TSTP Solution File: KRS079+1 by Duper---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Duper---1.0
% Problem : KRS079+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 05:43:15 EDT 2023
% Result : Unsatisfiable 3.73s 3.92s
% Output : Proof 3.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS079+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : duper %s
% 0.12/0.34 % Computer : n026.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 02:36:19 EDT 2023
% 0.12/0.34 % CPUTime :
% 3.73/3.92 SZS status Theorem for theBenchmark.p
% 3.73/3.92 SZS output start Proof for theBenchmark.p
% 3.73/3.92 Clause #13 (by assumption #[]): Eq (∀ (X : Iota), And (cowlThing X) (Not (cowlNothing X))) True
% 3.73/3.92 Clause #15 (by assumption #[]): Eq
% 3.73/3.92 (∀ (X : Iota),
% 3.73/3.92 Iff (cUnsatisfiable X)
% 3.73/3.92 (And (And (Exists fun Y => And (rf2 X Y) (cp2 Y)) (Exists fun Y => And (rf1 X Y) (cp1 Y)))
% 3.73/3.92 (Exists fun Y => And (rr X Y) (cowlThing Y))))
% 3.73/3.92 True
% 3.73/3.92 Clause #16 (by assumption #[]): Eq (∀ (X : Iota), cp1 X → Not (cp2 X)) True
% 3.73/3.92 Clause #17 (by assumption #[]): Eq (∀ (X : Iota), cowlThing X → ∀ (Y0 Y1 : Iota), And (rf1 X Y0) (rf1 X Y1) → Eq Y0 Y1) True
% 3.73/3.92 Clause #18 (by assumption #[]): Eq (∀ (X : Iota), cowlThing X → ∀ (Y0 Y1 : Iota), And (rf2 X Y0) (rf2 X Y1) → Eq Y0 Y1) True
% 3.73/3.92 Clause #19 (by assumption #[]): Eq (cUnsatisfiable i2003_11_14_17_19_17492) True
% 3.73/3.92 Clause #20 (by assumption #[]): Eq (∀ (X Y : Iota), rr X Y → rf1 X Y) True
% 3.73/3.92 Clause #21 (by assumption #[]): Eq (∀ (X Y : Iota), rr X Y → rf2 X Y) True
% 3.73/3.92 Clause #22 (by clausification #[16]): ∀ (a : Iota), Eq (cp1 a → Not (cp2 a)) True
% 3.73/3.92 Clause #23 (by clausification #[22]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (Not (cp2 a)) True)
% 3.73/3.92 Clause #24 (by clausification #[23]): ∀ (a : Iota), Or (Eq (cp1 a) False) (Eq (cp2 a) False)
% 3.73/3.92 Clause #67 (by clausification #[21]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr a Y → rf2 a Y) True
% 3.73/3.92 Clause #68 (by clausification #[67]): ∀ (a a_1 : Iota), Eq (rr a a_1 → rf2 a a_1) True
% 3.73/3.92 Clause #69 (by clausification #[68]): ∀ (a a_1 : Iota), Or (Eq (rr a a_1) False) (Eq (rf2 a a_1) True)
% 3.73/3.92 Clause #70 (by clausification #[20]): ∀ (a : Iota), Eq (∀ (Y : Iota), rr a Y → rf1 a Y) True
% 3.73/3.92 Clause #71 (by clausification #[70]): ∀ (a a_1 : Iota), Eq (rr a a_1 → rf1 a a_1) True
% 3.73/3.92 Clause #72 (by clausification #[71]): ∀ (a a_1 : Iota), Or (Eq (rr a a_1) False) (Eq (rf1 a a_1) True)
% 3.73/3.92 Clause #112 (by clausification #[13]): ∀ (a : Iota), Eq (And (cowlThing a) (Not (cowlNothing a))) True
% 3.73/3.92 Clause #114 (by clausification #[112]): ∀ (a : Iota), Eq (cowlThing a) True
% 3.73/3.92 Clause #121 (by clausification #[17]): ∀ (a : Iota), Eq (cowlThing a → ∀ (Y0 Y1 : Iota), And (rf1 a Y0) (rf1 a Y1) → Eq Y0 Y1) True
% 3.73/3.92 Clause #122 (by clausification #[121]): ∀ (a : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y0 Y1 : Iota), And (rf1 a Y0) (rf1 a Y1) → Eq Y0 Y1) True)
% 3.73/3.92 Clause #123 (by clausification #[122]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y1 : Iota), And (rf1 a a_1) (rf1 a Y1) → Eq a_1 Y1) True)
% 3.73/3.92 Clause #124 (by clausification #[123]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Eq (And (rf1 a a_1) (rf1 a a_2) → Eq a_1 a_2) True)
% 3.73/3.92 Clause #125 (by clausification #[124]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (And (rf1 a a_1) (rf1 a a_2)) False) (Eq (Eq a_1 a_2) True))
% 3.73/3.92 Clause #126 (by clausification #[125]): ∀ (a a_1 a_2 : Iota),
% 3.73/3.92 Or (Eq (cowlThing a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rf1 a a_1) False) (Eq (rf1 a a_2) False)))
% 3.73/3.92 Clause #127 (by clausification #[126]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (rf1 a a_1) False) (Or (Eq (rf1 a a_2) False) (Eq a_1 a_2)))
% 3.73/3.92 Clause #128 (by forward demodulation #[127, 114]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rf1 a a_1) False) (Or (Eq (rf1 a a_2) False) (Eq a_1 a_2)))
% 3.73/3.92 Clause #129 (by clausification #[128]): ∀ (a a_1 a_2 : Iota), Or (Eq (rf1 a a_1) False) (Or (Eq (rf1 a a_2) False) (Eq a_1 a_2))
% 3.73/3.92 Clause #130 (by clausification #[18]): ∀ (a : Iota), Eq (cowlThing a → ∀ (Y0 Y1 : Iota), And (rf2 a Y0) (rf2 a Y1) → Eq Y0 Y1) True
% 3.73/3.92 Clause #131 (by clausification #[130]): ∀ (a : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y0 Y1 : Iota), And (rf2 a Y0) (rf2 a Y1) → Eq Y0 Y1) True)
% 3.73/3.92 Clause #132 (by clausification #[131]): ∀ (a a_1 : Iota), Or (Eq (cowlThing a) False) (Eq (∀ (Y1 : Iota), And (rf2 a a_1) (rf2 a Y1) → Eq a_1 Y1) True)
% 3.73/3.92 Clause #133 (by clausification #[132]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Eq (And (rf2 a a_1) (rf2 a a_2) → Eq a_1 a_2) True)
% 3.73/3.92 Clause #134 (by clausification #[133]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (And (rf2 a a_1) (rf2 a a_2)) False) (Eq (Eq a_1 a_2) True))
% 3.73/3.94 Clause #135 (by clausification #[134]): ∀ (a a_1 a_2 : Iota),
% 3.73/3.94 Or (Eq (cowlThing a) False) (Or (Eq (Eq a_1 a_2) True) (Or (Eq (rf2 a a_1) False) (Eq (rf2 a a_2) False)))
% 3.73/3.94 Clause #136 (by clausification #[135]): ∀ (a a_1 a_2 : Iota), Or (Eq (cowlThing a) False) (Or (Eq (rf2 a a_1) False) (Or (Eq (rf2 a a_2) False) (Eq a_1 a_2)))
% 3.73/3.94 Clause #137 (by forward demodulation #[136, 114]): ∀ (a a_1 a_2 : Iota), Or (Eq True False) (Or (Eq (rf2 a a_1) False) (Or (Eq (rf2 a a_2) False) (Eq a_1 a_2)))
% 3.73/3.94 Clause #138 (by clausification #[137]): ∀ (a a_1 a_2 : Iota), Or (Eq (rf2 a a_1) False) (Or (Eq (rf2 a a_2) False) (Eq a_1 a_2))
% 3.73/3.94 Clause #139 (by clausification #[15]): ∀ (a : Iota),
% 3.73/3.94 Eq
% 3.73/3.94 (Iff (cUnsatisfiable a)
% 3.73/3.94 (And (And (Exists fun Y => And (rf2 a Y) (cp2 Y)) (Exists fun Y => And (rf1 a Y) (cp1 Y)))
% 3.73/3.94 (Exists fun Y => And (rr a Y) (cowlThing Y))))
% 3.73/3.94 True
% 3.73/3.94 Clause #141 (by clausification #[139]): ∀ (a : Iota),
% 3.73/3.94 Or (Eq (cUnsatisfiable a) False)
% 3.73/3.94 (Eq
% 3.73/3.94 (And (And (Exists fun Y => And (rf2 a Y) (cp2 Y)) (Exists fun Y => And (rf1 a Y) (cp1 Y)))
% 3.73/3.94 (Exists fun Y => And (rr a Y) (cowlThing Y)))
% 3.73/3.94 True)
% 3.73/3.94 Clause #152 (by clausification #[141]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rr a Y) (cowlThing Y)) True)
% 3.73/3.94 Clause #153 (by clausification #[141]): ∀ (a : Iota),
% 3.73/3.94 Or (Eq (cUnsatisfiable a) False)
% 3.73/3.94 (Eq (And (Exists fun Y => And (rf2 a Y) (cp2 Y)) (Exists fun Y => And (rf1 a Y) (cp1 Y))) True)
% 3.73/3.94 Clause #154 (by clausification #[152]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rr a (skS.0 0 a a_1)) (cowlThing (skS.0 0 a a_1))) True)
% 3.73/3.94 Clause #156 (by clausification #[154]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rr a (skS.0 0 a a_1)) True)
% 3.73/3.94 Clause #157 (by superposition #[156, 19]): ∀ (a : Iota), Or (Eq (rr i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True) (Eq False True)
% 3.73/3.94 Clause #158 (by clausification #[157]): ∀ (a : Iota), Eq (rr i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True
% 3.73/3.94 Clause #159 (by superposition #[158, 69]): ∀ (a : Iota), Or (Eq True False) (Eq (rf2 i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True)
% 3.73/3.94 Clause #160 (by superposition #[158, 72]): ∀ (a : Iota), Or (Eq True False) (Eq (rf1 i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True)
% 3.73/3.94 Clause #162 (by clausification #[160]): ∀ (a : Iota), Eq (rf1 i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True
% 3.73/3.94 Clause #164 (by clausification #[159]): ∀ (a : Iota), Eq (rf2 i2003_11_14_17_19_17492 (skS.0 0 i2003_11_14_17_19_17492 a)) True
% 3.73/3.94 Clause #165 (by superposition #[164, 138]): ∀ (a a_1 : Iota),
% 3.73/3.94 Or (Eq True False) (Or (Eq (rf2 i2003_11_14_17_19_17492 a) False) (Eq (skS.0 0 i2003_11_14_17_19_17492 a_1) a))
% 3.73/3.94 Clause #166 (by clausification #[153]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rf1 a Y) (cp1 Y)) True)
% 3.73/3.94 Clause #167 (by clausification #[153]): ∀ (a : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (Exists fun Y => And (rf2 a Y) (cp2 Y)) True)
% 3.73/3.94 Clause #168 (by clausification #[166]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rf1 a (skS.0 1 a a_1)) (cp1 (skS.0 1 a a_1))) True)
% 3.73/3.94 Clause #169 (by clausification #[168]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp1 (skS.0 1 a a_1)) True)
% 3.73/3.94 Clause #170 (by clausification #[168]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rf1 a (skS.0 1 a a_1)) True)
% 3.73/3.94 Clause #171 (by superposition #[169, 19]): ∀ (a : Iota), Or (Eq (cp1 (skS.0 1 i2003_11_14_17_19_17492 a)) True) (Eq False True)
% 3.73/3.94 Clause #172 (by clausification #[171]): ∀ (a : Iota), Eq (cp1 (skS.0 1 i2003_11_14_17_19_17492 a)) True
% 3.73/3.94 Clause #173 (by superposition #[172, 24]): ∀ (a : Iota), Or (Eq True False) (Eq (cp2 (skS.0 1 i2003_11_14_17_19_17492 a)) False)
% 3.73/3.94 Clause #174 (by clausification #[173]): ∀ (a : Iota), Eq (cp2 (skS.0 1 i2003_11_14_17_19_17492 a)) False
% 3.73/3.94 Clause #175 (by clausification #[167]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (And (rf2 a (skS.0 2 a a_1)) (cp2 (skS.0 2 a a_1))) True)
% 3.79/3.95 Clause #176 (by clausification #[175]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (cp2 (skS.0 2 a a_1)) True)
% 3.79/3.95 Clause #177 (by clausification #[175]): ∀ (a a_1 : Iota), Or (Eq (cUnsatisfiable a) False) (Eq (rf2 a (skS.0 2 a a_1)) True)
% 3.79/3.95 Clause #178 (by superposition #[176, 19]): ∀ (a : Iota), Or (Eq (cp2 (skS.0 2 i2003_11_14_17_19_17492 a)) True) (Eq False True)
% 3.79/3.95 Clause #179 (by clausification #[178]): ∀ (a : Iota), Eq (cp2 (skS.0 2 i2003_11_14_17_19_17492 a)) True
% 3.79/3.95 Clause #180 (by superposition #[177, 19]): ∀ (a : Iota), Or (Eq (rf2 i2003_11_14_17_19_17492 (skS.0 2 i2003_11_14_17_19_17492 a)) True) (Eq False True)
% 3.79/3.95 Clause #183 (by clausification #[180]): ∀ (a : Iota), Eq (rf2 i2003_11_14_17_19_17492 (skS.0 2 i2003_11_14_17_19_17492 a)) True
% 3.79/3.95 Clause #185 (by superposition #[170, 19]): ∀ (a : Iota), Or (Eq (rf1 i2003_11_14_17_19_17492 (skS.0 1 i2003_11_14_17_19_17492 a)) True) (Eq False True)
% 3.79/3.95 Clause #186 (by clausification #[185]): ∀ (a : Iota), Eq (rf1 i2003_11_14_17_19_17492 (skS.0 1 i2003_11_14_17_19_17492 a)) True
% 3.79/3.95 Clause #187 (by superposition #[186, 129]): ∀ (a a_1 : Iota),
% 3.79/3.95 Or (Eq True False) (Or (Eq (rf1 i2003_11_14_17_19_17492 a) False) (Eq (skS.0 1 i2003_11_14_17_19_17492 a_1) a))
% 3.79/3.95 Clause #188 (by clausification #[165]): ∀ (a a_1 : Iota), Or (Eq (rf2 i2003_11_14_17_19_17492 a) False) (Eq (skS.0 0 i2003_11_14_17_19_17492 a_1) a)
% 3.79/3.95 Clause #190 (by superposition #[188, 183]): ∀ (a a_1 : Iota), Or (Eq (skS.0 0 i2003_11_14_17_19_17492 a) (skS.0 2 i2003_11_14_17_19_17492 a_1)) (Eq False True)
% 3.79/3.95 Clause #196 (by clausification #[187]): ∀ (a a_1 : Iota), Or (Eq (rf1 i2003_11_14_17_19_17492 a) False) (Eq (skS.0 1 i2003_11_14_17_19_17492 a_1) a)
% 3.79/3.95 Clause #197 (by superposition #[196, 162]): ∀ (a a_1 : Iota), Or (Eq (skS.0 1 i2003_11_14_17_19_17492 a) (skS.0 0 i2003_11_14_17_19_17492 a_1)) (Eq False True)
% 3.79/3.95 Clause #200 (by clausification #[197]): ∀ (a a_1 : Iota), Eq (skS.0 1 i2003_11_14_17_19_17492 a) (skS.0 0 i2003_11_14_17_19_17492 a_1)
% 3.79/3.95 Clause #202 (by superposition #[200, 174]): ∀ (a : Iota), Eq (cp2 (skS.0 0 i2003_11_14_17_19_17492 a)) False
% 3.79/3.95 Clause #213 (by clausification #[190]): ∀ (a a_1 : Iota), Eq (skS.0 0 i2003_11_14_17_19_17492 a) (skS.0 2 i2003_11_14_17_19_17492 a_1)
% 3.79/3.95 Clause #220 (by superposition #[213, 179]): ∀ (a : Iota), Eq (cp2 (skS.0 0 i2003_11_14_17_19_17492 a)) True
% 3.79/3.95 Clause #221 (by superposition #[220, 202]): Eq True False
% 3.79/3.95 Clause #222 (by clausification #[221]): False
% 3.79/3.95 SZS output end Proof for theBenchmark.p
%------------------------------------------------------------------------------