TSTP Solution File: GRP660-10 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP660-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : 600s
% DateTime : Sat Jul 16 10:31:25 EDT 2022
% Result : Unsatisfiable 3.06s 1.11s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP660-10 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %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 : 600
% 0.12/0.34 % DateTime : Tue Jun 14 05:51:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 25024: Facts:
% 0.12/0.34 25024: Id : 2, {_}: mult ?3 (ld ?3 ?4) =>= ?4 [4, 3] by f01 ?3 ?4
% 0.12/0.34 25024: Id : 3, {_}: ld ?6 (mult ?6 ?7) =>= ?7 [7, 6] by f02 ?6 ?7
% 0.12/0.34 25024: Id : 4, {_}: mult (rd ?9 ?10) ?10 =>= ?9 [10, 9] by f03 ?9 ?10
% 0.12/0.34 25024: Id : 5, {_}: rd (mult ?12 ?13) ?13 =>= ?12 [13, 12] by f04 ?12 ?13
% 0.12/0.34 25024: Id : 6, {_}:
% 0.12/0.34 mult (mult (mult ?15 ?16) ?17) ?15
% 0.12/0.34 =?=
% 0.12/0.34 mult ?15 (mult ?16 (mult ?17 ?15))
% 0.12/0.34 [17, 16, 15] by f05 ?15 ?16 ?17
% 0.12/0.34 25024: Goal:
% 0.12/0.34 25024: Id : 1, {_}:
% 0.12/0.34 tuple (mult ?1 (x1 ?1)) (mult (x1_2 ?1) ?1)
% 0.12/0.34 =>=
% 0.12/0.34 tuple (x1 ?1) (x1_2 ?1)
% 0.12/0.34 [1] by goal ?1
% 3.06/1.11 Goal subsumed
% 3.06/1.11 Statistics :
% 3.06/1.11 Max weight : 28
% 3.06/1.11 Found proof, 0.766374s
% 3.06/1.11 % SZS status Unsatisfiable for theBenchmark.p
% 3.06/1.11 % SZS output start CNFRefutation for theBenchmark.p
% 3.06/1.11 Id : 17, {_}: rd (mult ?46 ?47) ?47 =>= ?46 [47, 46] by f04 ?46 ?47
% 3.06/1.11 Id : 3, {_}: ld ?6 (mult ?6 ?7) =>= ?7 [7, 6] by f02 ?6 ?7
% 3.06/1.11 Id : 6, {_}: mult (mult (mult ?15 ?16) ?17) ?15 =>= mult ?15 (mult ?16 (mult ?17 ?15)) [17, 16, 15] by f05 ?15 ?16 ?17
% 3.06/1.11 Id : 5, {_}: rd (mult ?12 ?13) ?13 =>= ?12 [13, 12] by f04 ?12 ?13
% 3.06/1.11 Id : 4, {_}: mult (rd ?9 ?10) ?10 =>= ?9 [10, 9] by f03 ?9 ?10
% 3.06/1.11 Id : 2, {_}: mult ?3 (ld ?3 ?4) =>= ?4 [4, 3] by f01 ?3 ?4
% 3.06/1.11 Id : 23, {_}: mult (mult (mult ?65 ?66) ?67) ?65 =>= mult ?65 (mult ?66 (mult ?67 ?65)) [67, 66, 65] by f05 ?65 ?66 ?67
% 3.06/1.11 Id : 105, {_}: mult (mult ?351 ?352) ?353 =<= mult ?353 (mult (ld ?353 ?351) (mult ?352 ?353)) [353, 352, 351] by Super 23 with 2 at 1,1,2
% 3.06/1.11 Id : 107, {_}: mult (mult ?359 (rd ?360 ?361)) ?361 =>= mult ?361 (mult (ld ?361 ?359) ?360) [361, 360, 359] by Super 105 with 4 at 2,2,3
% 3.06/1.11 Id : 46, {_}: rd (mult ?130 (mult ?131 (mult ?132 ?130))) ?130 =>= mult (mult ?130 ?131) ?132 [132, 131, 130] by Super 5 with 6 at 1,2
% 3.06/1.11 Id : 50, {_}: rd (mult ?147 ?148) ?147 =<= mult (mult ?147 (rd ?148 (mult ?149 ?147))) ?149 [149, 148, 147] by Super 46 with 4 at 2,1,2
% 3.06/1.11 Id : 283, {_}: rd (rd (mult ?889 ?890) ?889) ?891 =<= mult ?889 (rd ?890 (mult ?891 ?889)) [891, 890, 889] by Super 5 with 50 at 1,2
% 3.06/1.11 Id : 1087, {_}: rd (rd (mult ?3022 ?3023) ?3022) (rd ?3024 ?3022) =>= mult ?3022 (rd ?3023 ?3024) [3024, 3023, 3022] by Super 283 with 4 at 2,2,3
% 3.06/1.11 Id : 1095, {_}: rd (rd ?3057 ?3058) (rd ?3059 ?3058) =<= mult ?3058 (rd (ld ?3058 ?3057) ?3059) [3059, 3058, 3057] by Super 1087 with 2 at 1,1,2
% 3.06/1.11 Id : 1137, {_}: mult (rd (rd ?3196 ?3197) (rd ?3198 ?3197)) ?3198 =>= mult ?3198 (mult (ld ?3198 ?3197) (ld ?3197 ?3196)) [3198, 3197, 3196] by Super 107 with 1095 at 1,2
% 3.06/1.11 Id : 13, {_}: ld (rd ?35 ?36) ?35 =>= ?36 [36, 35] by Super 3 with 4 at 2,2
% 3.06/1.11 Id : 78, {_}: rd (mult ?253 (mult ?254 ?255)) ?253 =<= mult (mult ?253 ?254) (rd ?255 ?253) [255, 254, 253] by Super 46 with 4 at 2,2,1,2
% 3.06/1.11 Id : 82, {_}: rd (mult ?270 (mult (ld ?270 ?271) ?272)) ?270 =>= mult ?271 (rd ?272 ?270) [272, 271, 270] by Super 78 with 2 at 1,3
% 3.06/1.11 Id : 237, {_}: rd (rd (mult ?738 ?739) ?738) ?740 =<= mult ?738 (rd ?739 (mult ?740 ?738)) [740, 739, 738] by Super 5 with 50 at 1,2
% 3.06/1.11 Id : 558, {_}: ld ?1647 (rd (rd (mult ?1647 ?1648) ?1647) ?1649) =>= rd ?1648 (mult ?1649 ?1647) [1649, 1648, 1647] by Super 3 with 237 at 2,2
% 3.06/1.11 Id : 585, {_}: ld ?1748 (rd ?1748 ?1749) =>= rd ?1748 (mult ?1749 ?1748) [1749, 1748] by Super 558 with 5 at 1,2,2
% 3.06/1.11 Id : 18, {_}: rd ?49 (ld ?50 ?49) =>= ?50 [50, 49] by Super 17 with 2 at 1,2
% 3.06/1.11 Id : 587, {_}: ld ?1754 ?1755 =<= rd ?1754 (mult (ld ?1755 ?1754) ?1754) [1755, 1754] by Super 585 with 18 at 2,2
% 3.06/1.11 Id : 700, {_}: ld (ld ?2061 ?2062) ?2061 =<= mult (ld ?2062 ?2061) ?2061 [2062, 2061] by Super 13 with 587 at 1,2
% 3.06/1.11 Id : 748, {_}: rd (mult ?2183 (ld (ld ?2184 ?2183) ?2184)) ?2183 =>= mult ?2184 (rd ?2184 ?2183) [2184, 2183] by Super 82 with 700 at 2,1,2
% 3.06/1.11 Id : 775, {_}: rd (ld (ld ?2252 ?2253) ?2252) ?2252 =>= ld ?2253 ?2252 [2253, 2252] by Super 5 with 700 at 1,2
% 3.06/1.11 Id : 776, {_}: rd (ld ?2255 ?2256) ?2256 =<= ld (mult ?2256 ?2255) ?2256 [2256, 2255] by Super 775 with 3 at 1,1,2
% 3.06/1.11 Id : 838, {_}: rd ?2399 (rd (ld ?2400 ?2399) ?2399) =>= mult ?2399 ?2400 [2400, 2399] by Super 18 with 776 at 2,2
% 3.06/1.11 Id : 840, {_}: rd ?2405 (rd ?2406 ?2405) =<= mult ?2405 (rd ?2405 ?2406) [2406, 2405] by Super 838 with 13 at 1,2,2
% 3.06/1.11 Id : 2993, {_}: rd (mult ?8044 (ld (ld ?8045 ?8044) ?8045)) ?8044 =>= rd ?8045 (rd ?8044 ?8045) [8045, 8044] by Demod 748 with 840 at 3
% 3.06/1.11 Id : 8514, {_}: rd (mult ?21489 (ld ?21490 (rd ?21489 ?21490))) ?21489 =>= rd (rd ?21489 ?21490) (rd ?21489 (rd ?21489 ?21490)) [21490, 21489] by Super 2993 with 13 at 1,2,1,2
% 3.06/1.11 Id : 8547, {_}: rd (rd ?21601 ?21601) ?21601 =<= rd (rd ?21601 ?21601) (rd ?21601 (rd ?21601 ?21601)) [21601] by Super 8514 with 2 at 1,2
% 3.06/1.11 Id : 11386, {_}: ld (rd (rd ?30067 ?30067) ?30067) (rd ?30067 ?30067) =>= rd ?30067 (rd ?30067 ?30067) [30067] by Super 13 with 8547 at 1,2
% 3.06/1.11 Id : 11475, {_}: ?30067 =<= rd ?30067 (rd ?30067 ?30067) [30067] by Demod 11386 with 13 at 2
% 3.06/1.11 Id : 11551, {_}: ld ?30270 ?30270 =>= rd ?30270 ?30270 [30270] by Super 13 with 11475 at 1,2
% 3.06/1.11 Id : 559, {_}: ld ?1651 (rd (rd ?1652 ?1651) ?1653) =>= rd (ld ?1651 ?1652) (mult ?1653 ?1651) [1653, 1652, 1651] by Super 558 with 2 at 1,1,2,2
% 3.06/1.11 Id : 11555, {_}: ld (rd ?30280 ?30280) (rd ?30280 ?30281) =<= rd (ld (rd ?30280 ?30280) ?30280) (mult ?30281 (rd ?30280 ?30280)) [30281, 30280] by Super 559 with 11475 at 1,2,2
% 3.06/1.11 Id : 11609, {_}: ld (rd ?30280 ?30280) (rd ?30280 ?30281) =>= rd ?30280 (mult ?30281 (rd ?30280 ?30280)) [30281, 30280] by Demod 11555 with 13 at 1,3
% 3.06/1.11 Id : 12202, {_}: rd ?31263 (mult ?31263 (rd ?31263 ?31263)) =<= rd (rd ?31263 ?31263) (rd ?31263 ?31263) [31263] by Super 11551 with 11609 at 2
% 3.06/1.11 Id : 12241, {_}: rd ?31263 (rd ?31263 (rd ?31263 ?31263)) =<= rd (rd ?31263 ?31263) (rd ?31263 ?31263) [31263] by Demod 12202 with 840 at 2,2
% 3.06/1.11 Id : 12242, {_}: rd ?31263 ?31263 =<= rd (rd ?31263 ?31263) (rd ?31263 ?31263) [31263] by Demod 12241 with 11475 at 2,2
% 3.06/1.11 Id : 14059, {_}: mult (rd (rd ?34968 (rd ?34969 ?34969)) (rd ?34969 ?34969)) (rd ?34969 ?34969) =<= mult (rd ?34969 ?34969) (mult (ld (rd ?34969 ?34969) (rd ?34969 ?34969)) (ld (rd ?34969 ?34969) ?34968)) [34969, 34968] by Super 1137 with 12242 at 2,1,2
% 3.06/1.11 Id : 14157, {_}: rd ?34968 (rd ?34969 ?34969) =<= mult (rd ?34969 ?34969) (mult (ld (rd ?34969 ?34969) (rd ?34969 ?34969)) (ld (rd ?34969 ?34969) ?34968)) [34969, 34968] by Demod 14059 with 4 at 2
% 3.06/1.11 Id : 14158, {_}: rd ?34968 (rd ?34969 ?34969) =<= mult (rd ?34969 ?34969) (mult (rd (rd ?34969 ?34969) (rd ?34969 ?34969)) (ld (rd ?34969 ?34969) ?34968)) [34969, 34968] by Demod 14157 with 11551 at 1,2,3
% 3.06/1.11 Id : 14159, {_}: rd ?34968 (rd ?34969 ?34969) =<= mult (rd ?34969 ?34969) (mult (rd ?34969 ?34969) (ld (rd ?34969 ?34969) ?34968)) [34969, 34968] by Demod 14158 with 12242 at 1,2,3
% 3.06/1.11 Id : 14160, {_}: rd ?34968 (rd ?34969 ?34969) =<= mult (rd ?34969 ?34969) ?34968 [34969, 34968] by Demod 14159 with 2 at 2,3
% 3.06/1.11 Id : 24, {_}: mult (mult ?69 ?70) ?71 =<= mult ?71 (mult (ld ?71 ?69) (mult ?70 ?71)) [71, 70, 69] by Super 23 with 2 at 1,1,2
% 3.06/1.11 Id : 99, {_}: ld ?325 (mult (mult ?326 ?327) ?325) =<= mult (ld ?325 ?326) (mult ?327 ?325) [327, 326, 325] by Super 3 with 24 at 2,2
% 3.06/1.11 Id : 11696, {_}: ld ?30440 (mult (mult ?30440 ?30441) ?30440) =<= mult (rd ?30440 ?30440) (mult ?30441 ?30440) [30441, 30440] by Super 99 with 11551 at 1,3
% 3.06/1.11 Id : 14291, {_}: ld ?30440 (mult (mult ?30440 ?30441) ?30440) =>= rd (mult ?30441 ?30440) (rd ?30440 ?30440) [30441, 30440] by Demod 11696 with 14160 at 3
% 3.06/1.11 Id : 14296, {_}: ld (rd ?35053 ?35053) (mult (rd ?35054 (rd ?35053 ?35053)) (rd ?35053 ?35053)) =>= rd (mult ?35054 (rd ?35053 ?35053)) (rd (rd ?35053 ?35053) (rd ?35053 ?35053)) [35054, 35053] by Super 14291 with 14160 at 1,2,2
% 3.06/1.11 Id : 14609, {_}: ld (rd ?35053 ?35053) ?35054 =<= rd (mult ?35054 (rd ?35053 ?35053)) (rd (rd ?35053 ?35053) (rd ?35053 ?35053)) [35054, 35053] by Demod 14296 with 4 at 2,2
% 3.06/1.11 Id : 14610, {_}: ld (rd ?35053 ?35053) ?35054 =<= rd (mult ?35054 (rd ?35053 ?35053)) (rd ?35053 ?35053) [35054, 35053] by Demod 14609 with 12242 at 2,3
% 3.06/1.11 Id : 14611, {_}: ld (rd ?35053 ?35053) ?35054 =>= ?35054 [35054, 35053] by Demod 14610 with 5 at 3
% 3.06/1.11 Id : 14895, {_}: mult (rd ?35894 ?35894) ?35895 =>= ?35895 [35895, 35894] by Super 3 with 14611 at 2
% 3.06/1.11 Id : 14991, {_}: rd ?35895 (rd ?35894 ?35894) =>= ?35895 [35894, 35895] by Demod 14895 with 14160 at 2
% 3.06/1.11 Id : 15511, {_}: ?34968 =<= mult (rd ?34969 ?34969) ?34968 [34969, 34968] by Demod 14160 with 14991 at 2
% 3.06/1.11 Id : 750, {_}: ld (ld ?2189 ?2190) ?2189 =<= mult (ld ?2190 ?2189) ?2189 [2190, 2189] by Super 13 with 587 at 1,2
% 3.06/1.11 Id : 751, {_}: ld (ld (mult ?2192 ?2193) ?2192) (mult ?2192 ?2193) =>= mult ?2193 (mult ?2192 ?2193) [2193, 2192] by Super 750 with 3 at 1,3
% 3.06/1.11 Id : 3132, {_}: ld (rd (ld ?2193 ?2192) ?2192) (mult ?2192 ?2193) =>= mult ?2193 (mult ?2192 ?2193) [2192, 2193] by Demod 751 with 776 at 1,2
% 3.06/1.11 Id : 14907, {_}: ld (rd ?35938 ?35938) (mult ?35938 (rd ?35939 ?35939)) =?= mult (rd ?35939 ?35939) (mult ?35938 (rd ?35939 ?35939)) [35939, 35938] by Super 3132 with 14611 at 1,1,2
% 3.06/1.11 Id : 14977, {_}: mult ?35938 (rd ?35939 ?35939) =<= mult (rd ?35939 ?35939) (mult ?35938 (rd ?35939 ?35939)) [35939, 35938] by Demod 14907 with 14611 at 2
% 3.06/1.11 Id : 14978, {_}: mult ?35938 (rd ?35939 ?35939) =<= rd (mult ?35938 (rd ?35939 ?35939)) (rd ?35939 ?35939) [35939, 35938] by Demod 14977 with 14160 at 3
% 3.06/1.11 Id : 14979, {_}: mult ?35938 (rd ?35939 ?35939) =>= ?35938 [35939, 35938] by Demod 14978 with 5 at 3
% 3.06/1.11 Id : 15924, {_}: tuple (x1 (rd ?37111 ?37111)) (x1_2 (rd ?37111 ?37111)) === tuple (x1 (rd ?37111 ?37111)) (x1_2 (rd ?37111 ?37111)) [37111] by Super 15923 with 14979 at 2,2
% 3.06/1.11 Id : 15923, {_}: tuple (x1 (rd ?37109 ?37109)) (mult (x1_2 (rd ?37109 ?37109)) (rd ?37109 ?37109)) =>= tuple (x1 (rd ?37109 ?37109)) (x1_2 (rd ?37109 ?37109)) [37109] by Super 1 with 15511 at 1,2
% 3.06/1.11 Id : 1, {_}: tuple (mult ?1 (x1 ?1)) (mult (x1_2 ?1) ?1) =>= tuple (x1 ?1) (x1_2 ?1) [1] by goal ?1
% 3.06/1.11 % SZS output end CNFRefutation for theBenchmark.p
% 3.06/1.11 25025: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.769482 using kbo
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