TSTP Solution File: GRP012-4 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 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 10:28:25 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% 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 : GRP012-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 14:20:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 3755: Facts:
% 0.12/0.34 3755: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 3755: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 3755: Id : 4, {_}:
% 0.12/0.34 multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8)
% 0.12/0.34 [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.34 3755: Id : 5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.12/0.34 3755: Id : 6, {_}:
% 0.12/0.34 multiply ?12 (inverse ?12) =>= identity
% 0.12/0.34 [12] by right_inverse ?12
% 0.12/0.34 3755: Goal:
% 0.12/0.34 3755: Id : 1, {_}:
% 0.12/0.34 inverse (multiply a b) =<= multiply (inverse b) (inverse a)
% 0.12/0.34 [] by prove_inverse_of_product_is_product_of_inverses
% 0.12/0.35 Statistics :
% 0.12/0.35 Max weight : 12
% 0.12/0.35 Found proof, 0.011564s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 Statistics :
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Max weight : 16
% 0.12/0.35 Found proof, 0.011480s
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.12/0.35 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.35 Id : 5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.12/0.35 Id : 11, {_}: multiply (multiply ?21 ?22) ?23 =?= multiply ?21 (multiply ?22 ?23) [23, 22, 21] by associativity ?21 ?22 ?23
% 0.12/0.35 Id : 6, {_}: multiply ?12 (inverse ?12) =>= identity [12] by right_inverse ?12
% 0.12/0.35 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =>= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.35 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.35 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.35 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.35 Id : 45, {_}: multiply ?105 (inverse ?105) =>= identity [105] by right_inverse ?105
% 0.12/0.35 Id : 5, {_}: multiply ?10 identity =>= ?10 [10] by right_identity ?10
% 0.12/0.35 Id : 6, {_}: multiply ?12 (inverse ?12) =>= identity [12] by right_inverse ?12
% 0.12/0.35 Id : 11, {_}: multiply (multiply ?21 ?22) ?23 =>= multiply ?21 (multiply ?22 ?23) [23, 22, 21] by associativity ?21 ?22 ?23
% 0.12/0.35 Id : 4, {_}: multiply (multiply ?6 ?7) ?8 =?= multiply ?6 (multiply ?7 ?8) [8, 7, 6] by associativity ?6 ?7 ?8
% 0.12/0.35 Id : 13, {_}: multiply identity ?28 =<= multiply (inverse ?29) (multiply ?29 ?28) [29, 28] by Super 11 with 3 at 1,2
% 0.12/0.35 Id : 17, {_}: ?28 =<= multiply (inverse ?29) (multiply ?29 ?28) [29, 28] by Demod 13 with 2 at 2
% 0.12/0.35 Id : 34, {_}: identity =<= multiply ?60 (multiply ?61 (inverse (multiply ?60 ?61))) [61, 60] by Super 4 with 6 at 2
% 0.12/0.35 Id : 42, {_}: multiply (multiply ?98 ?99) (inverse ?99) =>= multiply ?98 identity [99, 98] by Super 4 with 6 at 2,3
% 0.12/0.35 Id : 89, {_}: multiply ?126 (inverse (multiply ?127 ?126)) =>= multiply (inverse ?127) identity [127, 126] by Super 17 with 34 at 2,3
% 0.12/0.35 Id : 49, {_}: multiply (multiply ?98 ?99) (inverse ?99) =>= ?98 [99, 98] by Demod 42 with 5 at 3
% 0.12/0.35 Id : 105, {_}: multiply ?126 (inverse (multiply ?127 ?126)) =>= inverse ?127 [127, 126] by Demod 89 with 5 at 3
% 0.12/0.35 Id : 47, {_}: multiply ?108 (multiply ?109 (inverse (multiply ?108 ?109))) =>= identity [109, 108] by Super 45 with 4 at 2
% 0.12/0.35 Id : 191, {_}: inverse (multiply ?232 ?233) =<= multiply (inverse ?233) (inverse ?232) [233, 232] by Super 17 with 105 at 2,3
% 0.12/0.35 Id : 138, {_}: multiply identity (inverse (multiply ?239 (inverse (multiply ?240 ?239)))) =>= ?240 [240, 239] by Super 49 with 47 at 1,2
% 0.12/0.35 Id : 353, {_}: inverse (multiply a b) =?= inverse (multiply a b) [] by Demod 1 with 191 at 3
% 0.12/0.35 Id : 1, {_}: inverse (multiply a b) =<= multiply (inverse b) (inverse a) [] by prove_inverse_of_product_is_product_of_inverses
% 0.12/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.35 3756: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.012586 using kbo
% 0.12/0.35 Id : 186, {_}: inverse (multiply ?306 (inverse (multiply ?307 ?306))) =>= ?307 [307, 306] by Demod 138 with 2 at 2
% 0.12/0.35 Id : 13, {_}: multiply (multiply ?28 (inverse ?29)) ?29 =>= multiply ?28 identity [29, 28] by Super 11 with 3 at 2,3
% 0.12/0.35 Id : 62, {_}: multiply (multiply ?28 (inverse ?29)) ?29 =>= ?28 [29, 28] by Demod 13 with 5 at 3
% 0.12/0.35 Id : 223, {_}: inverse (multiply ?365 (inverse ?366)) =>= multiply ?366 (inverse ?365) [366, 365] by Super 186 with 62 at 1,2,1,2
% 0.12/0.35 Id : 68, {_}: multiply (multiply ?134 (inverse ?135)) ?135 =>= ?134 [135, 134] by Demod 13 with 5 at 3
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