TSTP Solution File: GRP535-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP535-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n008.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 10:30:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP535-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n008.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 00:37:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 23986: Facts:
% 0.12/0.34 23986: Id : 2, {_}:
% 0.12/0.34 divide (divide ?2 (divide (divide ?2 ?3) ?4)) ?3 =>= ?4
% 0.12/0.34 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.34 23986: Id : 3, {_}:
% 0.12/0.34 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.34 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.34 23986: Id : 4, {_}:
% 0.12/0.34 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.34 [11, 10] by inverse ?10 ?11
% 0.12/0.34 23986: Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.12/0.34 23986: Goal:
% 0.12/0.34 23986: 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
% 0.19/0.49 Statistics :
% 0.19/0.49 Max weight : 20
% 0.19/0.49 Found proof, 0.151601s
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.49 Id : 5, {_}: identity =<= divide ?13 ?13 [13] by identity ?13
% 0.19/0.49 Id : 6, {_}: divide (divide ?15 (divide (divide ?15 ?16) ?17)) ?16 =>= ?17 [17, 16, 15] by single_axiom ?15 ?16 ?17
% 0.19/0.49 Id : 2, {_}: divide (divide ?2 (divide (divide ?2 ?3) ?4)) ?3 =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.19/0.49 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.19/0.49 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.19/0.49 Id : 22, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.19/0.49 Id : 10, {_}: divide (divide ?30 (divide (multiply ?30 ?31) ?32)) (divide (divide ?33 ?33) ?31) =>= ?32 [33, 32, 31, 30] by Super 2 with 3 at 1,2,1,2
% 0.19/0.49 Id : 550, {_}: multiply (divide ?915 (divide (multiply ?915 ?916) ?917)) ?916 =>= ?917 [917, 916, 915] by Demod 10 with 3 at 2
% 0.19/0.49 Id : 52, {_}: divide (divide (divide ?133 (divide (divide ?133 ?134) ?135)) (divide ?135 ?136)) ?134 =>= ?136 [136, 135, 134, 133] by Super 6 with 2 at 1,2,1,2
% 0.19/0.49 Id : 68, {_}: divide ?214 (divide ?214 ?215) =>= ?215 [215, 214] by Super 52 with 2 at 1,2
% 0.19/0.49 Id : 968, {_}: multiply (divide ?1608 ?1609) ?1610 =<= divide (multiply ?1608 ?1610) ?1609 [1610, 1609, 1608] by Super 550 with 68 at 2,1,2
% 0.19/0.49 Id : 130, {_}: divide (divide ?312 ?313) (divide (divide ?312 ?314) ?313) =>= ?314 [314, 313, 312] by Super 6 with 2 at 2,1,2
% 0.19/0.49 Id : 134, {_}: divide (divide ?332 ?333) (divide identity ?333) =>= ?332 [333, 332] by Super 130 with 5 at 1,2,2
% 0.19/0.49 Id : 35, {_}: inverse ?10 =<= divide identity ?10 [10] by Demod 4 with 5 at 1,3
% 0.19/0.49 Id : 153, {_}: divide (divide ?332 ?333) (inverse ?333) =>= ?332 [333, 332] by Demod 134 with 35 at 2,2
% 0.19/0.49 Id : 773, {_}: multiply (divide ?1272 ?1273) ?1273 =>= ?1272 [1273, 1272] by Demod 153 with 22 at 2
% 0.19/0.49 Id : 69, {_}: divide identity ?217 =<= divide (divide ?218 ?217) ?218 [218, 217] by Super 52 with 5 at 1,2
% 0.19/0.49 Id : 79, {_}: inverse ?217 =<= divide (divide ?218 ?217) ?218 [218, 217] by Demod 69 with 35 at 2
% 0.19/0.49 Id : 783, {_}: multiply (inverse ?1305) ?1306 =>= divide ?1306 ?1305 [1306, 1305] by Super 773 with 79 at 1,2
% 0.19/0.49 Id : 972, {_}: multiply (divide (inverse ?1623) ?1624) ?1625 =>= divide (divide ?1625 ?1623) ?1624 [1625, 1624, 1623] by Super 968 with 783 at 1,3
% 0.19/0.49 Id : 597, {_}: inverse ?1020 =<= divide (divide ?1021 ?1020) ?1021 [1021, 1020] by Demod 69 with 35 at 2
% 0.19/0.49 Id : 643, {_}: inverse (divide ?1085 ?1086) =>= divide ?1086 ?1085 [1086, 1085] by Super 597 with 68 at 1,3
% 0.19/0.49 Id : 651, {_}: inverse (multiply ?1113 ?1114) =<= divide (inverse ?1114) ?1113 [1114, 1113] by Super 643 with 22 at 1,2
% 0.19/0.49 Id : 1020, {_}: multiply (inverse (multiply ?1624 ?1623)) ?1625 =>= divide (divide ?1625 ?1623) ?1624 [1625, 1623, 1624] by Demod 972 with 651 at 1,2
% 0.19/0.49 Id : 1021, {_}: divide ?1625 (multiply ?1624 ?1623) =<= divide (divide ?1625 ?1623) ?1624 [1623, 1624, 1625] by Demod 1020 with 783 at 2
% 0.19/0.49 Id : 1365, {_}: multiply (divide ?2164 ?2165) ?2166 =<= divide ?2164 (multiply (inverse ?2166) ?2165) [2166, 2165, 2164] by Super 22 with 1021 at 3
% 0.19/0.49 Id : 1399, {_}: multiply (divide ?2164 ?2165) ?2166 =<= divide ?2164 (divide ?2165 ?2166) [2166, 2165, 2164] by Demod 1365 with 783 at 2,3
% 0.19/0.49 Id : 23, {_}: multiply (divide ?70 ?70) ?71 =>= inverse (inverse ?71) [71, 70] by Super 22 with 4 at 3
% 0.19/0.49 Id : 450, {_}: multiply identity ?71 =>= inverse (inverse ?71) [71] by Demod 23 with 5 at 1,2
% 0.19/0.49 Id : 36, {_}: inverse identity =>= identity [] by Super 35 with 5 at 3
% 0.19/0.49 Id : 46, {_}: multiply ?113 identity =<= divide ?113 identity [113] by Super 22 with 36 at 2,3
% 0.19/0.49 Id : 7, {_}: divide (divide (divide ?19 (divide (divide ?19 ?20) ?21)) (divide ?21 ?22)) ?20 =>= ?22 [22, 21, 20, 19] by Super 6 with 2 at 1,2,1,2
% 0.19/0.49 Id : 39, {_}: divide (divide ?104 identity) ?105 =>= divide ?104 ?105 [105, 104] by Super 2 with 5 at 2,1,2
% 0.19/0.49 Id : 183, {_}: divide (multiply ?104 identity) ?105 =>= divide ?104 ?105 [105, 104] by Demod 39 with 46 at 1,2
% 0.19/0.49 Id : 189, {_}: identity =<= divide ?428 (multiply ?428 identity) [428] by Super 5 with 183 at 3
% 0.19/0.49 Id : 349, {_}: divide (divide (divide ?665 (divide (divide ?665 ?666) ?667)) identity) ?666 =>= multiply ?667 identity [667, 666, 665] by Super 7 with 189 at 2,1,2
% 0.19/0.49 Id : 363, {_}: divide (multiply (divide ?665 (divide (divide ?665 ?666) ?667)) identity) ?666 =>= multiply ?667 identity [667, 666, 665] by Demod 349 with 46 at 1,2
% 0.19/0.49 Id : 364, {_}: divide (divide ?665 (divide (divide ?665 ?666) ?667)) ?666 =>= multiply ?667 identity [667, 666, 665] by Demod 363 with 183 at 2
% 0.19/0.49 Id : 365, {_}: ?667 =<= multiply ?667 identity [667] by Demod 364 with 2 at 2
% 0.19/0.49 Id : 399, {_}: ?113 =<= divide ?113 identity [113] by Demod 46 with 365 at 2
% 0.19/0.49 Id : 12, {_}: divide (multiply ?40 ?41) ?40 =>= ?41 [41, 40] by Super 2 with 3 at 1,2
% 0.19/0.49 Id : 426, {_}: multiply identity ?737 =>= ?737 [737] by Super 399 with 12 at 3
% 0.19/0.49 Id : 451, {_}: ?71 =<= inverse (inverse ?71) [71] by Demod 450 with 426 at 2
% 0.19/0.49 Id : 453, {_}: multiply ?767 (inverse ?768) =>= divide ?767 ?768 [768, 767] by Super 22 with 451 at 2,3
% 0.19/0.49 Id : 602, {_}: inverse (divide ?1039 ?1040) =>= divide ?1040 ?1039 [1040, 1039] by Super 597 with 68 at 1,3
% 0.19/0.49 Id : 639, {_}: multiply ?1071 (divide ?1072 ?1073) =<= divide ?1071 (divide ?1073 ?1072) [1073, 1072, 1071] by Super 453 with 602 at 2,2
% 0.19/0.49 Id : 1467, {_}: multiply (divide ?2320 ?2321) ?2322 =>= multiply ?2320 (divide ?2322 ?2321) [2322, 2321, 2320] by Demod 1399 with 639 at 3
% 0.19/0.49 Id : 1471, {_}: multiply (multiply ?2336 ?2337) ?2338 =<= multiply ?2336 (divide ?2338 (inverse ?2337)) [2338, 2337, 2336] by Super 1467 with 22 at 1,2
% 0.19/0.49 Id : 1513, {_}: multiply (multiply ?2336 ?2337) ?2338 =>= multiply ?2336 (multiply ?2338 ?2337) [2338, 2337, 2336] by Demod 1471 with 22 at 2,3
% 0.19/0.49 Id : 777, {_}: multiply ?1288 ?1289 =?= multiply ?1289 ?1288 [1289, 1288] by Super 773 with 12 at 1,2
% 0.19/0.49 Id : 2510, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 2340 with 777 at 2,2
% 0.19/0.49 Id : 2340, {_}: multiply a3 (multiply c3 b3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 1513 at 2
% 0.19/0.49 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.19/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.49 23987: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.153098 using kbo
%------------------------------------------------------------------------------