TSTP Solution File: KRS099+1 by Duper---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n005.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 4.30s 4.46s
% Output : Proof 4.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS099+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.14 % Command : duper %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Aug 28 01:21:38 EDT 2023
% 0.15/0.35 % CPUTime :
% 4.30/4.46 SZS status Theorem for theBenchmark.p
% 4.30/4.46 SZS output start Proof for theBenchmark.p
% 4.30/4.46 Clause #12 (by assumption #[]): Eq
% 4.30/4.46 (∀ (X : Iota),
% 4.30/4.46 Iff (cUnsatisfiable X)
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.30/4.46 And (And (And (And (And (rtt X Y0) (rtt X Y1)) (rtt X Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.30/4.46 (∀ (Y : Iota), rtt X Y → ca Y))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt X Y0) (rtt X Y1) → Eq Y0 Y1))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt X Y0) (rtt X Y1) → Eq Y0 Y1)))
% 4.30/4.46 True
% 4.30/4.46 Clause #15 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_29215) True
% 4.30/4.46 Clause #92 (by clausification #[12]): ∀ (a : Iota),
% 4.30/4.46 Eq
% 4.30/4.46 (Iff (cUnsatisfiable a)
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.30/4.46 And (And (And (And (And (rtt a Y0) (rtt a Y1)) (rtt a Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.30/4.46 (∀ (Y : Iota), rtt a Y → ca Y))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1)))
% 4.30/4.46 True
% 4.30/4.46 Clause #94 (by clausification #[92]): ∀ (a : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False)
% 4.30/4.46 (Eq
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.30/4.46 And (And (And (And (And (rtt a Y0) (rtt a Y1)) (rtt a Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.30/4.46 (∀ (Y : Iota), rtt a Y → ca Y))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1))
% 4.30/4.46 True)
% 4.30/4.46 Clause #129 (by clausification #[94]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1) True)
% 4.30/4.46 Clause #130 (by clausification #[94]): ∀ (a : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False)
% 4.30/4.46 (Eq
% 4.30/4.46 (And
% 4.30/4.46 (And
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.30/4.46 And (And (And (And (And (rtt a Y0) (rtt a Y1)) (rtt a Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.30/4.46 (∀ (Y : Iota), rtt a Y → ca Y))
% 4.30/4.46 (∀ (Y0 Y1 : Iota), And (rtt a Y0) (rtt a Y1) → Eq Y0 Y1))
% 4.30/4.46 True)
% 4.30/4.46 Clause #131 (by clausification #[129]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y1 : Iota), And (rtt a a_1) (rtt a Y1) → Eq a_1 Y1) True)
% 4.30/4.46 Clause #132 (by clausification #[131]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rtt a a_1) (rtt a a_2) → Eq a_1 a_2) True)
% 4.30/4.46 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (rtt a a_1) (rtt a a_2)) False) (Eq (Eq a_1 a_2) True))
% 4.30/4.46 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rtt a a_1) False) (Eq (rtt a a_2) False)))
% 4.30/4.46 Clause #135 (by clausification #[134]): ∀ (a a_1 a_2 : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rtt a a_1) False) (Or (Eq (rtt a a_2) False) (Eq a_1 a_2)))
% 4.30/4.46 Clause #136 (by superposition #[135, 15]): ∀ (a a_1 : Iota),
% 4.30/4.46 Or (Eq (rtt i2003_11_14_17_20_29215 a) False)
% 4.30/4.46 (Or (Eq (rtt i2003_11_14_17_20_29215 a_1) False) (Or (Eq a a_1) (Eq False True)))
% 4.30/4.46 Clause #137 (by clausification #[136]): ∀ (a a_1 : Iota),
% 4.30/4.46 Or (Eq (rtt i2003_11_14_17_20_29215 a) False) (Or (Eq (rtt i2003_11_14_17_20_29215 a_1) False) (Eq a a_1))
% 4.30/4.46 Clause #138 (by clausification #[130]): ∀ (a : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False)
% 4.30/4.46 (Eq
% 4.30/4.46 (And
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.30/4.46 And (And (And (And (And (rtt a Y0) (rtt a Y1)) (rtt a Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.30/4.46 (∀ (Y : Iota), rtt a Y → ca Y))
% 4.30/4.46 True)
% 4.30/4.46 Clause #140 (by clausification #[138]): ∀ (a : Iota),
% 4.30/4.46 Or (Eq (cUnsatisfiable a) False)
% 4.30/4.46 (Eq
% 4.30/4.46 (Exists fun Y0 =>
% 4.30/4.46 Exists fun Y1 =>
% 4.30/4.46 Exists fun Y2 =>
% 4.33/4.48 And (And (And (And (And (rtt a Y0) (rtt a Y1)) (rtt a Y2)) (Ne Y0 Y1)) (Ne Y0 Y2)) (Ne Y1 Y2))
% 4.33/4.48 True)
% 4.33/4.48 Clause #162 (by clausification #[140]): ∀ (a a_1 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq
% 4.33/4.48 (Exists fun Y1 =>
% 4.33/4.48 Exists fun Y2 =>
% 4.33/4.48 And
% 4.33/4.48 (And (And (And (And (rtt a (skS.0 5 a a_1)) (rtt a Y1)) (rtt a Y2)) (Ne (skS.0 5 a a_1) Y1))
% 4.33/4.48 (Ne (skS.0 5 a a_1) Y2))
% 4.33/4.48 (Ne Y1 Y2))
% 4.33/4.48 True)
% 4.33/4.48 Clause #163 (by clausification #[162]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq
% 4.33/4.48 (Exists fun Y2 =>
% 4.33/4.48 And
% 4.33/4.48 (And
% 4.33/4.48 (And (And (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) (rtt a Y2))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) Y2))
% 4.33/4.48 (Ne (skS.0 6 a a_1 a_2) Y2))
% 4.33/4.48 True)
% 4.33/4.48 Clause #164 (by clausification #[163]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq
% 4.33/4.48 (And
% 4.33/4.48 (And
% 4.33/4.48 (And (And (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) (rtt a (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 (Ne (skS.0 6 a a_1 a_2) (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 True)
% 4.33/4.48 Clause #166 (by clausification #[164]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq
% 4.33/4.48 (And
% 4.33/4.48 (And (And (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) (rtt a (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 True)
% 4.33/4.48 Clause #291 (by clausification #[166]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq
% 4.33/4.48 (And (And (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) (rtt a (skS.0 7 a a_1 a_2 a_3)))
% 4.33/4.48 (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)))
% 4.33/4.48 True)
% 4.33/4.48 Clause #295 (by clausification #[291]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2)) True)
% 4.33/4.48 Clause #296 (by clausification #[291]): ∀ (a a_1 a_2 a_3 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False)
% 4.33/4.48 (Eq (And (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) (rtt a (skS.0 7 a a_1 a_2 a_3))) True)
% 4.33/4.48 Clause #297 (by clausification #[295]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Ne (skS.0 5 a a_1) (skS.0 6 a a_1 a_2))
% 4.33/4.48 Clause #298 (by superposition #[297, 15]): ∀ (a a_1 : Iota), Or (Ne (skS.0 5 i2003_11_14_17_20_29215 a) (skS.0 6 i2003_11_14_17_20_29215 a a_1)) (Eq False True)
% 4.33/4.48 Clause #299 (by clausification #[298]): ∀ (a a_1 : Iota), Ne (skS.0 5 i2003_11_14_17_20_29215 a) (skS.0 6 i2003_11_14_17_20_29215 a a_1)
% 4.33/4.48 Clause #301 (by clausification #[296]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.48 Or (Eq (cUnsatisfiable a) False) (Eq (And (rtt a (skS.0 5 a a_1)) (rtt a (skS.0 6 a a_1 a_2))) True)
% 4.33/4.48 Clause #325 (by clausification #[301]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rtt a (skS.0 6 a a_1 a_2)) True)
% 4.33/4.48 Clause #326 (by clausification #[301]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rtt a (skS.0 5 a a_1)) True)
% 4.33/4.48 Clause #327 (by superposition #[325, 15]): ∀ (a a_1 : Iota), Or (Eq (rtt i2003_11_14_17_20_29215 (skS.0 6 i2003_11_14_17_20_29215 a a_1)) True) (Eq False True)
% 4.33/4.48 Clause #328 (by superposition #[326, 15]): ∀ (a : Iota), Or (Eq (rtt i2003_11_14_17_20_29215 (skS.0 5 i2003_11_14_17_20_29215 a)) True) (Eq False True)
% 4.33/4.48 Clause #329 (by clausification #[328]): ∀ (a : Iota), Eq (rtt i2003_11_14_17_20_29215 (skS.0 5 i2003_11_14_17_20_29215 a)) True
% 4.33/4.48 Clause #339 (by clausification #[327]): ∀ (a a_1 : Iota), Eq (rtt i2003_11_14_17_20_29215 (skS.0 6 i2003_11_14_17_20_29215 a a_1)) True
% 4.33/4.48 Clause #340 (by superposition #[339, 137]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.48 Or (Eq True False) (Or (Eq (rtt i2003_11_14_17_20_29215 a) False) (Eq (skS.0 6 i2003_11_14_17_20_29215 a_1 a_2) a))
% 4.33/4.48 Clause #355 (by clausification #[340]): ∀ (a a_1 a_2 : Iota), Or (Eq (rtt i2003_11_14_17_20_29215 a) False) (Eq (skS.0 6 i2003_11_14_17_20_29215 a_1 a_2) a)
% 4.33/4.48 Clause #357 (by superposition #[355, 329]): ∀ (a a_1 a_2 : Iota),
% 4.33/4.48 Or (Eq (skS.0 6 i2003_11_14_17_20_29215 a a_1) (skS.0 5 i2003_11_14_17_20_29215 a_2)) (Eq False True)
% 4.33/4.48 Clause #360 (by clausification #[357]): ∀ (a a_1 a_2 : Iota), Eq (skS.0 6 i2003_11_14_17_20_29215 a a_1) (skS.0 5 i2003_11_14_17_20_29215 a_2)
% 4.33/4.48 Clause #361 (by backward contextual literal cutting #[360, 299]): False
% 4.33/4.48 SZS output end Proof for theBenchmark.p
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