TSTP Solution File: KRS071+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n027.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 05:43:13 EDT 2023
% Result : Unsatisfiable 4.83s 5.12s
% Output : Proof 4.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS071+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.13/0.34 % Computer : n027.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 : Mon Aug 28 02:07:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 4.83/5.12 SZS status Theorem for theBenchmark.p
% 4.83/5.12 SZS output start Proof for theBenchmark.p
% 4.83/5.12 Clause #16 (by assumption #[]): Eq
% 4.83/5.12 (∀ (X : Iota),
% 4.83/5.12 Iff (cUnsatisfiable X)
% 4.83/5.12 (And
% 4.83/5.12 (And (And (Exists fun Y => And (rr X Y) (cp1 Y)) (Exists fun Y => And (rr X Y) (cp2 Y)))
% 4.83/5.12 (Exists fun Y => And (rr X Y) (cp3 Y)))
% 4.83/5.12 (∀ (Y0 Y1 Y2 : Iota), And (And (rr X Y0) (rr X Y1)) (rr X Y2) → Or (Or (Eq Y0 Y1) (Eq Y0 Y2)) (Eq Y1 Y2))))
% 4.83/5.12 True
% 4.83/5.12 Clause #17 (by assumption #[]): Eq (∀ (X : Iota), cp1 X → Not (Or (Or (Or (cp4 X) (cp2 X)) (cp3 X)) (cp5 X))) True
% 4.83/5.12 Clause #18 (by assumption #[]): Eq (∀ (X : Iota), cp2 X → Not (Or (Or (cp4 X) (cp3 X)) (cp5 X))) True
% 4.83/5.12 Clause #22 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_18_39380) True
% 4.83/5.12 Clause #128 (by clausification #[16]): ∀ (a : Iota),
% 4.83/5.12 Eq
% 4.83/5.12 (Iff (cUnsatisfiable a)
% 4.83/5.12 (And
% 4.83/5.12 (And (And (Exists fun Y => And (rr a Y) (cp1 Y)) (Exists fun Y => And (rr a Y) (cp2 Y)))
% 4.83/5.12 (Exists fun Y => And (rr a Y) (cp3 Y)))
% 4.83/5.12 (∀ (Y0 Y1 Y2 : Iota), And (And (rr a Y0) (rr a Y1)) (rr a Y2) → Or (Or (Eq Y0 Y1) (Eq Y0 Y2)) (Eq Y1 Y2))))
% 4.83/5.12 True
% 4.83/5.12 Clause #130 (by clausification #[128]): ∀ (a : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq
% 4.83/5.12 (And
% 4.83/5.12 (And (And (Exists fun Y => And (rr a Y) (cp1 Y)) (Exists fun Y => And (rr a Y) (cp2 Y)))
% 4.83/5.12 (Exists fun Y => And (rr a Y) (cp3 Y)))
% 4.83/5.12 (∀ (Y0 Y1 Y2 : Iota), And (And (rr a Y0) (rr a Y1)) (rr a Y2) → Or (Or (Eq Y0 Y1) (Eq Y0 Y2)) (Eq Y1 Y2)))
% 4.83/5.12 True)
% 4.83/5.12 Clause #154 (by clausification #[18]): ∀ (a : Iota), Eq (cp2 a → Not (Or (Or (cp4 a) (cp3 a)) (cp5 a))) True
% 4.83/5.12 Clause #155 (by clausification #[154]): ∀ (a : Iota), Or (Eq (cp2 a) False) (Eq (Not (Or (Or (cp4 a) (cp3 a)) (cp5 a))) True)
% 4.83/5.12 Clause #156 (by clausification #[155]): ∀ (a : Iota), Or (Eq (cp2 a) False) (Eq (Or (Or (cp4 a) (cp3 a)) (cp5 a)) False)
% 4.83/5.12 Clause #158 (by clausification #[156]): ∀ (a : Iota), Or (Eq (cp2 a) False) (Eq (Or (cp4 a) (cp3 a)) False)
% 4.83/5.12 Clause #159 (by clausification #[158]): ∀ (a : Iota), Or (Eq (cp2 a) False) (Eq (cp3 a) False)
% 4.83/5.12 Clause #161 (by clausification #[17]): ∀ (a : Iota), Eq (cp1 a → Not (Or (Or (Or (cp4 a) (cp2 a)) (cp3 a)) (cp5 a))) True
% 4.83/5.12 Clause #162 (by clausification #[161]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (Not (Or (Or (Or (cp4 a) (cp2 a)) (cp3 a)) (cp5 a))) True)
% 4.83/5.12 Clause #163 (by clausification #[162]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (Or (Or (Or (cp4 a) (cp2 a)) (cp3 a)) (cp5 a)) False)
% 4.83/5.12 Clause #165 (by clausification #[163]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (Or (Or (cp4 a) (cp2 a)) (cp3 a)) False)
% 4.83/5.12 Clause #166 (by clausification #[165]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (cp3 a) False)
% 4.83/5.12 Clause #167 (by clausification #[165]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (Or (cp4 a) (cp2 a)) False)
% 4.83/5.12 Clause #168 (by clausification #[167]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (cp2 a) False)
% 4.83/5.12 Clause #172 (by clausification #[130]): ∀ (a : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq (∀ (Y0 Y1 Y2 : Iota), And (And (rr a Y0) (rr a Y1)) (rr a Y2) → Or (Or (Eq Y0 Y1) (Eq Y0 Y2)) (Eq Y1 Y2)) True)
% 4.83/5.12 Clause #173 (by clausification #[130]): ∀ (a : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq
% 4.83/5.12 (And (And (Exists fun Y => And (rr a Y) (cp1 Y)) (Exists fun Y => And (rr a Y) (cp2 Y)))
% 4.83/5.12 (Exists fun Y => And (rr a Y) (cp3 Y)))
% 4.83/5.12 True)
% 4.83/5.12 Clause #174 (by clausification #[172]): ∀ (a a_1 : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq (∀ (Y1 Y2 : Iota), And (And (rr a a_1) (rr a Y1)) (rr a Y2) → Or (Or (Eq a_1 Y1) (Eq a_1 Y2)) (Eq Y1 Y2)) True)
% 4.83/5.12 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq (∀ (Y2 : Iota), And (And (rr a a_1) (rr a a_2)) (rr a Y2) → Or (Or (Eq a_1 a_2) (Eq a_1 Y2)) (Eq a_2 Y2)) True)
% 4.83/5.12 Clause #176 (by clausification #[175]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.12 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.12 (Eq (And (And (rr a a_1) (rr a a_2)) (rr a a_3) → Or (Or (Eq a_1 a_2) (Eq a_1 a_3)) (Eq a_2 a_3)) True)
% 4.83/5.12 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (And (And (rr a a_1) (rr a a_2)) (rr a a_3)) False)
% 4.83/5.14 (Eq (Or (Or (Eq a_1 a_2) (Eq a_1 a_3)) (Eq a_2 a_3)) True))
% 4.83/5.14 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (Or (Or (Eq a_1 a_2) (Eq a_1 a_3)) (Eq a_2 a_3)) True)
% 4.83/5.14 (Or (Eq (And (rr a a_1) (rr a a_2)) False) (Eq (rr a a_3) False)))
% 4.83/5.14 Clause #179 (by clausification #[178]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (And (rr a a_1) (rr a a_2)) False)
% 4.83/5.14 (Or (Eq (rr a a_3) False) (Or (Eq (Or (Eq a_1 a_2) (Eq a_1 a_3)) True) (Eq (Eq a_2 a_3) True))))
% 4.83/5.14 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (rr a a_1) False)
% 4.83/5.14 (Or (Eq (Or (Eq a_2 a_3) (Eq a_2 a_1)) True)
% 4.83/5.14 (Or (Eq (Eq a_3 a_1) True) (Or (Eq (rr a a_2) False) (Eq (rr a a_3) False)))))
% 4.83/5.14 Clause #181 (by clausification #[180]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (rr a a_1) False)
% 4.83/5.14 (Or (Eq (Eq a_2 a_1) True)
% 4.83/5.14 (Or (Eq (rr a a_3) False) (Or (Eq (rr a a_2) False) (Or (Eq (Eq a_3 a_2) True) (Eq (Eq a_3 a_1) True))))))
% 4.83/5.14 Clause #182 (by clausification #[181]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (rr a a_1) False)
% 4.83/5.14 (Or (Eq (rr a a_2) False)
% 4.83/5.14 (Or (Eq (rr a a_3) False) (Or (Eq (Eq a_2 a_3) True) (Or (Eq (Eq a_2 a_1) True) (Eq a_3 a_1))))))
% 4.83/5.14 Clause #183 (by clausification #[182]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (rr a a_1) False)
% 4.83/5.14 (Or (Eq (rr a a_2) False) (Or (Eq (rr a a_3) False) (Or (Eq (Eq a_2 a_1) True) (Or (Eq a_3 a_1) (Eq a_2 a_3))))))
% 4.83/5.14 Clause #184 (by clausification #[183]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Or (Eq (rr a a_1) False)
% 4.83/5.14 (Or (Eq (rr a a_2) False) (Or (Eq (rr a a_3) False) (Or (Eq a_3 a_1) (Or (Eq a_2 a_3) (Eq a_2 a_1))))))
% 4.83/5.14 Clause #185 (by superposition #[184, 22]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.14 Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.14 (Or (Eq (rr i2003_11_14_17_18_39380 a_1) False)
% 4.83/5.14 (Or (Eq (rr i2003_11_14_17_18_39380 a_2) False)
% 4.83/5.14 (Or (Eq a_2 a) (Or (Eq a_1 a_2) (Or (Eq a_1 a) (Eq False True))))))
% 4.83/5.14 Clause #186 (by clausification #[185]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.14 Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.14 (Or (Eq (rr i2003_11_14_17_18_39380 a_1) False)
% 4.83/5.14 (Or (Eq (rr i2003_11_14_17_18_39380 a_2) False) (Or (Eq a_2 a) (Or (Eq a_1 a_2) (Eq a_1 a)))))
% 4.83/5.14 Clause #187 (by clausification #[173]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cp3 Y)) True)
% 4.83/5.14 Clause #188 (by clausification #[173]): ∀ (a : Iota),
% 4.83/5.14 Or (Eq (cUnsatisfiable a) False)
% 4.83/5.14 (Eq (And (Exists fun Y => And (rr a Y) (cp1 Y)) (Exists fun Y => And (rr a Y) (cp2 Y))) True)
% 4.83/5.14 Clause #189 (by clausification #[187]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 3 a a_1)) (cp3 (skS.0 3 a a_1))) True)
% 4.83/5.14 Clause #190 (by clausification #[189]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp3 (skS.0 3 a a_1)) True)
% 4.83/5.14 Clause #191 (by clausification #[189]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 3 a a_1)) True)
% 4.83/5.14 Clause #192 (by superposition #[190, 22]): ∀ (a : Iota), Or (Eq (cp3 (skS.0 3 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.14 Clause #193 (by clausification #[192]): ∀ (a : Iota), Eq (cp3 (skS.0 3 i2003_11_14_17_18_39380 a)) True
% 4.83/5.14 Clause #201 (by superposition #[191, 22]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_39380 (skS.0 3 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.14 Clause #202 (by clausification #[201]): ∀ (a : Iota), Eq (rr i2003_11_14_17_18_39380 (skS.0 3 i2003_11_14_17_18_39380 a)) True
% 4.83/5.14 Clause #211 (by clausification #[188]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cp2 Y)) True)
% 4.83/5.14 Clause #212 (by clausification #[188]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cp1 Y)) True)
% 4.83/5.14 Clause #213 (by clausification #[211]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 4 a a_1)) (cp2 (skS.0 4 a a_1))) True)
% 4.83/5.17 Clause #214 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp2 (skS.0 4 a a_1)) True)
% 4.83/5.17 Clause #215 (by clausification #[213]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 4 a a_1)) True)
% 4.83/5.17 Clause #216 (by superposition #[214, 22]): ∀ (a : Iota), Or (Eq (cp2 (skS.0 4 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.17 Clause #221 (by clausification #[216]): ∀ (a : Iota), Eq (cp2 (skS.0 4 i2003_11_14_17_18_39380 a)) True
% 4.83/5.17 Clause #228 (by clausification #[212]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 5 a a_1)) (cp1 (skS.0 5 a a_1))) True)
% 4.83/5.17 Clause #229 (by clausification #[228]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 (skS.0 5 a a_1)) True)
% 4.83/5.17 Clause #230 (by clausification #[228]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 5 a a_1)) True)
% 4.83/5.17 Clause #231 (by superposition #[229, 22]): ∀ (a : Iota), Or (Eq (cp1 (skS.0 5 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.17 Clause #234 (by clausification #[231]): ∀ (a : Iota), Eq (cp1 (skS.0 5 i2003_11_14_17_18_39380 a)) True
% 4.83/5.17 Clause #236 (by superposition #[234, 166]): ∀ (a : Iota), Or (Eq True False) (Eq (cp3 (skS.0 5 i2003_11_14_17_18_39380 a)) False)
% 4.83/5.17 Clause #237 (by superposition #[234, 168]): ∀ (a : Iota), Or (Eq True False) (Eq (cp2 (skS.0 5 i2003_11_14_17_18_39380 a)) False)
% 4.83/5.17 Clause #240 (by clausification #[237]): ∀ (a : Iota), Eq (cp2 (skS.0 5 i2003_11_14_17_18_39380 a)) False
% 4.83/5.17 Clause #241 (by clausification #[236]): ∀ (a : Iota), Eq (cp3 (skS.0 5 i2003_11_14_17_18_39380 a)) False
% 4.83/5.17 Clause #245 (by superposition #[230, 22]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_39380 (skS.0 5 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.17 Clause #246 (by clausification #[245]): ∀ (a : Iota), Eq (rr i2003_11_14_17_18_39380 (skS.0 5 i2003_11_14_17_18_39380 a)) True
% 4.83/5.17 Clause #257 (by superposition #[215, 22]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_18_39380 (skS.0 4 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.83/5.17 Clause #260 (by clausification #[257]): ∀ (a : Iota), Eq (rr i2003_11_14_17_18_39380 (skS.0 4 i2003_11_14_17_18_39380 a)) True
% 4.83/5.17 Clause #261 (by superposition #[260, 186]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq True False)
% 4.83/5.17 (Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.17 (Or (Eq (rr i2003_11_14_17_18_39380 a_1) False)
% 4.83/5.17 (Or (Eq a_1 (skS.0 4 i2003_11_14_17_18_39380 a_2))
% 4.83/5.17 (Or (Eq a a_1) (Eq a (skS.0 4 i2003_11_14_17_18_39380 a_2))))))
% 4.83/5.17 Clause #275 (by clausification #[261]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.17 (Or (Eq (rr i2003_11_14_17_18_39380 a_1) False)
% 4.83/5.17 (Or (Eq a_1 (skS.0 4 i2003_11_14_17_18_39380 a_2)) (Or (Eq a a_1) (Eq a (skS.0 4 i2003_11_14_17_18_39380 a_2)))))
% 4.83/5.17 Clause #276 (by superposition #[275, 202]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.17 (Or (Eq a (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) a)
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 4 i2003_11_14_17_18_39380 a_1)) (Eq False True))))
% 4.83/5.17 Clause #283 (by clausification #[276]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq (rr i2003_11_14_17_18_39380 a) False)
% 4.83/5.17 (Or (Eq a (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) a)
% 4.83/5.17 (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 4 i2003_11_14_17_18_39380 a_1))))
% 4.83/5.17 Clause #285 (by superposition #[283, 246]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 5 i2003_11_14_17_18_39380 a))
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 4 i2003_11_14_17_18_39380 a_1)) (Eq False True)))
% 4.83/5.17 Clause #340 (by clausification #[285]): ∀ (a a_1 a_2 : Iota),
% 4.83/5.17 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.83/5.17 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 5 i2003_11_14_17_18_39380 a))
% 4.98/5.18 (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 4 i2003_11_14_17_18_39380 a_1)))
% 4.98/5.18 Clause #376 (by superposition #[340, 221]): ∀ (a a_1 a_2 : Iota),
% 4.98/5.18 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.98/5.18 (Or (Eq (skS.0 3 i2003_11_14_17_18_39380 a_2) (skS.0 5 i2003_11_14_17_18_39380 a))
% 4.98/5.18 (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a_2)) True))
% 4.98/5.18 Clause #416 (by superposition #[376, 241]): ∀ (a a_1 a_2 : Iota),
% 4.98/5.18 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.98/5.18 (Or (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a_2)) True) (Eq (cp3 (skS.0 3 i2003_11_14_17_18_39380 a_2)) False))
% 4.98/5.18 Clause #432 (by forward demodulation #[416, 193]): ∀ (a a_1 a_2 : Iota),
% 4.98/5.18 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.98/5.18 (Or (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a_2)) True) (Eq True False))
% 4.98/5.18 Clause #433 (by clausification #[432]): ∀ (a a_1 a_2 : Iota),
% 4.98/5.18 Or (Eq (skS.0 5 i2003_11_14_17_18_39380 a) (skS.0 4 i2003_11_14_17_18_39380 a_1))
% 4.98/5.18 (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a_2)) True)
% 4.98/5.18 Clause #436 (by superposition #[433, 240]): ∀ (a a_1 : Iota),
% 4.98/5.18 Or (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a)) True) (Eq (cp2 (skS.0 4 i2003_11_14_17_18_39380 a_1)) False)
% 4.98/5.18 Clause #456 (by superposition #[436, 221]): ∀ (a : Iota), Or (Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a)) True) (Eq False True)
% 4.98/5.18 Clause #525 (by clausification #[456]): ∀ (a : Iota), Eq (cp2 (skS.0 3 i2003_11_14_17_18_39380 a)) True
% 4.98/5.18 Clause #526 (by superposition #[525, 159]): ∀ (a : Iota), Or (Eq True False) (Eq (cp3 (skS.0 3 i2003_11_14_17_18_39380 a)) False)
% 4.98/5.18 Clause #533 (by clausification #[526]): ∀ (a : Iota), Eq (cp3 (skS.0 3 i2003_11_14_17_18_39380 a)) False
% 4.98/5.18 Clause #534 (by superposition #[533, 193]): Eq False True
% 4.98/5.18 Clause #541 (by clausification #[534]): False
% 4.98/5.18 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------