TSTP Solution File: KRS110+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS110+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 05:43:21 EDT 2023
% Result : Unsatisfiable 5.80s 6.00s
% Output : Proof 5.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS110+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.11 % Command : duper %s
% 0.12/0.31 % Computer : n026.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Mon Aug 28 01:28:49 EDT 2023
% 0.12/0.31 % CPUTime :
% 5.80/6.00 SZS status Theorem for theBenchmark.p
% 5.80/6.00 SZS output start Proof for theBenchmark.p
% 5.80/6.00 Clause #24 (by assumption #[]): Eq
% 5.80/6.00 (∀ (X : Iota),
% 5.80/6.00 Iff (cUnsatisfiable X) (And (Exists fun Y => And (rs X Y) (ca_Ax2 Y)) (∀ (Y : Iota), rs X Y → cpxcomp Y)))
% 5.80/6.00 True
% 5.80/6.00 Clause #25 (by assumption #[]): Eq (∀ (X : Iota), Iff (cp X) (Not (Exists fun Y => ra_Px1 X Y))) True
% 5.80/6.00 Clause #26 (by assumption #[]): Eq (∀ (X : Iota), Iff (cpxcomp X) (Exists fun Y0 => ra_Px1 X Y0)) True
% 5.80/6.00 Clause #27 (by assumption #[]): Eq (∀ (X : Iota), Iff (ca_Ax2 X) (And (cp X) (Exists fun Y => And (rinvS X Y) (cp Y)))) True
% 5.80/6.00 Clause #34 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_21_12565) True
% 5.80/6.00 Clause #191 (by clausification #[24]): ∀ (a : Iota),
% 5.80/6.00 Eq (Iff (cUnsatisfiable a) (And (Exists fun Y => And (rs a Y) (ca_Ax2 Y)) (∀ (Y : Iota), rs a Y → cpxcomp Y))) True
% 5.80/6.00 Clause #193 (by clausification #[191]): ∀ (a : Iota),
% 5.80/6.00 Or (Eq (cUnsatisfiable a) False)
% 5.80/6.00 (Eq (And (Exists fun Y => And (rs a Y) (ca_Ax2 Y)) (∀ (Y : Iota), rs a Y → cpxcomp Y)) True)
% 5.80/6.00 Clause #223 (by betaEtaReduce #[25]): Eq (∀ (X : Iota), Iff (cp X) (Not (Exists (ra_Px1 X)))) True
% 5.80/6.00 Clause #224 (by clausification #[223]): ∀ (a : Iota), Eq (Iff (cp a) (Not (Exists (ra_Px1 a)))) True
% 5.80/6.00 Clause #226 (by clausification #[224]): ∀ (a : Iota), Or (Eq (cp a) False) (Eq (Not (Exists (ra_Px1 a))) True)
% 5.80/6.00 Clause #229 (by clausification #[226]): ∀ (a : Iota), Or (Eq (cp a) False) (Eq (Exists (ra_Px1 a)) False)
% 5.80/6.00 Clause #230 (by clausification #[229]): ∀ (a a_1 : Iota), Or (Eq (cp a) False) (Eq (ra_Px1 a a_1) False)
% 5.80/6.00 Clause #239 (by betaEtaReduce #[26]): Eq (∀ (X : Iota), Iff (cpxcomp X) (Exists (ra_Px1 X))) True
% 5.80/6.00 Clause #240 (by clausification #[239]): ∀ (a : Iota), Eq (Iff (cpxcomp a) (Exists (ra_Px1 a))) True
% 5.80/6.00 Clause #242 (by clausification #[240]): ∀ (a : Iota), Or (Eq (cpxcomp a) False) (Eq (Exists (ra_Px1 a)) True)
% 5.80/6.00 Clause #246 (by clausification #[242]): ∀ (a a_1 : Iota), Or (Eq (cpxcomp a) False) (Eq (ra_Px1 a (skS.0 2 a a_1)) True)
% 5.80/6.00 Clause #251 (by clausification #[27]): ∀ (a : Iota), Eq (Iff (ca_Ax2 a) (And (cp a) (Exists fun Y => And (rinvS a Y) (cp Y)))) True
% 5.80/6.00 Clause #253 (by clausification #[251]): ∀ (a : Iota), Or (Eq (ca_Ax2 a) False) (Eq (And (cp a) (Exists fun Y => And (rinvS a Y) (cp Y))) True)
% 5.80/6.00 Clause #257 (by clausification #[193]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y : Iota), rs a Y → cpxcomp Y) True)
% 5.80/6.00 Clause #258 (by clausification #[193]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rs a Y) (ca_Ax2 Y)) True)
% 5.80/6.00 Clause #259 (by clausification #[257]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a a_1 → cpxcomp a_1) True)
% 5.80/6.00 Clause #260 (by clausification #[259]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Or (Eq (rs a a_1) False) (Eq (cpxcomp a_1) True))
% 5.80/6.00 Clause #261 (by superposition #[260, 34]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_21_12565 a) False) (Or (Eq (cpxcomp a) True) (Eq False True))
% 5.80/6.00 Clause #262 (by clausification #[261]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_21_12565 a) False) (Eq (cpxcomp a) True)
% 5.80/6.00 Clause #263 (by clausification #[258]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rs a (skS.0 3 a a_1)) (ca_Ax2 (skS.0 3 a a_1))) True)
% 5.80/6.00 Clause #264 (by clausification #[263]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (ca_Ax2 (skS.0 3 a a_1)) True)
% 5.80/6.00 Clause #265 (by clausification #[263]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rs a (skS.0 3 a a_1)) True)
% 5.80/6.00 Clause #266 (by superposition #[264, 34]): ∀ (a : Iota), Or (Eq (ca_Ax2 (skS.0 3 i2003_11_14_17_21_12565 a)) True) (Eq False True)
% 5.80/6.00 Clause #267 (by clausification #[266]): ∀ (a : Iota), Eq (ca_Ax2 (skS.0 3 i2003_11_14_17_21_12565 a)) True
% 5.80/6.00 Clause #268 (by superposition #[265, 34]): ∀ (a : Iota), Or (Eq (rs i2003_11_14_17_21_12565 (skS.0 3 i2003_11_14_17_21_12565 a)) True) (Eq False True)
% 5.80/6.00 Clause #269 (by clausification #[268]): ∀ (a : Iota), Eq (rs i2003_11_14_17_21_12565 (skS.0 3 i2003_11_14_17_21_12565 a)) True
% 5.80/6.00 Clause #270 (by superposition #[269, 262]): ∀ (a : Iota), Or (Eq True False) (Eq (cpxcomp (skS.0 3 i2003_11_14_17_21_12565 a)) True)
% 5.80/6.01 Clause #277 (by clausification #[270]): ∀ (a : Iota), Eq (cpxcomp (skS.0 3 i2003_11_14_17_21_12565 a)) True
% 5.80/6.01 Clause #278 (by superposition #[277, 246]): ∀ (a a_1 : Iota),
% 5.80/6.01 Or (Eq True False)
% 5.80/6.01 (Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_12565 a) (skS.0 2 (skS.0 3 i2003_11_14_17_21_12565 a) a_1)) True)
% 5.80/6.01 Clause #286 (by clausification #[253]): ∀ (a : Iota), Or (Eq (ca_Ax2 a) False) (Eq (cp a) True)
% 5.80/6.01 Clause #291 (by superposition #[286, 267]): ∀ (a : Iota), Or (Eq (cp (skS.0 3 i2003_11_14_17_21_12565 a)) True) (Eq False True)
% 5.80/6.01 Clause #292 (by clausification #[291]): ∀ (a : Iota), Eq (cp (skS.0 3 i2003_11_14_17_21_12565 a)) True
% 5.80/6.01 Clause #293 (by superposition #[292, 230]): ∀ (a a_1 : Iota), Or (Eq True False) (Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_12565 a) a_1) False)
% 5.80/6.01 Clause #299 (by clausification #[293]): ∀ (a a_1 : Iota), Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_12565 a) a_1) False
% 5.80/6.01 Clause #318 (by clausification #[278]): ∀ (a a_1 : Iota), Eq (ra_Px1 (skS.0 3 i2003_11_14_17_21_12565 a) (skS.0 2 (skS.0 3 i2003_11_14_17_21_12565 a) a_1)) True
% 5.80/6.01 Clause #319 (by superposition #[318, 299]): Eq True False
% 5.80/6.01 Clause #321 (by clausification #[319]): False
% 5.80/6.01 SZS output end Proof for theBenchmark.p
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