TSTP Solution File: GRP551-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP551-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n003.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 10:30:45 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP551-1 : 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 : n003.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 19:15:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 19405: Facts:
% 0.12/0.34 19405: Id : 2, {_}:
% 0.12/0.34 divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3)
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 19405: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide identity ?7)
% 0.12/0.34 [7, 6] by multiply ?6 ?7
% 0.12/0.34 19405: Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.12/0.34 19405: Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.12/0.34 19405: Goal:
% 0.12/0.34 19405: 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
% 0.19/0.54 Statistics :
% 0.19/0.54 Max weight : 18
% 0.19/0.54 Found proof, 0.201246s
% 0.19/0.54 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.54 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.54 Id : 6, {_}: divide (divide identity ?13) (divide (divide (divide ?14 ?13) ?15) ?14) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.19/0.54 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide identity ?7) [7, 6] by multiply ?6 ?7
% 0.19/0.54 Id : 5, {_}: identity =<= divide ?11 ?11 [11] by identity ?11
% 0.19/0.54 Id : 4, {_}: inverse ?9 =<= divide identity ?9 [9] by inverse ?9
% 0.19/0.54 Id : 2, {_}: divide (divide identity ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.54 Id : 20, {_}: divide (inverse ?2) (divide (divide (divide ?3 ?2) ?4) ?3) =>= ?4 [4, 3, 2] by Demod 2 with 4 at 1,2
% 0.19/0.54 Id : 27, {_}: divide (inverse ?67) (divide identity ?68) =>= divide ?68 ?67 [68, 67] by Super 20 with 5 at 1,2,2
% 0.19/0.54 Id : 35, {_}: divide (inverse ?67) (inverse ?68) =>= divide ?68 ?67 [68, 67] by Demod 27 with 4 at 2,2
% 0.19/0.54 Id : 19, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.54 Id : 36, {_}: multiply (inverse ?67) ?68 =>= divide ?68 ?67 [68, 67] by Demod 35 with 19 at 2
% 0.19/0.54 Id : 8, {_}: divide (divide identity ?22) (divide ?23 identity) =<= divide (divide (divide ?24 ?22) ?23) ?24 [24, 23, 22] by Super 6 with 2 at 1,2,2
% 0.19/0.54 Id : 88, {_}: divide (inverse ?22) (divide ?23 identity) =<= divide (divide (divide ?24 ?22) ?23) ?24 [24, 23, 22] by Demod 8 with 4 at 1,2
% 0.19/0.54 Id : 89, {_}: divide (inverse ?2) (divide (inverse ?2) (divide ?4 identity)) =>= ?4 [4, 2] by Demod 20 with 88 at 2,2
% 0.19/0.54 Id : 29, {_}: inverse identity =>= identity [] by Super 4 with 5 at 3
% 0.19/0.54 Id : 37, {_}: multiply ?79 identity =<= divide ?79 identity [79] by Super 19 with 29 at 2,3
% 0.19/0.54 Id : 115, {_}: divide (inverse ?2) (divide (inverse ?2) (multiply ?4 identity)) =>= ?4 [4, 2] by Demod 89 with 37 at 2,2,2
% 0.19/0.54 Id : 171, {_}: multiply (inverse ?291) ?292 =>= divide ?292 ?291 [292, 291] by Demod 35 with 19 at 2
% 0.19/0.54 Id : 172, {_}: multiply identity ?294 =<= divide ?294 identity [294] by Super 171 with 29 at 1,2
% 0.19/0.54 Id : 21, {_}: multiply identity ?53 =>= inverse (inverse ?53) [53] by Super 19 with 4 at 3
% 0.19/0.54 Id : 180, {_}: inverse (inverse ?294) =<= divide ?294 identity [294] by Demod 172 with 21 at 2
% 0.19/0.54 Id : 181, {_}: inverse (inverse ?294) =<= multiply ?294 identity [294] by Demod 180 with 37 at 3
% 0.19/0.54 Id : 221, {_}: divide (inverse ?2) (divide (inverse ?2) (inverse (inverse ?4))) =>= ?4 [4, 2] by Demod 115 with 181 at 2,2,2
% 0.19/0.54 Id : 222, {_}: divide (inverse ?2) (multiply (inverse ?2) (inverse ?4)) =>= ?4 [4, 2] by Demod 221 with 19 at 2,2
% 0.19/0.54 Id : 223, {_}: divide (inverse ?2) (divide (inverse ?4) ?2) =>= ?4 [4, 2] by Demod 222 with 36 at 2,2
% 0.19/0.54 Id : 230, {_}: inverse (inverse (inverse ?361)) =>= divide identity ?361 [361] by Super 36 with 181 at 2
% 0.19/0.54 Id : 239, {_}: inverse (inverse (inverse ?361)) =>= inverse ?361 [361] by Demod 230 with 4 at 3
% 0.19/0.54 Id : 256, {_}: divide (inverse ?377) (divide (inverse ?378) ?377) =>= inverse (inverse ?378) [378, 377] by Super 223 with 239 at 1,2,2
% 0.19/0.54 Id : 271, {_}: ?378 =<= inverse (inverse ?378) [378] by Demod 256 with 223 at 2
% 0.19/0.54 Id : 284, {_}: multiply ?416 ?417 =<= divide ?417 (inverse ?416) [417, 416] by Super 36 with 271 at 1,2
% 0.19/0.54 Id : 291, {_}: multiply ?416 ?417 =?= multiply ?417 ?416 [417, 416] by Demod 284 with 19 at 3
% 0.19/0.54 Id : 10, {_}: divide (divide identity (divide identity ?28)) (divide (divide (multiply ?29 ?28) ?30) ?29) =>= ?30 [30, 29, 28] by Super 2 with 3 at 1,1,2,2
% 0.19/0.54 Id : 17, {_}: divide (multiply identity ?28) (divide (divide (multiply ?29 ?28) ?30) ?29) =>= ?30 [30, 29, 28] by Demod 10 with 3 at 1,2
% 0.19/0.54 Id : 278, {_}: multiply identity ?53 =>= ?53 [53] by Demod 21 with 271 at 3
% 0.19/0.54 Id : 682, {_}: divide ?1005 (divide (divide (multiply ?1006 ?1005) ?1007) ?1006) =>= ?1007 [1007, 1006, 1005] by Demod 17 with 278 at 1,2
% 0.19/0.54 Id : 170, {_}: divide (inverse ?288) (divide (inverse ?288) (divide identity ?289)) =>= inverse ?289 [289, 288] by Super 115 with 36 at 2,2,2
% 0.19/0.54 Id : 174, {_}: divide (inverse ?288) (divide (inverse ?288) (inverse ?289)) =>= inverse ?289 [289, 288] by Demod 170 with 4 at 2,2,2
% 0.19/0.54 Id : 175, {_}: divide (inverse ?288) (multiply (inverse ?288) ?289) =>= inverse ?289 [289, 288] by Demod 174 with 19 at 2,2
% 0.19/0.54 Id : 555, {_}: divide (inverse ?831) (divide ?832 ?831) =>= inverse ?832 [832, 831] by Demod 175 with 36 at 2,2
% 0.19/0.54 Id : 282, {_}: divide ?409 (divide (inverse ?410) (inverse ?409)) =>= ?410 [410, 409] by Super 223 with 271 at 1,2
% 0.19/0.54 Id : 293, {_}: divide ?409 (multiply (inverse ?410) ?409) =>= ?410 [410, 409] by Demod 282 with 19 at 2,2
% 0.19/0.54 Id : 469, {_}: divide ?698 (divide ?698 ?699) =>= ?699 [699, 698] by Demod 293 with 36 at 2,2
% 0.19/0.54 Id : 478, {_}: divide ?726 (multiply ?726 ?727) =>= inverse ?727 [727, 726] by Super 469 with 19 at 2,2
% 0.19/0.54 Id : 562, {_}: divide (inverse (multiply ?855 ?856)) (inverse ?856) =>= inverse ?855 [856, 855] by Super 555 with 478 at 2,2
% 0.19/0.54 Id : 95, {_}: divide (inverse ?202) (divide ?203 identity) =<= divide (divide (divide ?204 ?202) ?203) ?204 [204, 203, 202] by Demod 8 with 4 at 1,2
% 0.19/0.54 Id : 99, {_}: divide (inverse ?218) (divide ?219 identity) =>= divide (divide identity ?219) ?218 [219, 218] by Super 95 with 5 at 1,1,3
% 0.19/0.54 Id : 111, {_}: divide (inverse ?218) (divide ?219 identity) =>= divide (inverse ?219) ?218 [219, 218] by Demod 99 with 4 at 1,3
% 0.19/0.54 Id : 218, {_}: inverse (inverse ?79) =<= divide ?79 identity [79] by Demod 37 with 181 at 2
% 0.19/0.54 Id : 279, {_}: ?79 =<= divide ?79 identity [79] by Demod 218 with 271 at 2
% 0.19/0.54 Id : 373, {_}: divide (inverse ?218) ?219 =?= divide (inverse ?219) ?218 [219, 218] by Demod 111 with 279 at 2,2
% 0.19/0.54 Id : 602, {_}: divide (inverse (inverse ?856)) (multiply ?855 ?856) =>= inverse ?855 [855, 856] by Demod 562 with 373 at 2
% 0.19/0.54 Id : 603, {_}: divide ?856 (multiply ?855 ?856) =>= inverse ?855 [855, 856] by Demod 602 with 271 at 1,2
% 0.19/0.54 Id : 689, {_}: divide ?1031 (divide (inverse ?1032) ?1033) =>= multiply ?1032 (multiply ?1033 ?1031) [1033, 1032, 1031] by Super 682 with 603 at 1,2,2
% 0.19/0.54 Id : 294, {_}: divide ?409 (divide ?409 ?410) =>= ?410 [410, 409] by Demod 293 with 36 at 2,2
% 0.19/0.54 Id : 749, {_}: divide ?1120 (divide ?1121 ?1122) =<= divide (multiply ?1122 ?1120) ?1121 [1122, 1121, 1120] by Super 682 with 294 at 1,2,2
% 0.19/0.54 Id : 280, {_}: ?294 =<= multiply ?294 identity [294] by Demod 181 with 271 at 2
% 0.19/0.54 Id : 753, {_}: divide identity (divide ?1135 ?1136) =>= divide ?1136 ?1135 [1136, 1135] by Super 749 with 280 at 1,3
% 0.19/0.54 Id : 782, {_}: inverse (divide ?1135 ?1136) =>= divide ?1136 ?1135 [1136, 1135] by Demod 753 with 4 at 2
% 0.19/0.54 Id : 806, {_}: multiply (divide ?1176 ?1177) ?1178 =<= divide ?1178 (divide ?1177 ?1176) [1178, 1177, 1176] by Super 36 with 782 at 1,2
% 0.19/0.54 Id : 807, {_}: multiply ?1180 (divide ?1181 ?1182) =<= divide ?1180 (divide ?1182 ?1181) [1182, 1181, 1180] by Super 19 with 782 at 2,3
% 0.19/0.54 Id : 1287, {_}: multiply ?1180 (divide ?1181 ?1182) =?= multiply (divide ?1181 ?1182) ?1180 [1182, 1181, 1180] by Demod 807 with 806 at 3
% 0.19/0.54 Id : 750, {_}: divide ?1124 (divide ?1125 (inverse ?1126)) =>= divide (divide ?1124 ?1126) ?1125 [1126, 1125, 1124] by Super 749 with 36 at 1,3
% 0.19/0.54 Id : 780, {_}: divide ?1124 (multiply ?1125 ?1126) =<= divide (divide ?1124 ?1126) ?1125 [1126, 1125, 1124] by Demod 750 with 19 at 2,2
% 0.19/0.54 Id : 1066, {_}: multiply (divide ?1451 ?1452) ?1453 =<= divide ?1451 (multiply (inverse ?1453) ?1452) [1453, 1452, 1451] by Super 19 with 780 at 3
% 0.19/0.54 Id : 1096, {_}: multiply (divide ?1451 ?1452) ?1453 =<= divide ?1451 (divide ?1452 ?1453) [1453, 1452, 1451] by Demod 1066 with 36 at 2,3
% 0.19/0.54 Id : 1573, {_}: multiply (divide ?1451 ?1452) ?1453 =?= multiply (divide ?1453 ?1452) ?1451 [1453, 1452, 1451] by Demod 1096 with 806 at 3
% 0.19/0.54 Id : 1578, {_}: multiply ?2297 (divide ?2298 ?2299) =<= multiply (divide ?2297 ?2299) ?2298 [2299, 2298, 2297] by Super 1287 with 1573 at 3
% 0.19/0.54 Id : 1725, {_}: multiply ?1176 (divide ?1178 ?1177) =<= divide ?1178 (divide ?1177 ?1176) [1177, 1178, 1176] by Demod 806 with 1578 at 2
% 0.19/0.54 Id : 2716, {_}: multiply ?1033 (divide ?1031 (inverse ?1032)) =>= multiply ?1032 (multiply ?1033 ?1031) [1032, 1031, 1033] by Demod 689 with 1725 at 2
% 0.19/0.54 Id : 2717, {_}: multiply ?1033 (multiply ?1031 ?1032) =?= multiply ?1032 (multiply ?1033 ?1031) [1032, 1031, 1033] by Demod 2716 with 19 at 2,2
% 0.19/0.54 Id : 3157, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 3156 with 2717 at 2
% 0.19/0.54 Id : 3156, {_}: multiply b3 (multiply c3 a3) =>= multiply a3 (multiply b3 c3) [] by Demod 3155 with 2717 at 2
% 0.19/0.54 Id : 3155, {_}: multiply c3 (multiply a3 b3) =>= multiply a3 (multiply b3 c3) [] by Demod 1 with 291 at 2
% 0.19/0.54 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.54 19406: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.203857 using kbo
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