TSTP Solution File: GRP511-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 10:30:35 EDT 2022
% Result : Unsatisfiable 13.65s 3.82s
% Output : CNFRefutation 13.65s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP511-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n015.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 : Tue Jun 14 01:43:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 13799: Facts:
% 0.12/0.34 13799: Id : 2, {_}:
% 0.12/0.34 multiply (multiply (multiply ?2 ?3) ?4) (inverse (multiply ?2 ?4))
% 0.12/0.34 =>=
% 0.12/0.34 ?3
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 13799: Goal:
% 0.12/0.34 13799: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 13.65/3.82 Statistics :
% 13.65/3.82 Max weight : 25
% 13.65/3.82 Found proof, 3.480528s
% 13.65/3.82 % SZS status Unsatisfiable for theBenchmark.p
% 13.65/3.82 % SZS output start CNFRefutation for theBenchmark.p
% 13.65/3.82 Id : 2, {_}: multiply (multiply (multiply ?2 ?3) ?4) (inverse (multiply ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 13.65/3.82 Id : 3, {_}: multiply (multiply (multiply ?6 ?7) ?8) (inverse (multiply ?6 ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 13.65/3.82 Id : 6, {_}: multiply ?20 (inverse (multiply (multiply ?21 ?20) (inverse (multiply ?21 ?22)))) =>= ?22 [22, 21, 20] by Super 3 with 2 at 1,2
% 13.65/3.82 Id : 22, {_}: multiply (multiply (multiply (multiply (multiply ?96 ?97) ?98) ?99) (inverse (multiply ?96 ?98))) (inverse ?97) =>= ?99 [99, 98, 97, 96] by Super 3 with 2 at 1,2,2
% 13.65/3.82 Id : 4, {_}: multiply (multiply (multiply (multiply (multiply ?10 ?11) ?12) ?13) (inverse (multiply ?10 ?12))) (inverse ?11) =>= ?13 [13, 12, 11, 10] by Super 3 with 2 at 1,2,2
% 13.65/3.82 Id : 33, {_}: multiply (multiply ?160 (inverse (multiply (multiply (multiply ?161 ?162) ?163) (inverse (multiply ?161 ?163))))) (inverse ?160) =>= inverse ?162 [163, 162, 161, 160] by Super 22 with 4 at 1,1,2
% 13.65/3.82 Id : 47, {_}: multiply (multiply ?212 (inverse ?213)) (inverse ?212) =>= inverse ?213 [213, 212] by Demod 33 with 2 at 1,2,1,2
% 13.65/3.82 Id : 36, {_}: multiply (multiply ?160 (inverse ?162)) (inverse ?160) =>= inverse ?162 [162, 160] by Demod 33 with 2 at 1,2,1,2
% 13.65/3.82 Id : 51, {_}: multiply (inverse ?228) (inverse (multiply ?229 (inverse ?228))) =>= inverse ?229 [229, 228] by Super 47 with 36 at 1,2
% 13.65/3.82 Id : 219, {_}: inverse (multiply ?964 (inverse (multiply ?964 ?965))) =>= ?965 [965, 964] by Super 6 with 51 at 2
% 13.65/3.82 Id : 253, {_}: inverse (inverse (inverse ?1048)) =>= inverse ?1048 [1048] by Super 219 with 51 at 1,2
% 13.65/3.82 Id : 111, {_}: inverse (multiply ?501 (inverse (multiply ?501 ?502))) =>= ?502 [502, 501] by Super 6 with 51 at 2
% 13.65/3.82 Id : 254, {_}: inverse (inverse ?1050) =<= inverse (multiply ?1051 (inverse (multiply ?1051 ?1050))) [1051, 1050] by Super 253 with 111 at 1,1,2
% 13.65/3.82 Id : 269, {_}: inverse (inverse ?1050) =>= ?1050 [1050] by Demod 254 with 111 at 3
% 13.65/3.82 Id : 227, {_}: inverse (multiply (inverse ?996) (inverse (inverse ?997))) =>= inverse (multiply ?997 (inverse ?996)) [997, 996] by Super 219 with 51 at 1,2,1,2
% 13.65/3.82 Id : 112, {_}: multiply (inverse ?504) (inverse (inverse ?505)) =>= inverse (multiply ?504 (inverse ?505)) [505, 504] by Super 36 with 51 at 1,2
% 13.65/3.82 Id : 239, {_}: inverse (inverse (multiply ?996 (inverse ?997))) =>= inverse (multiply ?997 (inverse ?996)) [997, 996] by Demod 227 with 112 at 1,2
% 13.65/3.82 Id : 512, {_}: multiply ?996 (inverse ?997) =<= inverse (multiply ?997 (inverse ?996)) [997, 996] by Demod 239 with 269 at 2
% 13.65/3.82 Id : 271, {_}: multiply (inverse ?504) ?505 =<= inverse (multiply ?504 (inverse ?505)) [505, 504] by Demod 112 with 269 at 2,2
% 13.65/3.82 Id : 513, {_}: multiply ?996 (inverse ?997) =?= multiply (inverse ?997) ?996 [997, 996] by Demod 512 with 271 at 3
% 13.65/3.82 Id : 518, {_}: multiply (inverse ?11) (multiply (multiply (multiply (multiply ?10 ?11) ?12) ?13) (inverse (multiply ?10 ?12))) =>= ?13 [13, 12, 10, 11] by Demod 4 with 513 at 2
% 13.65/3.82 Id : 519, {_}: multiply (inverse ?11) (multiply (inverse (multiply ?10 ?12)) (multiply (multiply (multiply ?10 ?11) ?12) ?13)) =>= ?13 [13, 12, 10, 11] by Demod 518 with 513 at 2,2
% 13.65/3.82 Id : 41, {_}: multiply (inverse ?189) (inverse (multiply ?190 (inverse ?190))) =>= inverse ?189 [190, 189] by Super 2 with 36 at 1,2
% 13.65/3.82 Id : 274, {_}: multiply (inverse ?189) (multiply (inverse ?190) ?190) =>= inverse ?189 [190, 189] by Demod 41 with 271 at 2,2
% 13.65/3.82 Id : 279, {_}: multiply ?1065 (multiply (inverse ?1066) ?1066) =>= inverse (inverse ?1065) [1066, 1065] by Super 274 with 269 at 1,2
% 13.65/3.82 Id : 293, {_}: multiply ?1065 (multiply (inverse ?1066) ?1066) =>= ?1065 [1066, 1065] by Demod 279 with 269 at 3
% 13.65/3.82 Id : 1128, {_}: multiply ?1065 (multiply ?1066 (inverse ?1066)) =>= ?1065 [1066, 1065] by Demod 293 with 513 at 2,2
% 13.65/3.82 Id : 1163, {_}: multiply (inverse ?3419) (inverse (multiply ?3420 ?3421)) =>= inverse (multiply (multiply ?3420 ?3419) ?3421) [3421, 3420, 3419] by Super 519 with 1128 at 2,2
% 13.65/3.82 Id : 203, {_}: multiply (inverse ?894) (inverse ?895) =<= inverse (multiply ?894 (inverse (multiply ?896 (inverse (multiply ?896 ?895))))) [896, 895, 894] by Super 112 with 111 at 1,2,2
% 13.65/3.82 Id : 237, {_}: multiply (inverse ?894) (inverse ?895) =>= inverse (multiply ?894 ?895) [895, 894] by Demod 203 with 111 at 2,1,3
% 13.65/3.82 Id : 1199, {_}: inverse (multiply ?3419 (multiply ?3420 ?3421)) =<= inverse (multiply (multiply ?3420 ?3419) ?3421) [3421, 3420, 3419] by Demod 1163 with 237 at 2
% 13.65/3.82 Id : 1830, {_}: inverse (inverse (multiply ?4730 (multiply ?4731 ?4732))) =>= multiply (multiply ?4731 ?4730) ?4732 [4732, 4731, 4730] by Super 269 with 1199 at 1,2
% 13.65/3.82 Id : 1883, {_}: multiply ?4730 (multiply ?4731 ?4732) =<= multiply (multiply ?4731 ?4730) ?4732 [4732, 4731, 4730] by Demod 1830 with 269 at 2
% 13.65/3.82 Id : 9, {_}: multiply (multiply ?31 ?32) (inverse (multiply ?33 ?32)) =?= inverse (multiply (multiply ?34 ?33) (inverse (multiply ?34 ?31))) [34, 33, 32, 31] by Super 2 with 6 at 1,1,2
% 13.65/3.82 Id : 294, {_}: multiply (multiply ?31 ?32) (inverse (multiply ?33 ?32)) =?= multiply (inverse (multiply ?34 ?33)) (multiply ?34 ?31) [34, 33, 32, 31] by Demod 9 with 271 at 3
% 13.65/3.82 Id : 215, {_}: multiply (inverse (multiply ?946 ?947)) ?947 =>= inverse ?946 [947, 946] by Super 51 with 111 at 2,2
% 13.65/3.82 Id : 657, {_}: multiply ?947 (inverse (multiply ?946 ?947)) =>= inverse ?946 [946, 947] by Demod 215 with 513 at 2
% 13.65/3.82 Id : 664, {_}: multiply (multiply ?2213 ?2214) (inverse (multiply (inverse (multiply ?2215 ?2216)) ?2214)) =>= multiply (inverse (inverse ?2215)) (multiply ?2216 ?2213) [2216, 2215, 2214, 2213] by Super 294 with 657 at 1,1,3
% 13.65/3.82 Id : 287, {_}: inverse (inverse ?1093) =>= ?1093 [1093] by Demod 254 with 111 at 3
% 13.65/3.82 Id : 289, {_}: inverse (multiply (inverse ?1097) ?1098) =>= multiply ?1097 (inverse ?1098) [1098, 1097] by Super 287 with 271 at 1,2
% 13.65/3.82 Id : 725, {_}: multiply (multiply ?2213 ?2214) (multiply (multiply ?2215 ?2216) (inverse ?2214)) =>= multiply (inverse (inverse ?2215)) (multiply ?2216 ?2213) [2216, 2215, 2214, 2213] by Demod 664 with 289 at 2,2
% 13.65/3.82 Id : 726, {_}: multiply (multiply ?2213 ?2214) (multiply (multiply ?2215 ?2216) (inverse ?2214)) =>= multiply ?2215 (multiply ?2216 ?2213) [2216, 2215, 2214, 2213] by Demod 725 with 269 at 1,3
% 13.65/3.82 Id : 337, {_}: multiply (multiply ?1347 ?1348) (inverse (multiply ?1349 ?1348)) =?= multiply (inverse (multiply ?1350 ?1349)) (multiply ?1350 ?1347) [1350, 1349, 1348, 1347] by Demod 9 with 271 at 3
% 13.65/3.82 Id : 272, {_}: multiply (inverse ?501) (multiply ?501 ?502) =>= ?502 [502, 501] by Demod 111 with 271 at 2
% 13.65/3.82 Id : 342, {_}: multiply (multiply (multiply ?1377 ?1378) ?1379) (inverse (multiply ?1380 ?1379)) =>= multiply (inverse (multiply (inverse ?1377) ?1380)) ?1378 [1380, 1379, 1378, 1377] by Super 337 with 272 at 2,3
% 13.65/3.82 Id : 37209, {_}: multiply ?1379 (multiply (multiply ?1377 ?1378) (inverse (multiply ?1380 ?1379))) =>= multiply (inverse (multiply (inverse ?1377) ?1380)) ?1378 [1380, 1378, 1377, 1379] by Demod 342 with 1883 at 2
% 13.65/3.82 Id : 37210, {_}: multiply ?1379 (multiply (multiply ?1377 ?1378) (inverse (multiply ?1380 ?1379))) =>= multiply (multiply ?1377 (inverse ?1380)) ?1378 [1380, 1378, 1377, 1379] by Demod 37209 with 289 at 1,3
% 13.65/3.82 Id : 298, {_}: multiply (multiply ?1116 ?1117) (inverse (multiply ?1118 ?1117)) =>= inverse (multiply (inverse ?1116) ?1118) [1118, 1117, 1116] by Super 274 with 294 at 2
% 13.65/3.82 Id : 4688, {_}: multiply ?1117 (multiply ?1116 (inverse (multiply ?1118 ?1117))) =>= inverse (multiply (inverse ?1116) ?1118) [1118, 1116, 1117] by Demod 298 with 1883 at 2
% 13.65/3.82 Id : 4689, {_}: multiply ?1117 (multiply ?1116 (inverse (multiply ?1118 ?1117))) =>= multiply ?1116 (inverse ?1118) [1118, 1116, 1117] by Demod 4688 with 289 at 3
% 13.65/3.82 Id : 37211, {_}: multiply (multiply ?1377 ?1378) (inverse ?1380) =?= multiply (multiply ?1377 (inverse ?1380)) ?1378 [1380, 1378, 1377] by Demod 37210 with 4689 at 2
% 13.65/3.82 Id : 37212, {_}: multiply (multiply ?1377 ?1378) (inverse ?1380) =?= multiply (inverse ?1380) (multiply ?1377 ?1378) [1380, 1378, 1377] by Demod 37211 with 1883 at 3
% 13.65/3.82 Id : 37213, {_}: multiply ?1378 (multiply ?1377 (inverse ?1380)) =?= multiply (inverse ?1380) (multiply ?1377 ?1378) [1380, 1377, 1378] by Demod 37212 with 1883 at 2
% 13.65/3.82 Id : 38880, {_}: multiply (inverse ?2214) (multiply (multiply ?2215 ?2216) (multiply ?2213 ?2214)) =>= multiply ?2215 (multiply ?2216 ?2213) [2213, 2216, 2215, 2214] by Demod 726 with 37213 at 2
% 13.65/3.82 Id : 275, {_}: multiply (inverse ?228) (multiply (inverse ?229) ?228) =>= inverse ?229 [229, 228] by Demod 51 with 271 at 2,2
% 13.65/3.82 Id : 285, {_}: multiply (inverse ?1087) (multiply ?1088 ?1087) =>= inverse (inverse ?1088) [1088, 1087] by Super 275 with 269 at 1,2,2
% 13.65/3.82 Id : 291, {_}: multiply (inverse ?1087) (multiply ?1088 ?1087) =>= ?1088 [1088, 1087] by Demod 285 with 269 at 3
% 13.65/3.82 Id : 1980, {_}: multiply (inverse ?5025) (multiply ?5026 (multiply ?5027 ?5025)) =>= multiply ?5027 ?5026 [5027, 5026, 5025] by Super 291 with 1883 at 2,2
% 13.65/3.82 Id : 38881, {_}: multiply ?2213 (multiply ?2215 ?2216) =?= multiply ?2215 (multiply ?2216 ?2213) [2216, 2215, 2213] by Demod 38880 with 1980 at 2
% 13.65/3.82 Id : 548, {_}: multiply (inverse (inverse ?2007)) ?2008 =<= inverse (multiply (inverse ?2008) (inverse ?2007)) [2008, 2007] by Super 271 with 513 at 1,3
% 13.65/3.82 Id : 612, {_}: multiply ?2007 ?2008 =<= inverse (multiply (inverse ?2008) (inverse ?2007)) [2008, 2007] by Demod 548 with 269 at 1,2
% 13.65/3.82 Id : 613, {_}: multiply ?2007 ?2008 =<= multiply ?2008 (inverse (inverse ?2007)) [2008, 2007] by Demod 612 with 289 at 3
% 13.65/3.82 Id : 614, {_}: multiply ?2007 ?2008 =?= multiply ?2008 ?2007 [2008, 2007] by Demod 613 with 269 at 2,3
% 13.65/3.82 Id : 39709, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 39708 with 614 at 2,2
% 13.65/3.82 Id : 39708, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 3863 with 38881 at 2
% 13.65/3.82 Id : 3863, {_}: multiply b3 (multiply a3 c3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 1883 at 2
% 13.65/3.82 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 13.65/3.82 % SZS output end CNFRefutation for theBenchmark.p
% 13.65/3.82 13800: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.485261 using kbo
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