Eq (Exists fun Y0 => Exists fun Y1 => And (And (rr a Y0) (rr a Y1)) (Ne Y0 Y1)) False)
% 9.53/9.81 Clause #380 (by clausification #[379]): ∀ (a a_1 : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y1 => And (And (rr a a_1) (rr a Y1)) (Ne a_1 Y1)) False)
% 9.53/9.81 Clause #381 (by clausification #[380]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (And (rr a a_1) (rr a a_2)) (Ne a_1 a_2)) False)
% 9.53/9.81 Clause #382 (by clausification #[381]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (rr a a_1) (rr a a_2)) False) (Eq (Ne a_1 a_2) False))
% 9.53/9.81 Clause #383 (by clausification #[382]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False) (Or (Eq (Ne a_1 a_2) False) (Or (Eq (rr a a_1) False) (Eq (rr a a_2) False)))
% 9.53/9.81 Clause #384 (by clausification #[383]): ∀ (a a_1 a_2 : Iota),
% 9.53/9.81 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Or (Eq (rr a a_2) False) (Eq a_1 a_2)))
% 9.53/9.81 Clause #385 (by superposition #[384, 29]): ∀ (a a_1 : Iota),
% 9.53/9.81 Or (Eq (rr i2003_11_14_17_20_25524 a) False)
% 9.53/9.81 (Or (Eq (rr i2003_11_14_17_20_25524 a_1) False) (Or (Eq a a_1) (Eq False True)))
% 9.53/9.81 Clause #386 (by clausification #[385]): ∀ (a a_1 : Iota),
% 9.53/9.81 Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Or (Eq (rr i2003_11_14_17_20_25524 a_1) False) (Eq a a_1))
% 9.53/9.81 Clause #387 (by superposition #[386, 346]): ∀ (a a_1 : Iota),
% 9.64/9.85 Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Or (Eq (skS.0 8 i2003_11_14_17_20_25524 a_1) a) (Eq False True))
% 9.64/9.85 Clause #388 (by clausification #[387]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 8 i2003_11_14_17_20_25524 a_1) a)
% 9.64/9.85 Clause #389 (by superposition #[388, 346]): ∀ (a a_1 : Iota), Or (Eq (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)) (Eq False True)
% 9.64/9.85 Clause #397 (by clausification #[389]): ∀ (a a_1 : Iota), Eq (skS.0 8 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)
% 9.64/9.85 Clause #400 (by superposition #[397, 364]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.64/9.85 Or (Eq (rtt (skS.0 8 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a_2 a_3) a_1)
% 9.64/9.85 Clause #411 (by clausification #[378]): ∀ (a : Iota),
% 9.64/9.85 Or (Eq (cUnsatisfiable a) False)
% 9.64/9.85 (Eq
% 9.64/9.85 (Exists fun Y =>
% 9.64/9.85 And (And (rr2 a Y) (∀ (Z0 Z1 : Iota), And (rtt Y Z0) (rtt Y Z1) → Eq Z0 Z1))
% 9.64/9.85 (Exists fun Z => And (rt2 Y Z) (cd Z)))
% 9.64/9.85 True)
% 9.64/9.85 Clause #413 (by clausification #[411]): ∀ (a a_1 : Iota),
% 9.64/9.85 Or (Eq (cUnsatisfiable a) False)
% 9.64/9.85 (Eq
% 9.64/9.85 (And
% 9.64/9.85 (And (rr2 a (skS.0 14 a a_1))
% 9.64/9.85 (∀ (Z0 Z1 : Iota), And (rtt (skS.0 14 a a_1) Z0) (rtt (skS.0 14 a a_1) Z1) → Eq Z0 Z1))
% 9.64/9.85 (Exists fun Z => And (rt2 (skS.0 14 a a_1) Z) (cd Z)))
% 9.64/9.85 True)
% 9.64/9.85 Clause #414 (by clausification #[413]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Z => And (rt2 (skS.0 14 a a_1) Z) (cd Z)) True)
% 9.64/9.85 Clause #415 (by clausification #[413]): ∀ (a a_1 : Iota),
% 9.64/9.85 Or (Eq (cUnsatisfiable a) False)
% 9.64/9.85 (Eq
% 9.64/9.85 (And (rr2 a (skS.0 14 a a_1))
% 9.64/9.85 (∀ (Z0 Z1 : Iota), And (rtt (skS.0 14 a a_1) Z0) (rtt (skS.0 14 a a_1) Z1) → Eq Z0 Z1))
% 9.64/9.85 True)
% 9.64/9.85 Clause #416 (by clausification #[414]): ∀ (a a_1 a_2 : Iota),
% 9.64/9.85 Or (Eq (cUnsatisfiable a) False) (Eq (And (rt2 (skS.0 14 a a_1) (skS.0 15 a a_1 a_2)) (cd (skS.0 15 a a_1 a_2))) True)
% 9.64/9.85 Clause #417 (by clausification #[416]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd (skS.0 15 a a_1 a_2)) True)
% 9.64/9.85 Clause #418 (by clausification #[416]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rt2 (skS.0 14 a a_1) (skS.0 15 a a_1 a_2)) True)
% 9.64/9.85 Clause #419 (by superposition #[417, 29]): ∀ (a a_1 : Iota), Or (Eq (cd (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 9.64/9.85 Clause #420 (by clausification #[419]): ∀ (a a_1 : Iota), Eq (cd (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 9.64/9.85 Clause #427 (by clausification #[415]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr2 a (skS.0 14 a a_1)) True)
% 9.64/9.85 Clause #434 (by superposition #[427, 29]): ∀ (a : Iota), Or (Eq (rr2 i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True) (Eq False True)
% 9.64/9.85 Clause #435 (by clausification #[434]): ∀ (a : Iota), Eq (rr2 i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True
% 9.64/9.85 Clause #436 (by superposition #[435, 111]): ∀ (a : Iota), Or (Eq True False) (Eq (rr i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True)
% 9.64/9.85 Clause #437 (by clausification #[436]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_25524 (skS.0 14 i2003_11_14_17_20_25524 a)) True
% 9.64/9.85 Clause #438 (by superposition #[437, 386]): ∀ (a a_1 : Iota),
% 9.64/9.85 Or (Eq True False) (Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 14 i2003_11_14_17_20_25524 a_1) a))
% 9.64/9.85 Clause #461 (by clausification #[438]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_25524 a) False) (Eq (skS.0 14 i2003_11_14_17_20_25524 a_1) a)
% 9.64/9.85 Clause #462 (by superposition #[461, 346]): ∀ (a a_1 : Iota), Or (Eq (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)) (Eq False True)
% 9.64/9.85 Clause #464 (by clausification #[462]): ∀ (a a_1 : Iota), Eq (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 8 i2003_11_14_17_20_25524 a_1)
% 9.64/9.85 Clause #471 (by superposition #[464, 400]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.64/9.85 Or (Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) a_1) False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a_2 a_3) a_1)
% 9.64/9.85 Clause #505 (by superposition #[418, 29]): ∀ (a a_1 : Iota),
% 9.64/9.85 Or (Eq (rt2 (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True) (Eq False True)
% 9.64/9.86 Clause #506 (by clausification #[505]): ∀ (a a_1 : Iota), Eq (rt2 (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 9.64/9.86 Clause #507 (by superposition #[506, 105]): ∀ (a a_1 : Iota),
% 9.64/9.86 Or (Eq True False) (Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True)
% 9.64/9.86 Clause #518 (by clausification #[507]): ∀ (a a_1 : Iota), Eq (rtt (skS.0 14 i2003_11_14_17_20_25524 a) (skS.0 15 i2003_11_14_17_20_25524 a a_1)) True
% 9.64/9.86 Clause #519 (by superposition #[518, 471]): ∀ (a a_1 a_2 a_3 : Iota),
% 9.64/9.86 Or (Eq True False) (Eq (skS.0 9 i2003_11_14_17_20_25524 a a_1) (skS.0 15 i2003_11_14_17_20_25524 a_2 a_3))
% 9.64/9.86 Clause #521 (by clausification #[519]): ∀ (a a_1 a_2 a_3 : Iota), Eq (skS.0 9 i2003_11_14_17_20_25524 a a_1) (skS.0 15 i2003_11_14_17_20_25524 a_2 a_3)
% 9.64/9.86 Clause #529 (by superposition #[521, 420]): ∀ (a a_1 : Iota), Eq (cd (skS.0 9 i2003_11_14_17_20_25524 a a_1)) True
% 9.64/9.86 Clause #531 (by superposition #[529, 331]): Eq True False
% 9.64/9.86 Clause #532 (by clausification #[531]): False
% 9.64/9.86 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------