TSTP Solution File: KRS096+1 by Duper---1.0
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- Process Solution
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% File : Duper---1.0
% Problem : KRS096+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : duper %s
% Computer : n014.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 3.68s 3.92s
% Output : Proof 3.68s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS096+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 01:56:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.68/3.92 SZS status Theorem for theBenchmark.p
% 3.68/3.92 SZS output start Proof for theBenchmark.p
% 3.68/3.92 Clause #11 (by assumption #[]): Eq
% 3.68/3.92 (∀ (X : Iota),
% 3.68/3.92 Iff (cUnsatisfiable X)
% 3.68/3.92 (And (And (Exists fun Y => And (rr X Y) (cc Y)) (Exists fun Y => And (rr X Y) (cd Y)))
% 3.68/3.92 (∀ (Y0 Y1 : Iota), And (rr X Y0) (rr X Y1) → Eq Y0 Y1)))
% 3.68/3.92 True
% 3.68/3.92 Clause #12 (by assumption #[]): Eq (∀ (X : Iota), cc X → Not (cd X)) True
% 3.68/3.92 Clause #13 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_20_18265) True
% 3.68/3.92 Clause #14 (by clausification #[12]): ∀ (a : Iota), Eq (cc a → Not (cd a)) True
% 3.68/3.92 Clause #15 (by clausification #[14]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (Not (cd a)) True)
% 3.68/3.92 Clause #16 (by clausification #[15]): ∀ (a : Iota), Or (Eq (cc a) False) (Eq (cd a) False)
% 3.68/3.92 Clause #81 (by clausification #[11]): ∀ (a : Iota),
% 3.68/3.92 Eq
% 3.68/3.92 (Iff (cUnsatisfiable a)
% 3.68/3.92 (And (And (Exists fun Y => And (rr a Y) (cc Y)) (Exists fun Y => And (rr a Y) (cd Y)))
% 3.68/3.92 (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1)))
% 3.68/3.92 True
% 3.68/3.92 Clause #83 (by clausification #[81]): ∀ (a : Iota),
% 3.68/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.68/3.92 (Eq
% 3.68/3.92 (And (And (Exists fun Y => And (rr a Y) (cc Y)) (Exists fun Y => And (rr a Y) (cd Y)))
% 3.68/3.92 (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1))
% 3.68/3.92 True)
% 3.68/3.92 Clause #98 (by clausification #[83]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y0 Y1 : Iota), And (rr a Y0) (rr a Y1) → Eq Y0 Y1) True)
% 3.68/3.92 Clause #99 (by clausification #[83]): ∀ (a : Iota),
% 3.68/3.92 Or (Eq (cUnsatisfiable a) False)
% 3.68/3.92 (Eq (And (Exists fun Y => And (rr a Y) (cc Y)) (Exists fun Y => And (rr a Y) (cd Y))) True)
% 3.68/3.92 Clause #100 (by clausification #[98]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (∀ (Y1 : Iota), And (rr a a_1) (rr a Y1) → Eq a_1 Y1) True)
% 3.68/3.92 Clause #101 (by clausification #[100]): ∀ (a a_1 a_2 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a a_1) (rr a a_2) → Eq a_1 a_2) True)
% 3.68/3.92 Clause #102 (by clausification #[101]): ∀ (a a_1 a_2 : Iota),
% 3.68/3.92 Or (Eq (cUnsatisfiable a) False) (Or (Eq (And (rr a a_1) (rr a a_2)) False) (Eq (Eq a_1 a_2) True))
% 3.68/3.92 Clause #103 (by clausification #[102]): ∀ (a a_1 a_2 : Iota),
% 3.68/3.92 Or (Eq (cUnsatisfiable a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rr a a_1) False) (Eq (rr a a_2) False)))
% 3.68/3.92 Clause #104 (by clausification #[103]): ∀ (a a_1 a_2 : Iota),
% 3.68/3.92 Or (Eq (cUnsatisfiable a) False) (Or (Eq (rr a a_1) False) (Or (Eq (rr a a_2) False) (Eq a_1 a_2)))
% 3.68/3.92 Clause #105 (by superposition #[104, 13]): ∀ (a a_1 : Iota),
% 3.68/3.92 Or (Eq (rr i2003_11_14_17_20_18265 a) False)
% 3.68/3.92 (Or (Eq (rr i2003_11_14_17_20_18265 a_1) False) (Or (Eq a a_1) (Eq False True)))
% 3.68/3.92 Clause #106 (by clausification #[105]): ∀ (a a_1 : Iota),
% 3.68/3.92 Or (Eq (rr i2003_11_14_17_20_18265 a) False) (Or (Eq (rr i2003_11_14_17_20_18265 a_1) False) (Eq a a_1))
% 3.68/3.92 Clause #107 (by clausification #[99]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cd Y)) True)
% 3.68/3.92 Clause #108 (by clausification #[99]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cc Y)) True)
% 3.68/3.92 Clause #109 (by clausification #[107]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 2 a a_1)) (cd (skS.0 2 a a_1))) True)
% 3.68/3.92 Clause #110 (by clausification #[109]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cd (skS.0 2 a a_1)) True)
% 3.68/3.92 Clause #111 (by clausification #[109]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 2 a a_1)) True)
% 3.68/3.92 Clause #112 (by superposition #[110, 13]): ∀ (a : Iota), Or (Eq (cd (skS.0 2 i2003_11_14_17_20_18265 a)) True) (Eq False True)
% 3.68/3.92 Clause #113 (by clausification #[112]): ∀ (a : Iota), Eq (cd (skS.0 2 i2003_11_14_17_20_18265 a)) True
% 3.68/3.92 Clause #114 (by clausification #[108]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 3 a a_1)) (cc (skS.0 3 a a_1))) True)
% 3.68/3.92 Clause #115 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cc (skS.0 3 a a_1)) True)
% 3.68/3.92 Clause #116 (by clausification #[114]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 3 a a_1)) True)
% 3.68/3.93 Clause #117 (by superposition #[115, 13]): ∀ (a : Iota), Or (Eq (cc (skS.0 3 i2003_11_14_17_20_18265 a)) True) (Eq False True)
% 3.68/3.93 Clause #118 (by clausification #[117]): ∀ (a : Iota), Eq (cc (skS.0 3 i2003_11_14_17_20_18265 a)) True
% 3.68/3.93 Clause #119 (by superposition #[118, 16]): ∀ (a : Iota), Or (Eq True False) (Eq (cd (skS.0 3 i2003_11_14_17_20_18265 a)) False)
% 3.68/3.93 Clause #121 (by clausification #[119]): ∀ (a : Iota), Eq (cd (skS.0 3 i2003_11_14_17_20_18265 a)) False
% 3.68/3.93 Clause #122 (by superposition #[116, 13]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_18265 (skS.0 3 i2003_11_14_17_20_18265 a)) True) (Eq False True)
% 3.68/3.93 Clause #123 (by clausification #[122]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_18265 (skS.0 3 i2003_11_14_17_20_18265 a)) True
% 3.68/3.93 Clause #128 (by superposition #[111, 13]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_20_18265 (skS.0 2 i2003_11_14_17_20_18265 a)) True) (Eq False True)
% 3.68/3.93 Clause #129 (by clausification #[128]): ∀ (a : Iota), Eq (rr i2003_11_14_17_20_18265 (skS.0 2 i2003_11_14_17_20_18265 a)) True
% 3.68/3.93 Clause #130 (by superposition #[129, 106]): ∀ (a a_1 : Iota),
% 3.68/3.93 Or (Eq True False) (Or (Eq (rr i2003_11_14_17_20_18265 a) False) (Eq (skS.0 2 i2003_11_14_17_20_18265 a_1) a))
% 3.68/3.93 Clause #137 (by clausification #[130]): ∀ (a a_1 : Iota), Or (Eq (rr i2003_11_14_17_20_18265 a) False) (Eq (skS.0 2 i2003_11_14_17_20_18265 a_1) a)
% 3.68/3.93 Clause #138 (by superposition #[137, 123]): ∀ (a a_1 : Iota), Or (Eq (skS.0 2 i2003_11_14_17_20_18265 a) (skS.0 3 i2003_11_14_17_20_18265 a_1)) (Eq False True)
% 3.68/3.93 Clause #141 (by clausification #[138]): ∀ (a a_1 : Iota), Eq (skS.0 2 i2003_11_14_17_20_18265 a) (skS.0 3 i2003_11_14_17_20_18265 a_1)
% 3.68/3.93 Clause #144 (by superposition #[141, 121]): ∀ (a : Iota), Eq (cd (skS.0 2 i2003_11_14_17_20_18265 a)) False
% 3.68/3.93 Clause #147 (by superposition #[144, 113]): Eq False True
% 3.68/3.93 Clause #148 (by clausification #[147]): False
% 3.68/3.93 SZS output end Proof for theBenchmark.p
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