TSTP Solution File: HEN010-10 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : HEN010-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n007.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 12:58:23 EDT 2022

% Result   : Timeout 300.35s 75.39s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : HEN010-10 : TPTP v8.1.0. Released v7.3.0.
% 0.10/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Fri Jul  1 14:10:39 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  14567: Facts:
% 0.11/0.32  14567:  Id :   2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.11/0.32  14567:  Id :   3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.11/0.32  14567:  Id :   4, {_}:
% 0.11/0.32            ifeq (less_equal ?10 ?11) true (quotient ?10 ?11 zero) true =>= true
% 0.11/0.32            [11, 10] by quotient_less_equal ?10 ?11
% 0.11/0.32  14567:  Id :   5, {_}:
% 0.11/0.32            ifeq (quotient ?13 ?14 zero) true (less_equal ?13 ?14) true =>= true
% 0.11/0.32            [14, 13] by less_equal_quotient ?13 ?14
% 0.11/0.32  14567:  Id :   6, {_}:
% 0.11/0.32            ifeq (quotient ?16 ?17 ?18) true (less_equal ?18 ?16) true =>= true
% 0.11/0.32            [18, 17, 16] by divisor_existence ?16 ?17 ?18
% 0.11/0.32  14567:  Id :   7, {_}:
% 0.11/0.32            ifeq (quotient ?20 ?21 ?22) true
% 0.11/0.32              (ifeq (quotient ?23 ?24 ?25) true
% 0.11/0.32                (ifeq (quotient ?26 ?24 ?21) true
% 0.11/0.32                  (ifeq (quotient ?27 ?24 ?20) true
% 0.11/0.32                    (ifeq (quotient ?27 ?26 ?23) true (less_equal ?22 ?25) true)
% 0.11/0.32                    true) true) true) true
% 0.11/0.32            =>=
% 0.11/0.32            true
% 0.11/0.32            [27, 26, 25, 24, 23, 22, 21, 20] by quotient_property ?20 ?21 ?22 ?23
% 0.11/0.32                                                  ?24 ?25 ?26 ?27
% 0.11/0.32  14567:  Id :   8, {_}: less_equal zero ?29 =>= true [29] by zero_is_smallest ?29
% 0.11/0.32  14567:  Id :   9, {_}:
% 0.11/0.32            ifeq2 (less_equal ?31 ?32) true
% 0.11/0.32              (ifeq2 (less_equal ?32 ?31) true ?32 ?31) ?31
% 0.11/0.32            =>=
% 0.11/0.32            ?31
% 0.11/0.32            [32, 31] by less_equal_and_equal ?31 ?32
% 0.11/0.32  14567:  Id :  10, {_}: less_equal ?34 identity =>= true [34] by identity_is_largest ?34
% 0.11/0.32  14567:  Id :  11, {_}:
% 0.11/0.32            quotient ?36 ?37 (divide ?36 ?37) =>= true
% 0.11/0.32            [37, 36] by closure ?36 ?37
% 0.11/0.32  14567:  Id :  12, {_}:
% 0.11/0.32            ifeq2 (quotient ?39 ?40 ?41) true
% 0.11/0.32              (ifeq2 (quotient ?39 ?40 ?42) true ?42 ?41) ?41
% 0.11/0.32            =>=
% 0.11/0.32            ?41
% 0.11/0.32            [42, 41, 40, 39] by well_defined ?39 ?40 ?41 ?42
% 0.11/0.32  14567:  Id :  13, {_}:
% 0.11/0.32            quotient ?44 identity zero =>= true
% 0.11/0.32            [44] by everything_divide_identity_is_zero ?44
% 0.11/0.32  14567:  Id :  14, {_}:
% 0.11/0.32            quotient zero ?46 zero =>= true
% 0.11/0.32            [46] by zero_divide_anything_is_zero ?46
% 0.11/0.32  14567:  Id :  15, {_}: quotient ?48 ?48 zero =>= true [48] by x_divide_x_is_zero ?48
% 0.11/0.32  14567:  Id :  16, {_}: quotient ?50 zero ?50 =>= true [50] by x_divde_zero_is_x ?50
% 0.11/0.32  14567:  Id :  17, {_}:
% 0.11/0.32            ifeq (less_equal ?52 ?53) true
% 0.11/0.32              (ifeq (less_equal ?54 ?52) true (less_equal ?54 ?53) true) true
% 0.11/0.32            =>=
% 0.11/0.32            true
% 0.11/0.32            [54, 53, 52] by transitivity_of_less_equal ?52 ?53 ?54
% 0.11/0.32  14567:  Id :  18, {_}:
% 0.11/0.32            ifeq (quotient ?56 ?57 ?58) true
% 0.11/0.32              (ifeq (quotient ?56 ?59 ?60) true
% 0.11/0.32                (ifeq (less_equal ?60 ?57) true (less_equal ?58 ?59) true) true)
% 0.11/0.32              true
% 0.11/0.32            =>=
% 0.11/0.32            true
% 0.11/0.32            [60, 59, 58, 57, 56] by xQyLEz_implies_xQzLEy ?56 ?57 ?58 ?59 ?60
% 0.11/0.32  14567:  Id :  19, {_}:
% 0.11/0.32            ifeq (quotient ?62 ?63 ?64) true
% 0.11/0.32              (ifeq (quotient ?62 ?65 ?66) true
% 0.11/0.32                (ifeq (less_equal ?65 ?63) true (less_equal ?64 ?66) true) true)
% 0.11/0.32              true
% 0.11/0.32            =>=
% 0.11/0.32            true
% 0.11/0.32            [66, 65, 64, 63, 62] by xLEy_implies_zQyLEzQx ?62 ?63 ?64 ?65 ?66
% 0.11/0.32  14567:  Id :  20, {_}:
% 0.11/0.32            ifeq (quotient ?68 ?69 ?70) true
% 0.11/0.32              (ifeq (quotient ?71 ?69 ?72) true
% 0.11/0.32                (ifeq (less_equal ?71 ?68) true (less_equal ?72 ?70) true) true)
% 0.11/0.32              true
% 0.11/0.32            =>=
% 0.11/0.32            true
% 0.11/0.32            [72, 71, 70, 69, 68] by xLEy_implies_xQzLEyQz ?68 ?69 ?70 ?71 ?72
% 0.11/0.32  14567:  Id :  21, {_}: quotient identity a idQa =>= true [] by identity_divide_a
% 0.11/0.32  14567:  Id :  22, {_}:
% 0.11/0.32            quotient identity idQa idQ_idQa =>= true
% 0.11/0.32            [] by identity_divide_idQa
% 0.11/0.32  14567:  Id :  23, {_}:
% 0.11/0.32            quotient idQa idQ_idQa idQa_Q__idQ_idQa =>= true
% 0.11/0.32            [] by identity_divide_idQ_idQa
% 0.11/0.32  14567: Goal:
% 0.11/0.32  14567:  Id :   1, {_}:
% 0.11/0.32            idQa =<= idQa_Q__idQ_idQa
% 0.11/0.32            [] by prove_idQa_equals_idQa_Q__idQ_idQa
% 300.35/75.39  % SZS status Timeout for theBenchmark.p
% 300.35/75.39  % SZS status Timeout for theBenchmark.p
% 300.35/75.39  % SZS status Timeout for theBenchmark.p
% 300.35/75.39  % SZS status Timeout for theBenchmark.p
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