TSTP Solution File: GRP175-4 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 10:29:23 EDT 2022
% Result : Unsatisfiable 146.45s 36.95s
% Output : CNFRefutation 146.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n017.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 : Mon Jun 13 04:27:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 12957: Facts:
% 0.12/0.34 12957: Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 0.12/0.34 12957: Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 0.12/0.34 12957: 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 12957: Id : 5, {_}:
% 0.12/0.34 greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10
% 0.12/0.34 [11, 10] by symmetry_of_glb ?10 ?11
% 0.12/0.34 12957: Id : 6, {_}:
% 0.12/0.34 least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13
% 0.12/0.34 [14, 13] by symmetry_of_lub ?13 ?14
% 0.12/0.34 12957: Id : 7, {_}:
% 0.12/0.34 greatest_lower_bound ?16 (greatest_lower_bound ?17 ?18)
% 0.12/0.34 =?=
% 0.12/0.34 greatest_lower_bound (greatest_lower_bound ?16 ?17) ?18
% 0.12/0.34 [18, 17, 16] by associativity_of_glb ?16 ?17 ?18
% 0.12/0.34 12957: Id : 8, {_}:
% 0.12/0.34 least_upper_bound ?20 (least_upper_bound ?21 ?22)
% 0.12/0.34 =?=
% 0.12/0.34 least_upper_bound (least_upper_bound ?20 ?21) ?22
% 0.12/0.34 [22, 21, 20] by associativity_of_lub ?20 ?21 ?22
% 0.12/0.34 12957: Id : 9, {_}: least_upper_bound ?24 ?24 =>= ?24 [24] by idempotence_of_lub ?24
% 0.12/0.34 12957: Id : 10, {_}:
% 0.12/0.34 greatest_lower_bound ?26 ?26 =>= ?26
% 0.12/0.34 [26] by idempotence_of_gld ?26
% 0.12/0.34 12957: Id : 11, {_}:
% 0.12/0.34 least_upper_bound ?28 (greatest_lower_bound ?28 ?29) =>= ?28
% 0.12/0.34 [29, 28] by lub_absorbtion ?28 ?29
% 0.12/0.34 12957: Id : 12, {_}:
% 0.12/0.34 greatest_lower_bound ?31 (least_upper_bound ?31 ?32) =>= ?31
% 0.12/0.34 [32, 31] by glb_absorbtion ?31 ?32
% 0.12/0.34 12957: Id : 13, {_}:
% 0.12/0.34 multiply ?34 (least_upper_bound ?35 ?36)
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?34 ?35) (multiply ?34 ?36)
% 0.12/0.34 [36, 35, 34] by monotony_lub1 ?34 ?35 ?36
% 0.12/0.34 12957: Id : 14, {_}:
% 0.12/0.34 multiply ?38 (greatest_lower_bound ?39 ?40)
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40)
% 0.12/0.34 [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 0.12/0.34 12957: Id : 15, {_}:
% 0.12/0.34 multiply (least_upper_bound ?42 ?43) ?44
% 0.12/0.34 =<=
% 0.12/0.34 least_upper_bound (multiply ?42 ?44) (multiply ?43 ?44)
% 0.12/0.34 [44, 43, 42] by monotony_lub2 ?42 ?43 ?44
% 0.12/0.34 12957: Id : 16, {_}:
% 0.12/0.34 multiply (greatest_lower_bound ?46 ?47) ?48
% 0.12/0.34 =<=
% 0.12/0.34 greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48)
% 0.12/0.34 [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 0.12/0.34 12957: Id : 17, {_}: greatest_lower_bound identity b =>= identity [] by p06d_1
% 0.12/0.34 12957: Goal:
% 0.12/0.34 12957: Id : 1, {_}:
% 0.12/0.34 least_upper_bound identity (multiply (inverse a) (multiply b a))
% 0.12/0.34 =>=
% 0.12/0.34 multiply (inverse a) (multiply b a)
% 0.12/0.34 [] by prove_p06d
% 146.45/36.95 Statistics :
% 146.45/36.95 Max weight : 20
% 146.45/36.95 Found proof, 36.609995s
% 146.45/36.95 % SZS status Unsatisfiable for theBenchmark.p
% 146.45/36.95 % SZS output start CNFRefutation for theBenchmark.p
% 146.45/36.95 Id : 6, {_}: least_upper_bound ?13 ?14 =?= least_upper_bound ?14 ?13 [14, 13] by symmetry_of_lub ?13 ?14
% 146.45/36.95 Id : 2, {_}: multiply identity ?2 =>= ?2 [2] by left_identity ?2
% 146.45/36.95 Id : 17, {_}: greatest_lower_bound identity b =>= identity [] by p06d_1
% 146.45/36.95 Id : 16, {_}: multiply (greatest_lower_bound ?46 ?47) ?48 =>= greatest_lower_bound (multiply ?46 ?48) (multiply ?47 ?48) [48, 47, 46] by monotony_glb2 ?46 ?47 ?48
% 146.45/36.95 Id : 14, {_}: multiply ?38 (greatest_lower_bound ?39 ?40) =>= greatest_lower_bound (multiply ?38 ?39) (multiply ?38 ?40) [40, 39, 38] by monotony_glb1 ?38 ?39 ?40
% 146.45/36.95 Id : 3, {_}: multiply (inverse ?4) ?4 =>= identity [4] by left_inverse ?4
% 146.45/36.95 Id : 5, {_}: greatest_lower_bound ?10 ?11 =?= greatest_lower_bound ?11 ?10 [11, 10] by symmetry_of_glb ?10 ?11
% 146.45/36.95 Id : 83, {_}: least_upper_bound ?218 (greatest_lower_bound ?218 ?219) =>= ?218 [219, 218] by lub_absorbtion ?218 ?219
% 146.45/36.95 Id : 84, {_}: least_upper_bound ?221 (greatest_lower_bound ?222 ?221) =>= ?221 [222, 221] by Super 83 with 5 at 2,2
% 146.45/36.95 Id : 42048, {_}: greatest_lower_bound (multiply (inverse (greatest_lower_bound ?36015 ?36016)) ?36015) (multiply (inverse (greatest_lower_bound ?36015 ?36016)) ?36016) =>= identity [36016, 36015] by Super 3 with 14 at 2
% 146.45/36.95 Id : 270, {_}: multiply identity ?497 =<= greatest_lower_bound (multiply identity ?497) (multiply b ?497) [497] by Super 16 with 17 at 1,2
% 146.45/36.95 Id : 273, {_}: ?497 =<= greatest_lower_bound (multiply identity ?497) (multiply b ?497) [497] by Demod 270 with 2 at 2
% 146.45/36.95 Id : 274, {_}: ?497 =<= greatest_lower_bound ?497 (multiply b ?497) [497] by Demod 273 with 2 at 1,3
% 146.45/36.95 Id : 42140, {_}: greatest_lower_bound (multiply (inverse (greatest_lower_bound ?36225 (multiply b ?36225))) ?36225) (multiply (inverse ?36225) (multiply b ?36225)) =>= identity [36225] by Super 42048 with 274 at 1,1,2,2
% 146.45/36.95 Id : 42834, {_}: greatest_lower_bound (multiply (inverse ?36225) (multiply b ?36225)) (multiply (inverse (greatest_lower_bound ?36225 (multiply b ?36225))) ?36225) =>= identity [36225] by Demod 42140 with 5 at 2
% 146.45/36.95 Id : 42835, {_}: greatest_lower_bound (multiply (inverse ?36225) (multiply b ?36225)) (multiply (inverse ?36225) ?36225) =>= identity [36225] by Demod 42834 with 274 at 1,1,2,2
% 146.45/36.95 Id : 42836, {_}: greatest_lower_bound (multiply (inverse ?36225) ?36225) (multiply (inverse ?36225) (multiply b ?36225)) =>= identity [36225] by Demod 42835 with 5 at 2
% 146.45/36.95 Id : 42837, {_}: greatest_lower_bound identity (multiply (inverse ?36225) (multiply b ?36225)) =>= identity [36225] by Demod 42836 with 3 at 1,2
% 146.45/36.95 Id : 102270, {_}: least_upper_bound (multiply (inverse ?82998) (multiply b ?82998)) identity =>= multiply (inverse ?82998) (multiply b ?82998) [82998] by Super 84 with 42837 at 2,2
% 146.45/36.95 Id : 102343, {_}: least_upper_bound identity (multiply (inverse ?82998) (multiply b ?82998)) =>= multiply (inverse ?82998) (multiply b ?82998) [82998] by Demod 102270 with 6 at 2
% 146.45/36.95 Id : 194273, {_}: multiply (inverse a) (multiply b a) === multiply (inverse a) (multiply b a) [] by Demod 1 with 102343 at 2
% 146.45/36.95 Id : 1, {_}: least_upper_bound identity (multiply (inverse a) (multiply b a)) =>= multiply (inverse a) (multiply b a) [] by prove_p06d
% 146.45/36.95 % SZS output end CNFRefutation for theBenchmark.p
% 146.45/36.95 12959: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 36.611622 using lpo
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