TSTP Solution File: GRP527-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n025.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 10:30:39 EDT 2022
% Result : Unsatisfiable 0.18s 0.46s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n025.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 11:45:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 6667: Facts:
% 0.12/0.33 6667: Id : 2, {_}:
% 0.12/0.33 divide ?2 (divide (divide ?2 ?3) (divide ?4 ?3)) =>= ?4
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 6667: Id : 3, {_}:
% 0.12/0.33 multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7)
% 0.12/0.33 [8, 7, 6] by multiply ?6 ?7 ?8
% 0.12/0.33 6667: Id : 4, {_}:
% 0.12/0.33 inverse ?10 =<= divide (divide ?11 ?11) ?10
% 0.12/0.33 [11, 10] by inverse ?10 ?11
% 0.12/0.33 6667: Goal:
% 0.12/0.33 6667: Id : 1, {_}:
% 0.12/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.33 [] by prove_these_axioms_3
% 0.18/0.46 Statistics :
% 0.18/0.46 Max weight : 20
% 0.18/0.46 Found proof, 0.131255s
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.46 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.46 Id : 5, {_}: divide ?13 (divide (divide ?13 ?14) (divide ?15 ?14)) =>= ?15 [15, 14, 13] by single_axiom ?13 ?14 ?15
% 0.18/0.46 Id : 4, {_}: inverse ?10 =<= divide (divide ?11 ?11) ?10 [11, 10] by inverse ?10 ?11
% 0.18/0.46 Id : 3, {_}: multiply ?6 ?7 =<= divide ?6 (divide (divide ?8 ?8) ?7) [8, 7, 6] by multiply ?6 ?7 ?8
% 0.18/0.46 Id : 2, {_}: divide ?2 (divide (divide ?2 ?3) (divide ?4 ?3)) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.18/0.46 Id : 13, {_}: multiply ?47 (divide ?48 ?47) =>= ?48 [48, 47] by Super 2 with 3 at 2
% 0.18/0.46 Id : 22, {_}: multiply ?6 ?7 =<= divide ?6 (inverse ?7) [7, 6] by Demod 3 with 4 at 2,3
% 0.18/0.47 Id : 56, {_}: divide ?170 (divide (divide ?170 (divide (divide ?171 ?172) (divide ?173 ?172))) ?173) =>= ?171 [173, 172, 171, 170] by Super 5 with 2 at 2,2,2
% 0.18/0.47 Id : 68, {_}: divide ?236 (divide ?237 ?237) =>= ?236 [237, 236] by Super 56 with 2 at 1,2,2
% 0.18/0.47 Id : 91, {_}: multiply (divide ?282 ?282) ?283 =>= ?283 [283, 282] by Super 13 with 68 at 2,2
% 0.18/0.47 Id : 23, {_}: multiply (divide ?75 ?75) ?76 =>= inverse (inverse ?76) [76, 75] by Super 22 with 4 at 3
% 0.18/0.47 Id : 108, {_}: inverse (inverse ?283) =>= ?283 [283] by Demod 91 with 23 at 2
% 0.18/0.47 Id : 116, {_}: multiply ?326 (inverse ?327) =<= divide ?326 ?327 [327, 326] by Super 22 with 108 at 2,3
% 0.18/0.47 Id : 180, {_}: multiply ?47 (multiply ?48 (inverse ?47)) =>= ?48 [48, 47] by Demod 13 with 116 at 2,2
% 0.18/0.47 Id : 89, {_}: divide ?277 (divide ?277 ?278) =>= ?278 [278, 277] by Super 2 with 68 at 2,2
% 0.18/0.47 Id : 195, {_}: multiply ?277 (inverse (divide ?277 ?278)) =>= ?278 [278, 277] by Demod 89 with 116 at 2
% 0.18/0.47 Id : 196, {_}: multiply ?277 (inverse (multiply ?277 (inverse ?278))) =>= ?278 [278, 277] by Demod 195 with 116 at 1,2,2
% 0.18/0.47 Id : 887, {_}: multiply (multiply ?1899 (inverse ?1900)) ?1900 =>= ?1899 [1900, 1899] by Super 180 with 196 at 2,2
% 0.18/0.47 Id : 8, {_}: divide ?27 ?28 =<= divide (divide ?27 (divide ?28 ?29)) ?29 [29, 28, 27] by Super 5 with 2 at 2,2
% 0.18/0.47 Id : 258, {_}: multiply ?27 (inverse ?28) =<= divide (divide ?27 (divide ?28 ?29)) ?29 [29, 28, 27] by Demod 8 with 116 at 2
% 0.18/0.47 Id : 259, {_}: multiply ?27 (inverse ?28) =<= multiply (divide ?27 (divide ?28 ?29)) (inverse ?29) [29, 28, 27] by Demod 258 with 116 at 3
% 0.18/0.47 Id : 260, {_}: multiply ?27 (inverse ?28) =<= multiply (multiply ?27 (inverse (divide ?28 ?29))) (inverse ?29) [29, 28, 27] by Demod 259 with 116 at 1,3
% 0.18/0.47 Id : 261, {_}: multiply ?27 (inverse ?28) =<= multiply (multiply ?27 (inverse (multiply ?28 (inverse ?29)))) (inverse ?29) [29, 28, 27] by Demod 260 with 116 at 1,2,1,3
% 0.18/0.47 Id : 1571, {_}: multiply (multiply ?2942 (inverse ?2943)) ?2944 =>= multiply ?2942 (inverse (multiply ?2943 (inverse ?2944))) [2944, 2943, 2942] by Super 887 with 261 at 1,2
% 0.18/0.47 Id : 1572, {_}: multiply (multiply ?2946 ?2947) ?2948 =>= multiply ?2946 (inverse (multiply (inverse ?2947) (inverse ?2948))) [2948, 2947, 2946] by Super 1571 with 108 at 2,1,2
% 0.18/0.47 Id : 39, {_}: multiply ?111 (divide ?112 ?111) =>= ?112 [112, 111] by Super 2 with 3 at 2
% 0.18/0.47 Id : 473, {_}: multiply (inverse ?1056) (multiply ?1057 ?1056) =>= ?1057 [1057, 1056] by Super 39 with 22 at 2,2
% 0.18/0.47 Id : 42, {_}: multiply (inverse ?121) (multiply ?122 ?121) =>= ?122 [122, 121] by Super 39 with 22 at 2,2
% 0.18/0.47 Id : 1243, {_}: multiply (inverse (multiply ?2588 ?2589)) ?2588 =>= inverse ?2589 [2589, 2588] by Super 473 with 42 at 2,2
% 0.18/0.47 Id : 1247, {_}: multiply (inverse ?2604) ?2605 =>= inverse (multiply ?2604 (inverse ?2605)) [2605, 2604] by Super 1243 with 180 at 1,1,2
% 0.18/0.47 Id : 1643, {_}: multiply (multiply ?2946 ?2947) ?2948 =>= multiply ?2946 (inverse (inverse (multiply ?2947 (inverse (inverse ?2948))))) [2948, 2947, 2946] by Demod 1572 with 1247 at 1,2,3
% 0.18/0.47 Id : 1644, {_}: multiply (multiply ?2946 ?2947) ?2948 =>= multiply ?2946 (multiply ?2947 (inverse (inverse ?2948))) [2948, 2947, 2946] by Demod 1643 with 108 at 2,3
% 0.18/0.47 Id : 1645, {_}: multiply (multiply ?2946 ?2947) ?2948 =>= multiply ?2946 (multiply ?2947 ?2948) [2948, 2947, 2946] by Demod 1644 with 108 at 2,2,3
% 0.18/0.47 Id : 1815, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 1645 at 2
% 0.18/0.47 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.18/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.47 6669: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.132715 using lpo
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