TSTP Solution File: GRP608-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n010.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 10:30:58 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP608-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 10:35:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 13523: Facts:
% 0.12/0.33 13523: Id : 2, {_}:
% 0.12/0.33 double_divide
% 0.12/0.33 (inverse
% 0.12/0.33 (double_divide ?2
% 0.12/0.33 (inverse (double_divide (inverse ?3) (double_divide ?2 ?4)))))
% 0.12/0.33 ?4
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 13523: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.12/0.33 [7, 6] by multiply ?6 ?7
% 0.12/0.33 13523: Goal:
% 0.12/0.33 13523: Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.50 Statistics :
% 0.18/0.50 Max weight : 27
% 0.18/0.50 Found proof, 0.170010s
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.50 Id : 11, {_}: multiply ?30 ?31 =<= inverse (double_divide ?31 ?30) [31, 30] by multiply ?30 ?31
% 0.18/0.50 Id : 4, {_}: double_divide (inverse (double_divide ?9 (inverse (double_divide (inverse ?10) (double_divide ?9 ?11))))) ?11 =>= ?10 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.18/0.50 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.18/0.50 Id : 2, {_}: double_divide (inverse (double_divide ?2 (inverse (double_divide (inverse ?3) (double_divide ?2 ?4))))) ?4 =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.50 Id : 8, {_}: double_divide (multiply (inverse (double_divide (inverse ?3) (double_divide ?2 ?4))) ?2) ?4 =>= ?3 [4, 2, 3] by Demod 2 with 3 at 1,2
% 0.18/0.50 Id : 9, {_}: double_divide (multiply (multiply (double_divide ?2 ?4) (inverse ?3)) ?2) ?4 =>= ?3 [3, 4, 2] by Demod 8 with 3 at 1,1,2
% 0.18/0.50 Id : 6, {_}: double_divide (inverse (double_divide ?18 (inverse ?19))) ?20 =<= double_divide ?21 (inverse (double_divide (inverse ?19) (double_divide ?21 (double_divide ?18 ?20)))) [21, 20, 19, 18] by Super 4 with 2 at 1,2,1,1,2
% 0.18/0.50 Id : 19, {_}: double_divide (multiply (inverse ?19) ?18) ?20 =<= double_divide ?21 (inverse (double_divide (inverse ?19) (double_divide ?21 (double_divide ?18 ?20)))) [21, 20, 18, 19] by Demod 6 with 3 at 1,2
% 0.18/0.50 Id : 20, {_}: double_divide (multiply (inverse ?19) ?18) ?20 =<= double_divide ?21 (multiply (double_divide ?21 (double_divide ?18 ?20)) (inverse ?19)) [21, 20, 18, 19] by Demod 19 with 3 at 2,3
% 0.18/0.50 Id : 23, {_}: multiply (multiply (double_divide ?68 (double_divide ?69 ?70)) (inverse ?71)) ?68 =>= inverse (double_divide (multiply (inverse ?71) ?69) ?70) [71, 70, 69, 68] by Super 3 with 20 at 1,3
% 0.18/0.50 Id : 30, {_}: multiply (multiply (double_divide ?68 (double_divide ?69 ?70)) (inverse ?71)) ?68 =>= multiply ?70 (multiply (inverse ?71) ?69) [71, 70, 69, 68] by Demod 23 with 3 at 3
% 0.18/0.50 Id : 51, {_}: double_divide (multiply ?185 (multiply (inverse ?186) ?187)) (double_divide ?187 ?185) =>= ?186 [187, 186, 185] by Super 9 with 30 at 1,2
% 0.18/0.50 Id : 55, {_}: double_divide (multiply ?205 (multiply (multiply ?206 ?207) ?208)) (double_divide ?208 ?205) =>= double_divide ?207 ?206 [208, 207, 206, 205] by Super 51 with 3 at 1,2,1,2
% 0.18/0.50 Id : 12, {_}: multiply ?33 (multiply (multiply (double_divide ?34 ?33) (inverse ?35)) ?34) =>= inverse ?35 [35, 34, 33] by Super 11 with 9 at 1,3
% 0.18/0.50 Id : 34, {_}: multiply (double_divide ?111 ?112) (multiply ?112 (multiply (inverse ?113) ?111)) =>= inverse ?113 [113, 112, 111] by Super 12 with 30 at 2,2
% 0.18/0.50 Id : 35, {_}: multiply (multiply (double_divide ?115 (double_divide ?116 ?117)) (inverse ?118)) ?115 =>= multiply ?117 (multiply (inverse ?118) ?116) [118, 117, 116, 115] by Demod 23 with 3 at 3
% 0.18/0.50 Id : 39, {_}: multiply (multiply ?139 (inverse ?140)) (multiply (multiply (double_divide ?141 (double_divide ?142 ?143)) (inverse ?139)) ?141) =>= multiply ?143 (multiply (inverse ?140) ?142) [143, 142, 141, 140, 139] by Super 35 with 9 at 1,1,2
% 0.18/0.50 Id : 74, {_}: multiply (multiply ?284 (inverse ?285)) (multiply ?286 (multiply (inverse ?284) ?287)) =>= multiply ?286 (multiply (inverse ?285) ?287) [287, 286, 285, 284] by Demod 39 with 30 at 2,2
% 0.18/0.50 Id : 78, {_}: multiply (multiply ?308 (inverse ?309)) (inverse ?310) =<= multiply (double_divide ?311 (inverse ?308)) (multiply (inverse ?309) (multiply (inverse ?310) ?311)) [311, 310, 309, 308] by Super 74 with 34 at 2,2
% 0.18/0.50 Id : 493, {_}: multiply (multiply ?1975 (inverse ?1975)) (inverse ?1976) =>= inverse ?1976 [1976, 1975] by Super 34 with 78 at 2
% 0.18/0.50 Id : 533, {_}: double_divide (multiply ?2118 (multiply (inverse ?2119) ?2120)) (double_divide ?2120 ?2118) =?= double_divide (inverse ?2119) (multiply ?2121 (inverse ?2121)) [2121, 2120, 2119, 2118] by Super 55 with 493 at 1,2,1,2
% 0.18/0.50 Id : 33, {_}: double_divide (multiply ?107 (multiply (inverse ?108) ?109)) (double_divide ?109 ?107) =>= ?108 [109, 108, 107] by Super 9 with 30 at 1,2
% 0.18/0.50 Id : 572, {_}: ?2212 =<= double_divide (inverse ?2212) (multiply ?2213 (inverse ?2213)) [2213, 2212] by Demod 533 with 33 at 2
% 0.18/0.50 Id : 636, {_}: ?2404 =<= double_divide (inverse ?2404) (inverse (multiply ?2405 (inverse ?2405))) [2405, 2404] by Super 572 with 493 at 2,3
% 0.18/0.50 Id : 640, {_}: double_divide ?2417 ?2418 =<= double_divide (multiply ?2418 ?2417) (inverse (multiply ?2419 (inverse ?2419))) [2419, 2418, 2417] by Super 636 with 3 at 1,3
% 0.18/0.50 Id : 43, {_}: multiply (multiply ?139 (inverse ?140)) (multiply ?143 (multiply (inverse ?139) ?142)) =>= multiply ?143 (multiply (inverse ?140) ?142) [142, 143, 140, 139] by Demod 39 with 30 at 2,2
% 0.18/0.50 Id : 535, {_}: multiply (multiply ?2127 (inverse ?2127)) (inverse ?2128) =>= inverse ?2128 [2128, 2127] by Super 34 with 78 at 2
% 0.18/0.50 Id : 536, {_}: multiply (multiply ?2130 (inverse ?2130)) (multiply ?2131 ?2132) =>= inverse (double_divide ?2132 ?2131) [2132, 2131, 2130] by Super 535 with 3 at 2,2
% 0.18/0.50 Id : 554, {_}: multiply (multiply ?2130 (inverse ?2130)) (multiply ?2131 ?2132) =>= multiply ?2131 ?2132 [2132, 2131, 2130] by Demod 536 with 3 at 3
% 0.18/0.50 Id : 659, {_}: multiply (multiply ?2487 (inverse ?2488)) (multiply (inverse ?2487) ?2489) =?= multiply (multiply ?2490 (inverse ?2490)) (multiply (inverse ?2488) ?2489) [2490, 2489, 2488, 2487] by Super 43 with 554 at 2,2
% 0.18/0.50 Id : 691, {_}: multiply (multiply ?2487 (inverse ?2488)) (multiply (inverse ?2487) ?2489) =>= multiply (inverse ?2488) ?2489 [2489, 2488, 2487] by Demod 659 with 554 at 3
% 0.18/0.50 Id : 1165, {_}: double_divide (multiply (inverse ?3818) ?3819) (multiply ?3818 (inverse ?3820)) =?= double_divide (multiply (inverse ?3820) ?3819) (inverse (multiply ?3821 (inverse ?3821))) [3821, 3820, 3819, 3818] by Super 640 with 691 at 1,3
% 0.18/0.50 Id : 1185, {_}: double_divide (multiply (inverse ?3818) ?3819) (multiply ?3818 (inverse ?3820)) =>= double_divide ?3819 (inverse ?3820) [3820, 3819, 3818] by Demod 1165 with 640 at 3
% 0.18/0.50 Id : 1229, {_}: multiply (double_divide ?3962 (inverse ?3963)) (multiply (multiply ?3964 (inverse ?3963)) (multiply (inverse ?3965) (multiply (inverse ?3964) ?3962))) =>= inverse ?3965 [3965, 3964, 3963, 3962] by Super 34 with 1185 at 1,2
% 0.18/0.50 Id : 1257, {_}: multiply (double_divide ?3962 (inverse ?3963)) (multiply (inverse ?3965) (multiply (inverse ?3963) ?3962)) =>= inverse ?3965 [3965, 3963, 3962] by Demod 1229 with 43 at 2,2
% 0.18/0.50 Id : 1258, {_}: multiply (multiply ?3963 (inverse ?3965)) (inverse ?3963) =>= inverse ?3965 [3965, 3963] by Demod 1257 with 78 at 2
% 0.18/0.50 Id : 1293, {_}: double_divide (inverse ?4144) (multiply ?4144 (inverse ?4145)) =?= double_divide (inverse ?4145) (inverse (multiply ?4146 (inverse ?4146))) [4146, 4145, 4144] by Super 640 with 1258 at 1,3
% 0.18/0.50 Id : 574, {_}: ?2219 =<= double_divide (inverse ?2219) (inverse (multiply ?2220 (inverse ?2220))) [2220, 2219] by Super 572 with 493 at 2,3
% 0.18/0.50 Id : 1308, {_}: double_divide (inverse ?4144) (multiply ?4144 (inverse ?4145)) =>= ?4145 [4145, 4144] by Demod 1293 with 574 at 3
% 0.18/0.50 Id : 1295, {_}: multiply (multiply ?4152 (inverse ?4153)) (inverse ?4152) =>= inverse ?4153 [4153, 4152] by Demod 1257 with 78 at 2
% 0.18/0.50 Id : 1305, {_}: multiply (inverse ?4190) (inverse (multiply ?4191 (inverse ?4190))) =>= inverse ?4191 [4191, 4190] by Super 1295 with 1258 at 1,2
% 0.18/0.50 Id : 1505, {_}: double_divide (inverse (inverse ?4724)) (inverse ?4725) =>= multiply ?4725 (inverse ?4724) [4725, 4724] by Super 1308 with 1305 at 2,2
% 0.18/0.50 Id : 1507, {_}: double_divide (inverse (multiply ?4731 ?4732)) (inverse ?4733) =>= multiply ?4733 (inverse (double_divide ?4732 ?4731)) [4733, 4732, 4731] by Super 1505 with 3 at 1,1,2
% 0.18/0.50 Id : 1519, {_}: double_divide (inverse (multiply ?4731 ?4732)) (inverse ?4733) =>= multiply ?4733 (multiply ?4731 ?4732) [4733, 4732, 4731] by Demod 1507 with 3 at 2,3
% 0.18/0.50 Id : 575, {_}: double_divide ?2222 ?2223 =<= double_divide (multiply ?2223 ?2222) (multiply ?2224 (inverse ?2224)) [2224, 2223, 2222] by Super 572 with 3 at 1,3
% 0.18/0.50 Id : 541, {_}: ?2119 =<= double_divide (inverse ?2119) (multiply ?2121 (inverse ?2121)) [2121, 2119] by Demod 533 with 33 at 2
% 0.18/0.50 Id : 1506, {_}: double_divide (inverse (inverse ?4727)) (multiply ?4728 ?4729) =>= multiply (double_divide ?4729 ?4728) (inverse ?4727) [4729, 4728, 4727] by Super 1505 with 3 at 2,2
% 0.18/0.50 Id : 1638, {_}: inverse ?5021 =<= multiply (double_divide (inverse ?5022) ?5022) (inverse ?5021) [5022, 5021] by Super 541 with 1506 at 3
% 0.18/0.50 Id : 2091, {_}: double_divide (multiply (inverse ?6040) (inverse ?6041)) ?6041 =>= ?6040 [6041, 6040] by Super 9 with 1638 at 1,1,2
% 0.18/0.50 Id : 2196, {_}: double_divide (inverse (multiply ?6172 (inverse ?6172))) (inverse ?6173) =>= ?6173 [6173, 6172] by Super 575 with 2091 at 3
% 0.18/0.50 Id : 2249, {_}: multiply ?6173 (multiply ?6172 (inverse ?6172)) =>= ?6173 [6172, 6173] by Demod 2196 with 1519 at 2
% 0.18/0.50 Id : 2303, {_}: double_divide (inverse ?6514) (inverse ?6515) =<= multiply ?6515 (multiply ?6514 (multiply ?6516 (inverse ?6516))) [6516, 6515, 6514] by Super 1519 with 2249 at 1,1,2
% 0.18/0.50 Id : 2321, {_}: double_divide (inverse ?6514) (inverse ?6515) =>= multiply ?6515 ?6514 [6515, 6514] by Demod 2303 with 2249 at 2,3
% 0.18/0.50 Id : 2108, {_}: double_divide (inverse (double_divide (inverse ?6108) ?6108)) (inverse ?6109) =>= ?6109 [6109, 6108] by Super 1308 with 1638 at 2,2
% 0.18/0.50 Id : 2131, {_}: double_divide (multiply ?6108 (inverse ?6108)) (inverse ?6109) =>= ?6109 [6109, 6108] by Demod 2108 with 3 at 1,2
% 0.18/0.51 Id : 2606, {_}: multiply ?7187 (multiply (inverse ?7187) (multiply (inverse ?7188) (multiply ?7189 (inverse ?7189)))) =>= inverse ?7188 [7189, 7188, 7187] by Super 34 with 2131 at 1,2
% 0.18/0.51 Id : 2625, {_}: multiply ?7187 (multiply (inverse ?7187) (inverse ?7188)) =>= inverse ?7188 [7188, 7187] by Demod 2606 with 2249 at 2,2,2
% 0.18/0.51 Id : 1565, {_}: multiply (inverse ?4913) (inverse (inverse ?4914)) =>= inverse (multiply ?4913 (inverse ?4914)) [4914, 4913] by Super 1258 with 1305 at 1,2
% 0.18/0.51 Id : 1566, {_}: multiply (inverse ?4916) (inverse (multiply ?4917 ?4918)) =>= inverse (multiply ?4916 (inverse (double_divide ?4918 ?4917))) [4918, 4917, 4916] by Super 1565 with 3 at 1,2,2
% 0.18/0.51 Id : 1617, {_}: multiply (inverse ?4916) (inverse (multiply ?4917 ?4918)) =>= inverse (multiply ?4916 (multiply ?4917 ?4918)) [4918, 4917, 4916] by Demod 1566 with 3 at 2,1,3
% 0.18/0.51 Id : 2304, {_}: multiply (inverse ?6518) (inverse ?6519) =<= inverse (multiply ?6518 (multiply ?6519 (multiply ?6520 (inverse ?6520)))) [6520, 6519, 6518] by Super 1617 with 2249 at 1,2,2
% 0.18/0.51 Id : 2320, {_}: multiply (inverse ?6518) (inverse ?6519) =>= inverse (multiply ?6518 ?6519) [6519, 6518] by Demod 2304 with 2249 at 2,1,3
% 0.18/0.51 Id : 2687, {_}: multiply ?7402 (inverse (multiply ?7402 ?7403)) =>= inverse ?7403 [7403, 7402] by Demod 2625 with 2320 at 2,2
% 0.18/0.51 Id : 2217, {_}: double_divide (multiply (inverse ?6271) (inverse ?6272)) ?6272 =>= ?6271 [6272, 6271] by Super 9 with 1638 at 1,1,2
% 0.18/0.51 Id : 1927, {_}: inverse (multiply ?4190 (multiply ?4191 (inverse ?4190))) =>= inverse ?4191 [4191, 4190] by Demod 1305 with 1617 at 2
% 0.18/0.51 Id : 2222, {_}: double_divide (multiply (inverse ?6290) (inverse ?6291)) ?6291 =?= multiply ?6292 (multiply ?6290 (inverse ?6292)) [6292, 6291, 6290] by Super 2217 with 1927 at 1,1,2
% 0.18/0.51 Id : 2253, {_}: ?6290 =<= multiply ?6292 (multiply ?6290 (inverse ?6292)) [6292, 6290] by Demod 2222 with 2091 at 2
% 0.18/0.51 Id : 2704, {_}: multiply ?7471 (inverse ?7472) =<= inverse (multiply ?7472 (inverse ?7471)) [7472, 7471] by Super 2687 with 2253 at 1,2,2
% 0.18/0.51 Id : 2626, {_}: multiply ?7187 (inverse (multiply ?7187 ?7188)) =>= inverse ?7188 [7188, 7187] by Demod 2625 with 2320 at 2,2
% 0.18/0.51 Id : 2898, {_}: multiply ?7781 (multiply ?7782 (inverse ?7781)) =>= inverse (inverse ?7782) [7782, 7781] by Super 2626 with 2704 at 2,2
% 0.18/0.51 Id : 2982, {_}: ?7782 =<= inverse (inverse ?7782) [7782] by Demod 2898 with 2253 at 2
% 0.18/0.51 Id : 2999, {_}: double_divide ?4727 (multiply ?4728 ?4729) =<= multiply (double_divide ?4729 ?4728) (inverse ?4727) [4729, 4728, 4727] by Demod 1506 with 2982 at 1,2
% 0.18/0.51 Id : 3005, {_}: inverse ?5021 =<= double_divide ?5021 (multiply ?5022 (inverse ?5022)) [5022, 5021] by Demod 1638 with 2999 at 3
% 0.18/0.51 Id : 3007, {_}: double_divide ?2222 ?2223 =<= inverse (multiply ?2223 ?2222) [2223, 2222] by Demod 575 with 3005 at 3
% 0.18/0.51 Id : 3011, {_}: multiply ?7471 (inverse ?7472) =<= double_divide (inverse ?7471) ?7472 [7472, 7471] by Demod 2704 with 3007 at 3
% 0.18/0.51 Id : 3014, {_}: multiply ?6514 (inverse (inverse ?6515)) =>= multiply ?6515 ?6514 [6515, 6514] by Demod 2321 with 3011 at 2
% 0.18/0.51 Id : 3015, {_}: multiply ?6514 ?6515 =?= multiply ?6515 ?6514 [6515, 6514] by Demod 3014 with 2982 at 2,2
% 0.18/0.51 Id : 3094, {_}: multiply a b === multiply a b [] by Demod 1 with 3015 at 3
% 0.18/0.51 Id : 1, {_}: multiply a b =<= multiply b a [] by prove_these_axioms_4
% 0.18/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.51 13526: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.173457 using nrkbo
%------------------------------------------------------------------------------