TSTP Solution File: KRS117+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n031.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 05:43:23 EDT 2023
% Result : Unsatisfiable 5.24s 5.49s
% Output : Proof 5.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS117+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.15 % Command : duper %s
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 01:31:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 5.24/5.49 SZS status Theorem for theBenchmark.p
% 5.24/5.49 SZS output start Proof for theBenchmark.p
% 5.24/5.49 Clause #19 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 5.24/5.49 Clause #21 (by assumption #[]): Eq
% 5.24/5.49 (∀ (X : Iota),
% 5.24/5.49 Iff (cUnsatisfiable X)
% 5.24/5.49 (And (And (ccxcomp X) (∀ (Y : Iota), rinvR X Y → ca_Vx3 Y)) (Exists fun Y => And (rinvF X Y) (cd Y))))
% 5.24/5.49 True
% 5.24/5.49 Clause #22 (by assumption #[]): Eq (∀ (X : Iota), Iff (cc X) (Not (Exists fun Y => ra_Px1 X Y))) True
% 5.24/5.49 Clause #23 (by assumption #[]): Eq (∀ (X : Iota), Iff (ccxcomp X) (Exists fun Y0 => ra_Px1 X Y0)) True
% 5.24/5.49 Clause #24 (by assumption #[]): Eq (∀ (X : Iota), Iff (cd X) (And (Exists fun Y => And (rf X Y) (ccxcomp Y)) (cc X))) True
% 5.24/5.49 Clause #25 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Vx3 X) (Exists fun Y => And (rinvF X Y) (cd Y))) True
% 5.24/5.49 Clause #26 (by assumption #[]): Eq (∀ (X : Iota), cowlThing X → ∀ (Y0 Y1 : Iota), And (rf X Y0) (rf X Y1) → Eq Y0 Y1) True
% 5.24/5.49 Clause #27 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvF X Y) (rf Y X)) True
% 5.24/5.49 Clause #28 (by assumption #[]): Eq (∀ (X Y : Iota), Iff (rinvR X Y) (rr Y X)) True
% 5.24/5.49 Clause #30 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_21_37349) True
% 5.24/5.49 Clause #31 (by assumption #[]): Eq (∀ (X Y : Iota), rf X Y → rr X Y) True
% 5.24/5.49 Clause #86 (by clausification #[31]): ∀ (a : Iota), Eq (∀ (Y : Iota), rf a Y → rr a Y) True
% 5.24/5.49 Clause #87 (by clausification #[86]): ∀ (a a_1 : Iota), Eq (rf a a_1 → rr a a_1) True
% 5.24/5.49 Clause #88 (by clausification #[87]): ∀ (a a_1 : Iota), Or (Eq (rf a a_1) False) (Eq (rr a a_1) True)
% 5.24/5.49 Clause #96 (by clausification #[19]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 5.24/5.49 Clause #98 (by clausification #[96]): ∀ (a : Iota), Eq (cowlThing a) True
% 5.24/5.49 Clause #168 (by clausification #[27]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvF a Y) (rf Y a)) True
% 5.24/5.49 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota), Eq (Iff (rinvF a a_1) (rf a_1 a)) True
% 5.24/5.49 Clause #171 (by clausification #[169]): ∀ (a a_1 : Iota), Or (Eq (rinvF a a_1) False) (Eq (rf a_1 a) True)
% 5.24/5.49 Clause #172 (by clausification #[26]): ∀ (a : Iota), Eq (cowlThing a → ∀ (Y0 Y1 : Iota), And (rf a Y0) (rf a Y1) → Eq Y0 Y1) True
% 5.24/5.49 Clause #173 (by clausification #[172]): ∀ (a : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y0 Y1 : Iota), And (rf a Y0) (rf a Y1) → Eq Y0 Y1) True)
% 5.24/5.49 Clause #174 (by clausification #[173]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y1 : Iota), And (rf a a_1) (rf a Y1) → Eq a_1 Y1) True)
% 5.24/5.49 Clause #175 (by clausification #[174]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Eq (And (rf a a_1) (rf a a_2) → Eq a_1 a_2) True)
% 5.24/5.49 Clause #176 (by clausification #[175]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (And (rf a a_1) (rf a a_2)) False) (Eq (Eq a_1 a_2) True))
% 5.24/5.49 Clause #177 (by clausification #[176]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.49 Or (Eq (cowlThing a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rf a a_1) False) (Eq (rf a a_2) False)))
% 5.24/5.49 Clause #178 (by clausification #[177]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2)))
% 5.24/5.49 Clause #179 (by forward demodulation #[178, 98]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2)))
% 5.24/5.49 Clause #180 (by clausification #[179]): ∀ (a a_1 a_2 : Iota), Or (Eq (rf a a_1) False) (Or (Eq (rf a a_2) False) (Eq a_1 a_2))
% 5.24/5.49 Clause #181 (by clausification #[21]): ∀ (a : Iota),
% 5.24/5.49 Eq
% 5.24/5.49 (Iff (cUnsatisfiable a)
% 5.24/5.49 (And (And (ccxcomp a) (∀ (Y : Iota), rinvR a Y → ca_Vx3 Y)) (Exists fun Y => And (rinvF a Y) (cd Y))))
% 5.24/5.49 True
% 5.24/5.49 Clause #183 (by clausification #[181]): ∀ (a : Iota),
% 5.24/5.49 Or (Eq (cUnsatisfiable a) False)
% 5.24/5.49 (Eq (And (And (ccxcomp a) (∀ (Y : Iota), rinvR a Y → ca_Vx3 Y)) (Exists fun Y => And (rinvF a Y) (cd Y))) True)
% 5.24/5.49 Clause #192 (by clausification #[28]): ∀ (a : Iota), Eq (∀ (Y : Iota), Iff (rinvR a Y) (rr Y a)) True
% 5.24/5.49 Clause #193 (by clausification #[192]): ∀ (a a_1 : Iota), Eq (Iff (rinvR a a_1) (rr a_1 a)) True
% 5.24/5.49 Clause #194 (by clausification #[193]): ∀ (a a_1 : Iota), Or (Eq (rinvR a a_1) True) (Eq (rr a_1 a) False)
% 5.24/5.52 Clause #196 (by betaEtaReduce #[23]): Eq (∀ (X : Iota), Iff (ccxcomp X) (Exists (ra_Px1 X))) True
% 5.24/5.52 Clause #197 (by clausification #[196]): ∀ (a : Iota), Eq (Iff (ccxcomp a) (Exists (ra_Px1 a))) True
% 5.24/5.52 Clause #199 (by clausification #[197]): ∀ (a : Iota), Or (Eq (ccxcomp a) False) (Eq (Exists (ra_Px1 a)) True)
% 5.24/5.52 Clause #201 (by clausification #[199]): ∀ (a a_1 : Iota), Or (Eq (ccxcomp a) False) (Eq (ra_Px1 a (skS.0 1 a a_1)) True)
% 5.24/5.52 Clause #202 (by betaEtaReduce #[22]): Eq (∀ (X : Iota), Iff (cc X) (Not (Exists (ra_Px1 X)))) True
% 5.24/5.52 Clause #203 (by clausification #[202]): ∀ (a : Iota), Eq (Iff (cc a) (Not (Exists (ra_Px1 a)))) True
% 5.24/5.52 Clause #205 (by clausification #[203]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (Exists (ra_Px1 a))) True)
% 5.24/5.52 Clause #209 (by clausification #[24]): ∀ (a : Iota), Eq (Iff (cd a) (And (Exists fun Y => And (rf a Y) (ccxcomp Y)) (cc a))) True
% 5.24/5.52 Clause #211 (by clausification #[209]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (And (Exists fun Y => And (rf a Y) (ccxcomp Y)) (cc a)) True)
% 5.24/5.52 Clause #217 (by clausification #[205]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Exists (ra_Px1 a)) False)
% 5.24/5.52 Clause #218 (by clausification #[217]): ∀ (a a_1 : Iota), Or (Eq (cc a) False) (Eq (ra_Px1 a a_1) False)
% 5.24/5.52 Clause #221 (by clausification #[25]): ∀ (a : Iota), Eq (Iff (ca_Vx3 a) (Exists fun Y => And (rinvF a Y) (cd Y))) True
% 5.24/5.52 Clause #222 (by clausification #[221]): ∀ (a : Iota), Or (Eq (ca_Vx3 a) True) (Eq (Exists fun Y => And (rinvF a Y) (cd Y)) False)
% 5.24/5.52 Clause #223 (by clausification #[221]): ∀ (a : Iota), Or (Eq (ca_Vx3 a) False) (Eq (Exists fun Y => And (rinvF a Y) (cd Y)) True)
% 5.24/5.52 Clause #224 (by clausification #[222]): ∀ (a a_1 : Iota), Or (Eq (ca_Vx3 a) True) (Eq (And (rinvF a a_1) (cd a_1)) False)
% 5.24/5.52 Clause #225 (by clausification #[224]): ∀ (a a_1 : Iota), Or (Eq (ca_Vx3 a) True) (Or (Eq (rinvF a a_1) False) (Eq (cd a_1) False))
% 5.24/5.52 Clause #226 (by clausification #[223]): ∀ (a a_1 : Iota), Or (Eq (ca_Vx3 a) False) (Eq (And (rinvF a (skS.0 3 a a_1)) (cd (skS.0 3 a a_1))) True)
% 5.24/5.52 Clause #227 (by clausification #[226]): ∀ (a a_1 : Iota), Or (Eq (ca_Vx3 a) False) (Eq (cd (skS.0 3 a a_1)) True)
% 5.24/5.52 Clause #228 (by clausification #[226]): ∀ (a a_1 : Iota), Or (Eq (ca_Vx3 a) False) (Eq (rinvF a (skS.0 3 a a_1)) True)
% 5.24/5.52 Clause #229 (by clausification #[183]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rinvF a Y) (cd Y)) True)
% 5.24/5.52 Clause #230 (by clausification #[183]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (ccxcomp a) (∀ (Y : Iota), rinvR a Y → ca_Vx3 Y)) True)
% 5.24/5.52 Clause #231 (by clausification #[229]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rinvF a (skS.0 4 a a_1)) (cd (skS.0 4 a a_1))) True)
% 5.24/5.52 Clause #232 (by clausification #[231]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd (skS.0 4 a a_1)) True)
% 5.24/5.52 Clause #233 (by clausification #[231]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rinvF a (skS.0 4 a a_1)) True)
% 5.24/5.52 Clause #234 (by superposition #[232, 30]): ∀ (a : Iota), Or (Eq (cd (skS.0 4 i2003_11_14_17_21_37349 a)) True) (Eq False True)
% 5.24/5.52 Clause #235 (by clausification #[230]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rinvR a Y → ca_Vx3 Y) True)
% 5.24/5.52 Clause #237 (by clausification #[235]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rinvR a a_1 → ca_Vx3 a_1) True)
% 5.24/5.52 Clause #238 (by clausification #[237]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rinvR a a_1) False) (Eq (ca_Vx3 a_1) True))
% 5.24/5.52 Clause #239 (by superposition #[238, 30]): ∀ (a : Iota), Or (Eq (rinvR i2003_11_14_17_21_37349 a) False) (Or (Eq (ca_Vx3 a) True) (Eq False True))
% 5.24/5.52 Clause #244 (by clausification #[239]): ∀ (a : Iota), Or (Eq (rinvR i2003_11_14_17_21_37349 a) False) (Eq (ca_Vx3 a) True)
% 5.24/5.52 Clause #245 (by clausification #[234]): ∀ (a : Iota), Eq (cd (skS.0 4 i2003_11_14_17_21_37349 a)) True
% 5.24/5.52 Clause #249 (by superposition #[233, 30]): ∀ (a : Iota), Or (Eq (rinvF i2003_11_14_17_21_37349 (skS.0 4 i2003_11_14_17_21_37349 a)) True) (Eq False True)
% 5.24/5.55 Clause #250 (by clausification #[249]): ∀ (a : Iota), Eq (rinvF i2003_11_14_17_21_37349 (skS.0 4 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #252 (by superposition #[250, 225]): ∀ (a : Iota),
% 5.24/5.55 Or (Eq (ca_Vx3 i2003_11_14_17_21_37349) True) (Or (Eq True False) (Eq (cd (skS.0 4 i2003_11_14_17_21_37349 a)) False))
% 5.24/5.55 Clause #253 (by clausification #[211]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (cc a) True)
% 5.24/5.55 Clause #254 (by clausification #[211]): ∀ (a : Iota), Or (Eq (cd a) False) (Eq (Exists fun Y => And (rf a Y) (ccxcomp Y)) True)
% 5.24/5.55 Clause #259 (by clausification #[254]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (And (rf a (skS.0 5 a a_1)) (ccxcomp (skS.0 5 a a_1))) True)
% 5.24/5.55 Clause #260 (by clausification #[259]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (ccxcomp (skS.0 5 a a_1)) True)
% 5.24/5.55 Clause #261 (by clausification #[259]): ∀ (a a_1 : Iota), Or (Eq (cd a) False) (Eq (rf a (skS.0 5 a a_1)) True)
% 5.24/5.55 Clause #279 (by clausification #[252]): ∀ (a : Iota), Or (Eq (ca_Vx3 i2003_11_14_17_21_37349) True) (Eq (cd (skS.0 4 i2003_11_14_17_21_37349 a)) False)
% 5.24/5.55 Clause #280 (by superposition #[279, 245]): Or (Eq (ca_Vx3 i2003_11_14_17_21_37349) True) (Eq False True)
% 5.24/5.55 Clause #283 (by clausification #[280]): Eq (ca_Vx3 i2003_11_14_17_21_37349) True
% 5.24/5.55 Clause #285 (by superposition #[283, 227]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 3 i2003_11_14_17_21_37349 a)) True)
% 5.24/5.55 Clause #286 (by superposition #[283, 228]): ∀ (a : Iota), Or (Eq True False) (Eq (rinvF i2003_11_14_17_21_37349 (skS.0 3 i2003_11_14_17_21_37349 a)) True)
% 5.24/5.55 Clause #287 (by clausification #[285]): ∀ (a : Iota), Eq (cd (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #288 (by superposition #[287, 253]): ∀ (a : Iota), Or (Eq True False) (Eq (cc (skS.0 3 i2003_11_14_17_21_37349 a)) True)
% 5.24/5.55 Clause #291 (by clausification #[288]): ∀ (a : Iota), Eq (cc (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #293 (by superposition #[291, 218]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) False)
% 5.24/5.55 Clause #294 (by clausification #[286]): ∀ (a : Iota), Eq (rinvF i2003_11_14_17_21_37349 (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #295 (by superposition #[294, 171]): ∀ (a : Iota), Or (Eq True False) (Eq (rf (skS.0 3 i2003_11_14_17_21_37349 a) i2003_11_14_17_21_37349) True)
% 5.24/5.55 Clause #299 (by clausification #[295]): ∀ (a : Iota), Eq (rf (skS.0 3 i2003_11_14_17_21_37349 a) i2003_11_14_17_21_37349) True
% 5.24/5.55 Clause #300 (by superposition #[299, 88]): ∀ (a : Iota), Or (Eq True False) (Eq (rr (skS.0 3 i2003_11_14_17_21_37349 a) i2003_11_14_17_21_37349) True)
% 5.24/5.55 Clause #304 (by clausification #[300]): ∀ (a : Iota), Eq (rr (skS.0 3 i2003_11_14_17_21_37349 a) i2003_11_14_17_21_37349) True
% 5.24/5.55 Clause #306 (by superposition #[304, 194]): ∀ (a : Iota), Or (Eq (rinvR i2003_11_14_17_21_37349 (skS.0 3 i2003_11_14_17_21_37349 a)) True) (Eq True False)
% 5.24/5.55 Clause #307 (by clausification #[306]): ∀ (a : Iota), Eq (rinvR i2003_11_14_17_21_37349 (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #308 (by superposition #[307, 244]): ∀ (a : Iota), Or (Eq True False) (Eq (ca_Vx3 (skS.0 3 i2003_11_14_17_21_37349 a)) True)
% 5.24/5.55 Clause #309 (by clausification #[308]): ∀ (a : Iota), Eq (ca_Vx3 (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.55 Clause #310 (by superposition #[309, 227]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (cd (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True)
% 5.24/5.55 Clause #311 (by superposition #[309, 228]): ∀ (a a_1 : Iota),
% 5.24/5.55 Or (Eq True False)
% 5.24/5.55 (Eq (rinvF (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True)
% 5.24/5.55 Clause #314 (by clausification #[293]): ∀ (a a_1 : Iota), Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) False
% 5.24/5.55 Clause #328 (by clausification #[310]): ∀ (a a_1 : Iota), Eq (cd (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True
% 5.24/5.55 Clause #330 (by superposition #[328, 260]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.55 Or (Eq True False) (Eq (ccxcomp (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2)) True)
% 5.24/5.55 Clause #331 (by superposition #[328, 261]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Or (Eq True False)
% 5.24/5.56 (Eq
% 5.24/5.56 (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)
% 5.24/5.56 (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2))
% 5.24/5.56 True)
% 5.24/5.56 Clause #372 (by clausification #[330]): ∀ (a a_1 a_2 : Iota), Eq (ccxcomp (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2)) True
% 5.24/5.56 Clause #377 (by clausification #[311]): ∀ (a a_1 : Iota), Eq (rinvF (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True
% 5.24/5.56 Clause #378 (by superposition #[377, 171]): ∀ (a a_1 : Iota),
% 5.24/5.56 Or (Eq True False)
% 5.24/5.56 (Eq (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) (skS.0 3 i2003_11_14_17_21_37349 a)) True)
% 5.24/5.56 Clause #380 (by clausification #[378]): ∀ (a a_1 : Iota), Eq (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.56 Clause #383 (by superposition #[380, 180]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Or (Eq True False)
% 5.24/5.56 (Or (Eq (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2) False)
% 5.24/5.56 (Eq (skS.0 3 i2003_11_14_17_21_37349 a) a_2))
% 5.24/5.56 Clause #422 (by clausification #[383]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Or (Eq (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2) False) (Eq (skS.0 3 i2003_11_14_17_21_37349 a) a_2)
% 5.24/5.56 Clause #430 (by clausification #[331]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Eq
% 5.24/5.56 (rf (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)
% 5.24/5.56 (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2))
% 5.24/5.56 True
% 5.24/5.56 Clause #431 (by superposition #[430, 422]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Or (Eq True False)
% 5.24/5.56 (Eq (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2))
% 5.24/5.56 Clause #483 (by clausification #[431]): ∀ (a a_1 a_2 : Iota),
% 5.24/5.56 Eq (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 5 (skS.0 3 (skS.0 3 i2003_11_14_17_21_37349 a) a_1) a_2)
% 5.24/5.56 Clause #484 (by backward demodulation #[483, 372]): ∀ (a : Iota), Eq (ccxcomp (skS.0 3 i2003_11_14_17_21_37349 a)) True
% 5.24/5.56 Clause #489 (by superposition #[484, 201]): ∀ (a a_1 : Iota),
% 5.24/5.56 Or (Eq True False)
% 5.24/5.56 (Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 1 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True)
% 5.24/5.56 Clause #491 (by clausification #[489]): ∀ (a a_1 : Iota), Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_37349 a) (skS.0 1 (skS.0 3 i2003_11_14_17_21_37349 a) a_1)) True
% 5.24/5.56 Clause #492 (by superposition #[491, 314]): Eq True False
% 5.24/5.56 Clause #494 (by clausification #[492]): False
% 5.24/5.56 SZS output end Proof for theBenchmark.p
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