TSTP Solution File: NUM026-10 by Matita---1.0

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% File     : Matita---1.0
% Problem  : NUM026-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n013.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 12:16:24 EDT 2022

% Result   : Timeout 300.33s 75.40s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM026-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33  % Computer : n013.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Wed Jul  6 21:46:44 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  28752: Facts:
% 0.13/0.34  28752:  Id :   2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.13/0.34  28752:  Id :   3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.13/0.34  28752:  Id :   4, {_}: equalish (add ?10 n0) ?10 =>= true [10] by adding_zero ?10
% 0.13/0.34  28752:  Id :   5, {_}:
% 0.13/0.34            equalish (add ?12 (successor ?13)) (successor (add ?12 ?13)) =>= true
% 0.13/0.34            [13, 12] by addition ?12 ?13
% 0.13/0.34  28752:  Id :   6, {_}: equalish (multiply ?15 n0) n0 =>= true [15] by times_zero ?15
% 0.13/0.34  28752:  Id :   7, {_}:
% 0.13/0.34            equalish (multiply ?17 (successor ?18)) (add (multiply ?17 ?18) ?17)
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [18, 17] by times ?17 ?18
% 0.13/0.34  28752:  Id :   8, {_}:
% 0.13/0.34            ifeq2 (equalish (successor ?20) (successor ?21)) true
% 0.13/0.34              (equalish ?20 ?21) true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [21, 20] by successor_equality1 ?20 ?21
% 0.13/0.34  28752:  Id :   9, {_}:
% 0.13/0.34            ifeq2 (equalish ?23 ?24) true
% 0.13/0.34              (equalish (successor ?23) (successor ?24)) true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [24, 23] by successor_substitution ?23 ?24
% 0.13/0.34  28752:  Id :  10, {_}:
% 0.13/0.34            ifeq2 (less ?26 ?27) true
% 0.13/0.34              (ifeq2 (less ?27 ?28) true (less ?26 ?28) true) true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [28, 27, 26] by transitivity_of_less ?26 ?27 ?28
% 0.13/0.34  28752:  Id :  11, {_}:
% 0.13/0.34            ifeq2 (equalish (add (successor ?30) ?31) ?32) true (less ?31 ?32)
% 0.13/0.34              true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [32, 31, 30] by smaller_number ?30 ?31 ?32
% 0.13/0.34  28752:  Id :  12, {_}:
% 0.13/0.34            ifeq2 (less ?34 ?35) true
% 0.13/0.34              (equalish
% 0.13/0.34                (add (successor (predecessor_of_1st_minus_2nd ?35 ?34)) ?34) ?35)
% 0.13/0.34              true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [35, 34] by less_lemma ?34 ?35
% 0.13/0.34  28752:  Id :  13, {_}: equalish ?37 ?37 =>= true [37] by reflexivity ?37
% 0.13/0.34  28752:  Id :  14, {_}:
% 0.13/0.34            ifeq2 (equalish ?39 ?40) true (equalish ?40 ?39) true =>= true
% 0.13/0.34            [40, 39] by symmetry ?39 ?40
% 0.13/0.34  28752:  Id :  15, {_}:
% 0.13/0.34            ifeq2 (equalish ?42 ?43) true
% 0.13/0.34              (ifeq2 (equalish ?44 ?42) true (equalish ?44 ?43) true) true
% 0.13/0.34            =>=
% 0.13/0.34            true
% 0.13/0.34            [44, 43, 42] by transitivity ?42 ?43 ?44
% 0.13/0.34  28752:  Id :  16, {_}: less a b =>= true [] by a_less_than_b
% 0.13/0.34  28752:  Id :  17, {_}:
% 0.13/0.34            ifeq (equalish (successor ?47) n0) true a2 b2 =>= b2
% 0.13/0.34            [47] by zero_is_the_first_number ?47
% 0.13/0.34  28752:  Id :  18, {_}:
% 0.13/0.34            ifeq (less ?49 ?49) true a2 b2 =>= b2
% 0.13/0.34            [49] by no_number_less_than_itself ?49
% 0.13/0.34  28752:  Id :  19, {_}: ifeq (equalish c n0) true a2 b2 =>= b2 [] by c_not_0
% 0.13/0.34  28752:  Id :  20, {_}:
% 0.13/0.34            ifeq (less (multiply a c) (multiply b c)) true a2 b2 =>= b2
% 0.13/0.34            [] by prove_a_times_c_less_b_times_c
% 0.13/0.34  28752: Goal:
% 0.13/0.34  28752:  Id :   1, {_}: a2 =>= b2 [] by goal
% 300.33/75.40  % SZS status Timeout for theBenchmark.p
% 300.33/75.40  % SZS status Timeout for theBenchmark.p
% 300.33/75.40  % SZS status Timeout for theBenchmark.p
% 300.33/75.40  % SZS status Timeout for theBenchmark.p
% 300.33/75.40  % SZS status Timeout for theBenchmark.p
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