TSTP Solution File: BOO075-1 by Matita---1.0
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- Process Solution
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% File : Matita---1.0
% Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n020.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 : 600s
% DateTime : Thu Jul 14 23:44:20 EDT 2022
% Result : Unsatisfiable 1.18s 0.60s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : BOO075-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 1 20:24:23 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 31404: Facts:
% 0.11/0.33 31404: Id : 2, {_}:
% 0.11/0.33 nand (nand ?2 (nand (nand ?3 ?2) ?2)) (nand ?3 (nand ?4 ?2)) =>= ?3
% 0.11/0.33 [4, 3, 2] by sh_1 ?2 ?3 ?4
% 0.11/0.33 31404: Goal:
% 0.11/0.33 31404: Id : 1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% 1.18/0.60 Statistics :
% 1.18/0.60 Max weight : 43
% 1.18/0.60 Found proof, 0.266612s
% 1.18/0.60 % SZS status Unsatisfiable for theBenchmark.p
% 1.18/0.60 % SZS output start CNFRefutation for theBenchmark.p
% 1.18/0.60 Id : 3, {_}: nand (nand ?6 (nand (nand ?7 ?6) ?6)) (nand ?7 (nand ?8 ?6)) =>= ?7 [8, 7, 6] by sh_1 ?6 ?7 ?8
% 1.18/0.60 Id : 2, {_}: nand (nand ?2 (nand (nand ?3 ?2) ?2)) (nand ?3 (nand ?4 ?2)) =>= ?3 [4, 3, 2] by sh_1 ?2 ?3 ?4
% 1.18/0.60 Id : 5, {_}: nand (nand (nand ?15 ?16) (nand (nand (nand ?16 (nand (nand ?17 ?16) ?16)) (nand ?15 ?16)) (nand ?15 ?16))) ?17 =>= nand ?16 (nand (nand ?17 ?16) ?16) [17, 16, 15] by Super 3 with 2 at 2,2
% 1.18/0.60 Id : 43, {_}: nand (nand ?125 (nand (nand ?126 ?125) ?125)) (nand ?126 (nand ?127 (nand (nand ?125 ?127) ?127))) =>= ?126 [127, 126, 125] by Super 2 with 5 at 2,2,2
% 1.18/0.60 Id : 72, {_}: nand (nand ?213 (nand (nand (nand ?214 (nand (nand ?214 ?214) ?214)) ?213) ?213)) ?214 =>= nand ?214 (nand (nand ?214 ?214) ?214) [214, 213] by Super 43 with 2 at 2,2
% 1.18/0.60 Id : 102, {_}: nand (nand (nand ?270 (nand ?271 ?270)) (nand ?270 (nand ?270 (nand ?271 ?270)))) ?270 =>= nand ?270 (nand (nand ?270 ?270) ?270) [271, 270] by Super 72 with 2 at 1,2,1,2
% 1.18/0.60 Id : 8, {_}: nand (nand ?26 (nand (nand ?27 ?26) ?26)) (nand ?27 (nand ?28 (nand (nand ?26 ?28) ?28))) =>= ?27 [28, 27, 26] by Super 2 with 5 at 2,2,2
% 1.18/0.60 Id : 115, {_}: nand ?313 ?313 =<= nand ?313 (nand (nand ?313 ?313) ?313) [313] by Super 102 with 8 at 1,2
% 1.18/0.60 Id : 156, {_}: nand (nand ?348 ?348) (nand ?348 (nand ?349 ?348)) =>= ?348 [349, 348] by Super 2 with 115 at 1,2
% 1.18/0.60 Id : 47, {_}: nand (nand ?144 (nand (nand (nand ?145 (nand (nand ?145 ?145) ?145)) ?144) ?144)) ?145 =>= nand ?145 (nand (nand ?145 ?145) ?145) [145, 144] by Super 43 with 2 at 2,2
% 1.18/0.60 Id : 142, {_}: nand (nand ?144 (nand (nand (nand ?145 ?145) ?144) ?144)) ?145 =?= nand ?145 (nand (nand ?145 ?145) ?145) [145, 144] by Demod 47 with 115 at 1,1,2,1,2
% 1.18/0.60 Id : 143, {_}: nand (nand ?144 (nand (nand (nand ?145 ?145) ?144) ?144)) ?145 =>= nand ?145 ?145 [145, 144] by Demod 142 with 115 at 3
% 1.18/0.60 Id : 154, {_}: nand (nand ?343 (nand (nand ?343 ?343) ?343)) (nand ?343 ?343) =>= ?343 [343] by Super 2 with 115 at 2,2
% 1.18/0.60 Id : 167, {_}: nand (nand ?343 ?343) (nand ?343 ?343) =>= ?343 [343] by Demod 154 with 115 at 1,2
% 1.18/0.60 Id : 183, {_}: nand (nand ?373 (nand (nand ?374 ?373) ?373)) (nand ?374 ?374) =?= nand (nand ?374 ?374) (nand ?374 ?374) [374, 373] by Super 143 with 167 at 1,1,2,1,2
% 1.18/0.60 Id : 217, {_}: nand (nand ?373 (nand (nand ?374 ?373) ?373)) (nand ?374 ?374) =>= ?374 [374, 373] by Demod 183 with 167 at 3
% 1.18/0.60 Id : 294, {_}: nand (nand (nand ?529 ?529) (nand ?529 (nand ?529 ?529))) (nand (nand ?530 (nand (nand ?529 ?530) ?530)) (nand ?531 (nand ?529 ?529))) =>= nand ?530 (nand (nand ?529 ?530) ?530) [531, 530, 529] by Super 2 with 217 at 1,2,1,2
% 1.18/0.60 Id : 569, {_}: nand ?984 (nand (nand ?985 (nand (nand ?984 ?985) ?985)) (nand ?986 (nand ?984 ?984))) =>= nand ?985 (nand (nand ?984 ?985) ?985) [986, 985, 984] by Demod 294 with 156 at 1,2
% 1.18/0.60 Id : 2180, {_}: nand (nand ?2833 ?2833) (nand (nand ?2834 (nand (nand (nand ?2833 ?2833) ?2834) ?2834)) (nand ?2835 ?2833)) =>= nand ?2834 (nand (nand (nand ?2833 ?2833) ?2834) ?2834) [2835, 2834, 2833] by Super 569 with 167 at 2,2,2,2
% 1.18/0.60 Id : 2223, {_}: nand (nand (nand ?3000 ?3001) (nand ?3000 ?3001)) (nand (nand ?3000 ?3001) (nand ?3000 ?3001)) =?= nand ?3001 (nand (nand (nand (nand ?3000 ?3001) (nand ?3000 ?3001)) ?3001) ?3001) [3001, 3000] by Super 2180 with 2 at 2,2
% 1.18/0.60 Id : 2367, {_}: nand ?3000 ?3001 =<= nand ?3001 (nand (nand (nand (nand ?3000 ?3001) (nand ?3000 ?3001)) ?3001) ?3001) [3001, 3000] by Demod 2223 with 167 at 2
% 1.18/0.60 Id : 2419, {_}: nand (nand ?3156 ?3156) (nand ?3157 ?3156) =>= ?3156 [3157, 3156] by Super 156 with 2367 at 2,2
% 1.18/0.60 Id : 2885, {_}: a === a [] by Demod 1 with 2419 at 2
% 1.18/0.60 Id : 1, {_}: nand (nand a a) (nand b a) =>= a [] by prove_meredith_2_basis_1
% 1.18/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.18/0.60 31407: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.268205 using nrkbo
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