TSTP Solution File: NUN133-1 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : NUN133-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n024.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 : Mon Jul 18 16:34:48 EDT 2022

% Result   : Timeout 300.27s 75.39s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN133-1 : 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 : n024.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 : Thu Jun  2 10:41:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  28427: Facts:
% 0.13/0.35  28427:  Id :   2, {_}: + ?2 ?3 =?= + ?3 ?2 [3, 2] by plus_comm ?2 ?3
% 0.13/0.35  28427:  Id :   3, {_}:
% 0.13/0.35            + ?5 (+ ?6 ?7) =?= + (+ ?5 ?6) ?7
% 0.13/0.35            [7, 6, 5] by plus_assoc ?5 ?6 ?7
% 0.13/0.35  28427:  Id :   4, {_}: times ?9 ?10 =?= times ?10 ?9 [10, 9] by times_comm ?9 ?10
% 0.13/0.35  28427:  Id :   5, {_}:
% 0.13/0.35            times ?12 (times ?13 ?14) =?= times (times ?12 ?13) ?14
% 0.13/0.35            [14, 13, 12] by times_assoc ?12 ?13 ?14
% 0.13/0.35  28427:  Id :   6, {_}: + ?16 zero =>= ?16 [16] by plus_zero ?16
% 0.13/0.35  28427:  Id :   7, {_}: times ?18 zero =>= zero [18] by times_zero ?18
% 0.13/0.35  28427:  Id :   8, {_}: times ?20 one =>= ?20 [20] by times_one ?20
% 0.13/0.35  28427:  Id :   9, {_}:
% 0.13/0.35            times ?22 (+ ?23 ?24) =<= + (times ?22 ?23) (times ?22 ?24)
% 0.13/0.35            [24, 23, 22] by distr ?22 ?23 ?24
% 0.13/0.35  28427:  Id :  10, {_}:
% 0.13/0.35            times (+ ?26 ?27) ?28 =<= + (times ?26 ?28) (times ?27 ?28)
% 0.13/0.35            [28, 27, 26] by distr_001 ?26 ?27 ?28
% 0.13/0.35  28427:  Id :  11, {_}: + (s ?30) ?31 =>= s (+ ?30 ?31) [31, 30] by plus_s ?30 ?31
% 0.13/0.35  28427:  Id :  12, {_}:
% 0.13/0.35            times (s ?33) ?34 =<= + ?34 (times ?33 ?34)
% 0.13/0.35            [34, 33] by times_s ?33 ?34
% 0.13/0.35  28427:  Id :  13, {_}: sum zero =>= zero [] by sum_zero
% 0.13/0.35  28427:  Id :  14, {_}: sum (s ?37) =<= + (s ?37) (sum ?37) [37] by sum_s ?37
% 0.13/0.35  28427:  Id :  15, {_}: cubes zero =>= zero [] by cubes_zero
% 0.13/0.35  28427:  Id :  16, {_}:
% 0.13/0.35            cubes (s ?40)
% 0.13/0.35            =<=
% 0.13/0.35            + (times (s ?40) (times (s ?40) (s ?40))) (cubes ?40)
% 0.13/0.35            [40] by cubes_s ?40
% 0.13/0.35  28427:  Id :  17, {_}: + (sum ?42) (sum ?42) =>= times ?42 (s ?42) [42] by plus_sum ?42
% 0.13/0.35  28427:  Id :  18, {_}: times (sum a) (sum a) =>= cubes a [] by induction_hypothesis
% 0.13/0.35  28427: Goal:
% 0.13/0.35  28427:  Id :   1, {_}: times (sum (s a)) (sum (s a)) =>= cubes (s a) [] by goal
% 300.27/75.39  % SZS status Timeout for theBenchmark.p
% 300.27/75.39  % SZS status Timeout for theBenchmark.p
% 300.27/75.39  % SZS status Timeout for theBenchmark.p
% 300.27/75.39  % SZS status Timeout for theBenchmark.p
%------------------------------------------------------------------------------