TSTP Solution File: ANA133-1 by Matita---1.0
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% File : Matita---1.0
% Problem : ANA133-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 : Thu Jul 14 19:14:20 EDT 2022
% Result : Unsatisfiable 27.96s 7.37s
% Output : CNFRefutation 27.96s
% 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 : ANA133-1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 03:15:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 8962: Facts:
% 0.13/0.34 8962: Id : 2, {_}: + ?3 ?4 =?= + ?4 ?3 [4, 3] by commutativity_of_plus ?3 ?4
% 0.13/0.34 8962: Id : 3, {_}:
% 0.13/0.34 + ?6 (+ ?7 ?8) =?= + (+ ?6 ?7) ?8
% 0.13/0.34 [8, 7, 6] by associtivity_of_plus ?6 ?7 ?8
% 0.13/0.34 8962: Id : 4, {_}:
% 0.13/0.34 times ?10 ?11 =?= times ?11 ?10
% 0.13/0.34 [11, 10] by commutativity_of_times ?10 ?11
% 0.13/0.34 8962: Id : 5, {_}:
% 0.13/0.34 times ?13 (times ?14 ?15) =?= times (times ?13 ?14) ?15
% 0.13/0.34 [15, 14, 13] by associativity_of_times ?13 ?14 ?15
% 0.13/0.34 8962: Id : 6, {_}: + zero ?17 =>= ?17 [17] by plus_zero ?17
% 0.13/0.34 8962: Id : 7, {_}: times zero ?19 =>= zero [19] by times_zero ?19
% 0.13/0.34 8962: Id : 8, {_}: times one ?21 =>= ?21 [21] by times_one ?21
% 0.13/0.34 8962: Id : 9, {_}:
% 0.13/0.34 times ?23 (+ ?24 ?25) =<= + (times ?23 ?24) (times ?23 ?25)
% 0.13/0.34 [25, 24, 23] by distributivity ?23 ?24 ?25
% 0.13/0.34 8962: Id : 10, {_}: + ?27 (minus ?27) =>= zero [27] by minus ?27
% 0.13/0.34 8962: Id : 11, {_}: d zero =>= zero [] by derivative_of_zero
% 0.13/0.34 8962: Id : 12, {_}: d one =>= zero [] by derivative_of_one
% 0.13/0.34 8962: Id : 13, {_}: d x =>= one [] by derivative_of_x
% 0.13/0.35 8962: Id : 14, {_}:
% 0.13/0.35 d (+ ?32 ?33) =<= + (d ?32) (d ?33)
% 0.13/0.35 [33, 32] by derivative_of_plus ?32 ?33
% 0.13/0.35 8962: Id : 15, {_}:
% 0.13/0.35 d (times ?35 ?36) =<= + (times ?35 (d ?36)) (times ?36 (d ?35))
% 0.13/0.35 [36, 35] by derivative_of_times ?35 ?36
% 0.13/0.35 8962: Id : 16, {_}:
% 0.13/0.35 d (sin ?38) =<= times (cos ?38) (d ?38)
% 0.13/0.35 [38] by derivative_of_sin ?38
% 0.13/0.35 8962: Id : 17, {_}:
% 0.13/0.35 d (cos ?40) =<= minus (times (sin ?40) (d ?40))
% 0.13/0.35 [40] by derivative_of_cos ?40
% 0.13/0.35 8962: Goal:
% 0.13/0.35 8962: Id : 1, {_}: d ?1 =?= times x (cos x) [1] by goal ?1
% 27.96/7.37 Goal subsumed
% 27.96/7.37 Statistics :
% 27.96/7.37 Max weight : 18
% 27.96/7.37 Found proof, 7.021435s
% 27.96/7.37 % SZS status Unsatisfiable for theBenchmark.p
% 27.96/7.37 % SZS output start CNFRefutation for theBenchmark.p
% 27.96/7.37 Id : 239, {_}: d (cos ?404) =<= minus (times (sin ?404) (d ?404)) [404] by derivative_of_cos ?404
% 27.96/7.37 Id : 14, {_}: d (+ ?32 ?33) =<= + (d ?32) (d ?33) [33, 32] by derivative_of_plus ?32 ?33
% 27.96/7.37 Id : 223, {_}: d (sin ?395) =<= times (cos ?395) (d ?395) [395] by derivative_of_sin ?395
% 27.96/7.37 Id : 2, {_}: + ?3 ?4 =?= + ?4 ?3 [4, 3] by commutativity_of_plus ?3 ?4
% 27.96/7.37 Id : 8, {_}: times one ?21 =>= ?21 [21] by times_one ?21
% 27.96/7.37 Id : 4, {_}: times ?10 ?11 =?= times ?11 ?10 [11, 10] by commutativity_of_times ?10 ?11
% 27.96/7.37 Id : 13, {_}: d x =>= one [] by derivative_of_x
% 27.96/7.37 Id : 170, {_}: d (times ?334 ?335) =<= + (times ?334 (d ?335)) (times ?335 (d ?334)) [335, 334] by derivative_of_times ?334 ?335
% 27.96/7.37 Id : 6, {_}: + zero ?17 =>= ?17 [17] by plus_zero ?17
% 27.96/7.37 Id : 10, {_}: + ?27 (minus ?27) =>= zero [27] by minus ?27
% 27.96/7.37 Id : 3, {_}: + ?6 (+ ?7 ?8) =<= + (+ ?6 ?7) ?8 [8, 7, 6] by associtivity_of_plus ?6 ?7 ?8
% 27.96/7.37 Id : 124, {_}: + ?260 (+ (minus ?260) ?261) =>= + zero ?261 [261, 260] by Super 3 with 10 at 1,3
% 27.96/7.37 Id : 131, {_}: + ?260 (+ (minus ?260) ?261) =>= ?261 [261, 260] by Demod 124 with 6 at 3
% 27.96/7.37 Id : 173, {_}: d (times x ?341) =<= + (times x (d ?341)) (times ?341 one) [341] by Super 170 with 13 at 2,2,3
% 27.96/7.37 Id : 73, {_}: times ?175 one =>= ?175 [175] by Super 4 with 8 at 3
% 27.96/7.37 Id : 34072, {_}: d (times x ?341) =<= + (times x (d ?341)) ?341 [341] by Demod 173 with 73 at 2,3
% 27.96/7.37 Id : 34073, {_}: d (times x ?341) =<= + ?341 (times x (d ?341)) [341] by Demod 34072 with 2 at 3
% 27.96/7.37 Id : 35802, {_}: + ?20401 (d (times x (minus ?20401))) =<= times x (d (minus ?20401)) [20401] by Super 131 with 34073 at 2,2
% 27.96/7.37 Id : 3588, {_}: + ?3926 (+ (minus ?3926) ?3927) =>= ?3927 [3927, 3926] by Demod 124 with 6 at 3
% 27.96/7.37 Id : 3592, {_}: + ?3937 zero =>= minus (minus ?3937) [3937] by Super 3588 with 10 at 2,2
% 27.96/7.37 Id : 56, {_}: + ?146 zero =>= ?146 [146] by Super 2 with 6 at 3
% 27.96/7.37 Id : 3630, {_}: ?3937 =<= minus (minus ?3937) [3937] by Demod 3592 with 56 at 2
% 27.96/7.37 Id : 35805, {_}: + (minus ?20406) (d (times x (minus (minus ?20406)))) =<= times x (d ?20406) [20406] by Super 35802 with 3630 at 1,2,3
% 27.96/7.37 Id : 35941, {_}: + (minus ?20477) (d (times x ?20477)) =<= times x (d ?20477) [20477] by Demod 35805 with 3630 at 2,1,2,2
% 27.96/7.37 Id : 226, {_}: d (sin x) =<= times (cos x) one [] by Super 223 with 13 at 2,3
% 27.96/7.37 Id : 236, {_}: d (sin x) =<= times one (cos x) [] by Demod 226 with 4 at 3
% 27.96/7.37 Id : 237, {_}: d (sin x) =>= cos x [] by Demod 236 with 8 at 3
% 27.96/7.37 Id : 35950, {_}: + (minus (sin x)) (d (times x (sin x))) =<= times x (cos x) [] by Super 35941 with 237 at 2,3
% 27.96/7.37 Id : 242, {_}: d (cos x) =<= minus (times (sin x) one) [] by Super 239 with 13 at 2,1,3
% 27.96/7.37 Id : 249, {_}: d (cos x) =<= minus (times one (sin x)) [] by Demod 242 with 4 at 1,3
% 27.96/7.37 Id : 250, {_}: d (cos x) =>= minus (sin x) [] by Demod 249 with 8 at 1,3
% 27.96/7.37 Id : 504, {_}: d (+ (cos x) ?905) =>= + (minus (sin x)) (d ?905) [905] by Super 14 with 250 at 1,3
% 27.96/7.37 Id : 36754, {_}: + (minus (sin x)) (d (times x (sin x))) === + (minus (sin x)) (d (times x (sin x))) [] by Super 36753 with 504 at 2
% 27.96/7.37 Id : 36753, {_}: d ?1 =?= + (minus (sin x)) (d (times x (sin x))) [1] by Demod 1 with 35950 at 3
% 27.96/7.37 Id : 1, {_}: d ?1 =?= times x (cos x) [1] by goal ?1
% 27.96/7.37 % SZS output end CNFRefutation for theBenchmark.p
% 27.96/7.37 8964: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 7.023447 using lpo
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