TSTP Solution File: GRP206-1 by Matita---1.0
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% File : Matita---1.0
% Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n009.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 10:29:37 EDT 2022
% Result : Unsatisfiable 0.07s 0.26s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 0.00/0.07 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.07/0.25 % Computer : n009.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 600
% 0.07/0.25 % DateTime : Mon Jun 13 15:06:22 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.26 8116: Facts:
% 0.07/0.26 8116: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.07/0.26 8116: Id : 3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 0.07/0.26 8116: Id : 4, {_}:
% 0.07/0.26 multiply ?6 (left_division ?6 ?7) =>= ?7
% 0.07/0.26 [7, 6] by multiply_left_division ?6 ?7
% 0.07/0.26 8116: Id : 5, {_}:
% 0.07/0.26 left_division ?9 (multiply ?9 ?10) =>= ?10
% 0.07/0.26 [10, 9] by left_division_multiply ?9 ?10
% 0.07/0.26 8116: Id : 6, {_}:
% 0.07/0.26 multiply (right_division ?12 ?13) ?13 =>= ?12
% 0.07/0.26 [13, 12] by multiply_right_division ?12 ?13
% 0.07/0.26 8116: Id : 7, {_}:
% 0.07/0.26 right_division (multiply ?15 ?16) ?16 =>= ?15
% 0.07/0.26 [16, 15] by right_division_multiply ?15 ?16
% 0.07/0.26 8116: Id : 8, {_}:
% 0.07/0.26 multiply ?18 (right_inverse ?18) =>= identity
% 0.07/0.26 [18] by right_inverse ?18
% 0.07/0.26 8116: Id : 9, {_}:
% 0.07/0.26 multiply (left_inverse ?20) ?20 =>= identity
% 0.07/0.26 [20] by left_inverse ?20
% 0.07/0.26 8116: Id : 10, {_}:
% 0.07/0.26 multiply ?22 (multiply (multiply ?23 ?24) ?22)
% 0.07/0.26 =?=
% 0.07/0.26 multiply (multiply ?22 ?23) (multiply ?24 ?22)
% 0.07/0.26 [24, 23, 22] by moufang4 ?22 ?23 ?24
% 0.07/0.26 8116: Goal:
% 0.07/0.26 8116: Id : 1, {_}:
% 0.07/0.26 multiply (multiply a (multiply b c)) a
% 0.07/0.26 =>=
% 0.07/0.26 multiply (multiply a b) (multiply c a)
% 0.07/0.26 [] by prove_moufang1
% 0.07/0.26 Statistics :
% 0.07/0.26 Max weight : 14
% 0.07/0.26 Found proof, 0.004466s
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark.p
% 0.07/0.26 % SZS output start CNFRefutation for theBenchmark.p
% 0.07/0.26 Id : 10, {_}: multiply ?22 (multiply (multiply ?23 ?24) ?22) =<= multiply (multiply ?22 ?23) (multiply ?24 ?22) [24, 23, 22] by moufang4 ?22 ?23 ?24
% 0.07/0.26 Id : 3, {_}: multiply ?4 identity =>= ?4 [4] by right_identity ?4
% 0.07/0.26 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.07/0.26 Id : 53, {_}: multiply ?116 (multiply (multiply ?117 ?118) ?116) =<= multiply (multiply ?116 ?117) (multiply ?118 ?116) [118, 117, 116] by moufang4 ?116 ?117 ?118
% 0.07/0.26 Id : 54, {_}: multiply ?120 (multiply (multiply ?121 identity) ?120) =>= multiply (multiply ?120 ?121) ?120 [121, 120] by Super 53 with 2 at 2,3
% 0.07/0.26 Id : 69, {_}: multiply ?120 (multiply ?121 ?120) =<= multiply (multiply ?120 ?121) ?120 [121, 120] by Demod 54 with 3 at 1,2,2
% 0.07/0.26 Id : 283, {_}: multiply a (multiply (multiply b c) a) =?= multiply a (multiply (multiply b c) a) [] by Demod 282 with 10 at 3
% 0.07/0.26 Id : 282, {_}: multiply a (multiply (multiply b c) a) =<= multiply (multiply a b) (multiply c a) [] by Demod 1 with 69 at 2
% 0.07/0.26 Id : 1, {_}: multiply (multiply a (multiply b c)) a =>= multiply (multiply a b) (multiply c a) [] by prove_moufang1
% 0.07/0.26 % SZS output end CNFRefutation for theBenchmark.p
% 0.07/0.26 8117: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.005486 using kbo
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