TSTP Solution File: GRP595-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n026.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 10:30:55 EDT 2022
% Result : Unsatisfiable 0.22s 0.45s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 12:12:50 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 7666: Facts:
% 0.15/0.36 7666: Id : 2, {_}:
% 0.15/0.36 inverse
% 0.15/0.36 (double_divide (double_divide ?2 ?3)
% 0.15/0.36 (inverse (double_divide ?2 (inverse (double_divide ?4 ?3)))))
% 0.15/0.36 =>=
% 0.15/0.36 ?4
% 0.15/0.36 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.15/0.36 7666: Id : 3, {_}:
% 0.15/0.36 multiply ?6 ?7 =<= inverse (double_divide ?7 ?6)
% 0.15/0.36 [7, 6] by multiply ?6 ?7
% 0.15/0.36 7666: Goal:
% 0.15/0.36 7666: Id : 1, {_}:
% 0.15/0.36 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.15/0.36 [] by prove_these_axioms_3
% 0.22/0.45 Statistics :
% 0.22/0.45 Max weight : 22
% 0.22/0.45 Found proof, 0.092660s
% 0.22/0.45 % SZS status Unsatisfiable for theBenchmark.p
% 0.22/0.45 % SZS output start CNFRefutation for theBenchmark.p
% 0.22/0.45 Id : 3, {_}: multiply ?6 ?7 =<= inverse (double_divide ?7 ?6) [7, 6] by multiply ?6 ?7
% 0.22/0.45 Id : 2, {_}: inverse (double_divide (double_divide ?2 ?3) (inverse (double_divide ?2 (inverse (double_divide ?4 ?3))))) =>= ?4 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.22/0.45 Id : 4, {_}: inverse (double_divide (double_divide ?9 ?10) (inverse (double_divide ?9 (inverse (double_divide ?11 ?10))))) =>= ?11 [11, 10, 9] by single_axiom ?9 ?10 ?11
% 0.22/0.45 Id : 6, {_}: inverse (double_divide (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) ?20) =>= ?18 [20, 19, 18] by Super 4 with 2 at 2,1,2
% 0.22/0.45 Id : 27, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (inverse (double_divide ?20 ?19))) =>= ?18 [19, 18, 20] by Demod 6 with 3 at 2
% 0.22/0.45 Id : 28, {_}: multiply ?20 (double_divide (double_divide ?18 ?19) (multiply ?19 ?20)) =>= ?18 [19, 18, 20] by Demod 27 with 3 at 2,2,2
% 0.22/0.45 Id : 5, {_}: inverse (double_divide (double_divide ?13 (inverse (double_divide ?14 (inverse (double_divide ?15 ?16))))) (inverse (double_divide ?13 ?15))) =>= double_divide ?14 ?16 [16, 15, 14, 13] by Super 4 with 2 at 2,1,2,1,2
% 0.22/0.45 Id : 13, {_}: multiply (inverse (double_divide ?13 ?15)) (double_divide ?13 (inverse (double_divide ?14 (inverse (double_divide ?15 ?16))))) =>= double_divide ?14 ?16 [16, 14, 15, 13] by Demod 5 with 3 at 2
% 0.22/0.45 Id : 14, {_}: multiply (multiply ?15 ?13) (double_divide ?13 (inverse (double_divide ?14 (inverse (double_divide ?15 ?16))))) =>= double_divide ?14 ?16 [16, 14, 13, 15] by Demod 13 with 3 at 1,2
% 0.22/0.45 Id : 15, {_}: multiply (multiply ?15 ?13) (double_divide ?13 (multiply (inverse (double_divide ?15 ?16)) ?14)) =>= double_divide ?14 ?16 [14, 16, 13, 15] by Demod 14 with 3 at 2,2,2
% 0.22/0.45 Id : 19, {_}: multiply (multiply ?41 ?42) (double_divide ?42 (multiply (multiply ?43 ?41) ?44)) =>= double_divide ?44 ?43 [44, 43, 42, 41] by Demod 15 with 3 at 1,2,2,2
% 0.22/0.45 Id : 8, {_}: multiply (inverse (double_divide ?2 (inverse (double_divide ?4 ?3)))) (double_divide ?2 ?3) =>= ?4 [3, 4, 2] by Demod 2 with 3 at 2
% 0.22/0.45 Id : 9, {_}: multiply (multiply (inverse (double_divide ?4 ?3)) ?2) (double_divide ?2 ?3) =>= ?4 [2, 3, 4] by Demod 8 with 3 at 1,2
% 0.22/0.45 Id : 10, {_}: multiply (multiply (multiply ?3 ?4) ?2) (double_divide ?2 ?3) =>= ?4 [2, 4, 3] by Demod 9 with 3 at 1,1,2
% 0.22/0.45 Id : 22, {_}: multiply (multiply ?59 ?60) (double_divide ?60 ?61) =?= double_divide (double_divide ?59 ?62) (multiply ?62 ?61) [62, 61, 60, 59] by Super 19 with 10 at 2,2,2
% 0.22/0.45 Id : 434, {_}: multiply ?1981 (multiply (multiply ?1982 ?1983) (double_divide ?1983 ?1981)) =>= ?1982 [1983, 1982, 1981] by Super 28 with 22 at 2,2
% 0.22/0.45 Id : 540, {_}: multiply (multiply ?2461 (multiply ?2462 (double_divide ?2463 ?2461))) ?2463 =>= ?2462 [2463, 2462, 2461] by Super 434 with 28 at 2,2
% 0.22/0.45 Id : 16, {_}: multiply (multiply ?15 ?13) (double_divide ?13 (multiply (multiply ?16 ?15) ?14)) =>= double_divide ?14 ?16 [14, 16, 13, 15] by Demod 15 with 3 at 1,2,2,2
% 0.22/0.45 Id : 32, {_}: ?104 =<= double_divide (multiply ?105 (double_divide ?104 (multiply ?106 ?105))) ?106 [106, 105, 104] by Super 16 with 28 at 2
% 0.22/0.45 Id : 88, {_}: multiply ?388 (multiply ?389 (double_divide ?390 (multiply ?388 ?389))) =>= inverse ?390 [390, 389, 388] by Super 3 with 32 at 1,3
% 0.22/0.45 Id : 95, {_}: multiply (multiply ?425 ?426) (double_divide (multiply ?426 ?427) ?425) =>= inverse ?427 [427, 426, 425] by Super 88 with 16 at 2,2
% 0.22/0.45 Id : 744, {_}: multiply (multiply ?3480 (inverse ?3481)) (multiply ?3482 ?3481) =>= multiply ?3480 ?3482 [3482, 3481, 3480] by Super 540 with 95 at 2,1,2
% 0.22/0.45 Id : 745, {_}: multiply (multiply ?3484 (inverse (double_divide ?3485 ?3486))) ?3487 =>= multiply ?3484 (multiply (multiply ?3486 ?3487) ?3485) [3487, 3486, 3485, 3484] by Super 744 with 10 at 2,2
% 0.22/0.45 Id : 827, {_}: multiply (multiply ?3845 (multiply ?3846 ?3847)) ?3848 =>= multiply ?3845 (multiply (multiply ?3846 ?3848) ?3847) [3848, 3847, 3846, 3845] by Demod 745 with 3 at 2,1,2
% 0.22/0.45 Id : 552, {_}: multiply (multiply ?2521 (inverse ?2522)) (multiply ?2523 ?2522) =>= multiply ?2521 ?2523 [2523, 2522, 2521] by Super 540 with 95 at 2,1,2
% 0.22/0.45 Id : 845, {_}: multiply (multiply ?3960 ?3961) ?3962 =<= multiply (multiply ?3960 (inverse ?3963)) (multiply (multiply ?3961 ?3962) ?3963) [3963, 3962, 3961, 3960] by Super 827 with 552 at 1,2
% 0.22/0.45 Id : 906, {_}: multiply (multiply ?3960 ?3961) ?3962 =>= multiply ?3960 (multiply ?3961 ?3962) [3962, 3961, 3960] by Demod 845 with 552 at 3
% 0.22/0.45 Id : 1088, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 906 at 2
% 0.22/0.45 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 0.22/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.45 7667: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.095024 using kbo
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