TSTP Solution File: BOO014-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO014-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n029.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 23:44:13 EDT 2022
% Result : Timeout 300.28s 75.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : BOO014-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n029.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 : Wed Jun 1 21:05:31 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 533: Facts:
% 0.13/0.35 533: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.13/0.35 533: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.13/0.35 533: Id : 4, {_}:
% 0.13/0.35 sum ?10 ?11 (add ?10 ?11) =>= true
% 0.13/0.35 [11, 10] by closure_of_addition ?10 ?11
% 0.13/0.35 533: Id : 5, {_}:
% 0.13/0.35 product ?13 ?14 (multiply ?13 ?14) =>= true
% 0.13/0.35 [14, 13] by closure_of_multiplication ?13 ?14
% 0.13/0.35 533: Id : 6, {_}:
% 0.13/0.35 ifeq (sum ?16 ?17 ?18) true (sum ?17 ?16 ?18) true =>= true
% 0.13/0.35 [18, 17, 16] by commutativity_of_addition ?16 ?17 ?18
% 0.13/0.35 533: Id : 7, {_}:
% 0.13/0.35 ifeq (product ?20 ?21 ?22) true (product ?21 ?20 ?22) true =>= true
% 0.13/0.35 [22, 21, 20] by commutativity_of_multiplication ?20 ?21 ?22
% 0.13/0.35 533: Id : 8, {_}:
% 0.13/0.35 sum additive_identity ?24 ?24 =>= true
% 0.13/0.35 [24] by additive_identity1 ?24
% 0.13/0.35 533: Id : 9, {_}:
% 0.13/0.35 sum ?26 additive_identity ?26 =>= true
% 0.13/0.35 [26] by additive_identity2 ?26
% 0.13/0.35 533: Id : 10, {_}:
% 0.13/0.35 product multiplicative_identity ?28 ?28 =>= true
% 0.13/0.35 [28] by multiplicative_identity1 ?28
% 0.13/0.35 533: Id : 11, {_}:
% 0.13/0.35 product ?30 multiplicative_identity ?30 =>= true
% 0.13/0.35 [30] by multiplicative_identity2 ?30
% 0.13/0.35 533: Id : 12, {_}:
% 0.13/0.35 ifeq (product ?32 ?33 ?34) true
% 0.13/0.35 (ifeq (product ?32 ?35 ?36) true
% 0.13/0.35 (ifeq (product ?32 ?37 ?38) true
% 0.13/0.35 (ifeq (sum ?37 ?35 ?33) true (sum ?38 ?36 ?34) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [38, 37, 36, 35, 34, 33, 32] by distributivity1 ?32 ?33 ?34 ?35 ?36
% 0.13/0.35 ?37 ?38
% 0.13/0.35 533: Id : 13, {_}:
% 0.13/0.35 ifeq (product ?40 ?41 ?42) true
% 0.13/0.35 (ifeq (product ?40 ?43 ?44) true
% 0.13/0.35 (ifeq (sum ?44 ?42 ?45) true
% 0.13/0.35 (ifeq (sum ?43 ?41 ?46) true (product ?40 ?46 ?45) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [46, 45, 44, 43, 42, 41, 40] by distributivity2 ?40 ?41 ?42 ?43 ?44
% 0.13/0.35 ?45 ?46
% 0.13/0.35 533: Id : 14, {_}:
% 0.13/0.35 ifeq (product ?48 ?49 ?50) true
% 0.13/0.35 (ifeq (product ?51 ?49 ?52) true
% 0.13/0.35 (ifeq (product ?53 ?49 ?54) true
% 0.13/0.35 (ifeq (sum ?53 ?51 ?48) true (sum ?54 ?52 ?50) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [54, 53, 52, 51, 50, 49, 48] by distributivity3 ?48 ?49 ?50 ?51 ?52
% 0.13/0.35 ?53 ?54
% 0.13/0.35 533: Id : 15, {_}:
% 0.13/0.35 ifeq (product ?56 ?57 ?58) true
% 0.13/0.35 (ifeq (product ?59 ?57 ?60) true
% 0.13/0.35 (ifeq (sum ?60 ?58 ?61) true
% 0.13/0.35 (ifeq (sum ?59 ?56 ?62) true (product ?62 ?57 ?61) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [62, 61, 60, 59, 58, 57, 56] by distributivity4 ?56 ?57 ?58 ?59 ?60
% 0.13/0.35 ?61 ?62
% 0.13/0.35 533: Id : 16, {_}:
% 0.13/0.35 ifeq (product ?64 ?65 ?66) true
% 0.13/0.35 (ifeq (sum ?67 ?66 ?68) true
% 0.13/0.35 (ifeq (sum ?67 ?65 ?69) true
% 0.13/0.35 (ifeq (sum ?67 ?64 ?70) true (product ?70 ?69 ?68) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [70, 69, 68, 67, 66, 65, 64] by distributivity5 ?64 ?65 ?66 ?67 ?68
% 0.13/0.35 ?69 ?70
% 0.13/0.35 533: Id : 17, {_}:
% 0.13/0.35 ifeq (product ?72 ?73 ?74) true
% 0.13/0.35 (ifeq (product ?75 ?76 ?77) true
% 0.13/0.35 (ifeq (sum ?78 ?76 ?73) true
% 0.13/0.35 (ifeq (sum ?78 ?75 ?72) true (sum ?78 ?77 ?74) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [78, 77, 76, 75, 74, 73, 72] by distributivity6 ?72 ?73 ?74 ?75 ?76
% 0.13/0.35 ?77 ?78
% 0.13/0.35 533: Id : 18, {_}:
% 0.13/0.35 ifeq (product ?80 ?81 ?82) true
% 0.13/0.35 (ifeq (sum ?82 ?83 ?84) true
% 0.13/0.35 (ifeq (sum ?81 ?83 ?85) true
% 0.13/0.35 (ifeq (sum ?80 ?83 ?86) true (product ?86 ?85 ?84) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [86, 85, 84, 83, 82, 81, 80] by distributivity7 ?80 ?81 ?82 ?83 ?84
% 0.13/0.35 ?85 ?86
% 0.13/0.35 533: Id : 19, {_}:
% 0.13/0.35 ifeq (product ?88 ?89 ?90) true
% 0.13/0.35 (ifeq (product ?91 ?92 ?93) true
% 0.13/0.35 (ifeq (sum ?92 ?94 ?89) true
% 0.13/0.35 (ifeq (sum ?91 ?94 ?88) true (sum ?93 ?94 ?90) true) true)
% 0.13/0.35 true) true
% 0.13/0.35 =>=
% 0.13/0.35 true
% 0.13/0.35 [94, 93, 92, 91, 90, 89, 88] by distributivity8 ?88 ?89 ?90 ?91 ?92
% 0.13/0.35 ?93 ?94
% 0.13/0.35 533: Id : 20, {_}:
% 0.13/0.35 sum (inverse ?96) ?96 multiplicative_identity =>= true
% 0.13/0.35 [96] by additive_inverse1 ?96
% 0.13/0.35 533: Id : 21, {_}:
% 0.13/0.35 sum ?98 (inverse ?98) multiplicative_identity =>= true
% 0.13/0.35 [98] by additive_inverse2 ?98
% 0.13/0.35 533: Id : 22, {_}:
% 0.13/0.35 product (inverse ?100) ?100 additive_identity =>= true
% 0.13/0.35 [100] by multiplicative_inverse1 ?100
% 0.13/0.35 533: Id : 23, {_}:
% 0.13/0.35 product ?102 (inverse ?102) additive_identity =>= true
% 0.13/0.35 [102] by multiplicative_inverse2 ?102
% 0.13/0.35 533: Id : 24, {_}:
% 0.13/0.35 ifeq2 (sum ?104 ?105 ?106) true
% 0.13/0.35 (ifeq2 (sum ?104 ?105 ?107) true ?107 ?106) ?106
% 0.13/0.35 =>=
% 0.13/0.35 ?106
% 0.13/0.35 [107, 106, 105, 104] by addition_is_well_defined ?104 ?105 ?106 ?107
% 0.13/0.35 533: Id : 25, {_}:
% 0.13/0.35 ifeq2 (product ?109 ?110 ?111) true
% 0.13/0.35 (ifeq2 (product ?109 ?110 ?112) true ?112 ?111) ?111
% 0.13/0.35 =>=
% 0.13/0.35 ?111
% 0.13/0.35 [112, 111, 110, 109] by multiplication_is_well_defined ?109 ?110 ?111
% 0.13/0.35 ?112
% 0.13/0.35 533: Id : 26, {_}: sum x y x_plus_y =>= true [] by x_plus_y
% 0.13/0.35 533: Id : 27, {_}:
% 0.13/0.35 product (inverse x) (inverse y) x_inverse_times_y_inverse =>= true
% 0.13/0.35 [] by x_inverse_times_y_inverse
% 0.13/0.35 533: Goal:
% 0.13/0.35 533: Id : 1, {_}:
% 0.13/0.35 inverse x_plus_y =>= x_inverse_times_y_inverse
% 0.13/0.35 [] by prove_equation
% 300.28/75.38 % SZS status Timeout for theBenchmark.p
% 300.28/75.38 % SZS status Timeout for theBenchmark.p
% 300.28/75.38 % SZS status Timeout for theBenchmark.p
% 300.28/75.38 % SZS status Timeout for theBenchmark.p
% 300.28/75.39 % SZS status Timeout for theBenchmark.p
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