TSTP Solution File: ROB015-10 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : ROB015-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n022.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 20:54:27 EDT 2022

% Result   : Timeout 300.31s 75.79s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ROB015-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33  % Computer : n022.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
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 14:07:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.34  3254: Facts:
% 0.19/0.34  3254:  Id :   2, {_}: ifeq4 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.19/0.34  3254:  Id :   3, {_}: ifeq3 ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.19/0.34  3254:  Id :   4, {_}:
% 0.19/0.34            ifeq2 ?10 ?10 ?11 ?12 =>= ?11
% 0.19/0.34            [12, 11, 10] by ifeq_axiom_002 ?10 ?11 ?12
% 0.19/0.34  3254:  Id :   5, {_}:
% 0.19/0.34            ifeq ?14 ?14 ?15 ?16 =>= ?15
% 0.19/0.34            [16, 15, 14] by ifeq_axiom_003 ?14 ?15 ?16
% 0.19/0.34  3254:  Id :   6, {_}:
% 0.19/0.34            add ?18 ?19 =?= add ?19 ?18
% 0.19/0.34            [19, 18] by commutativity_of_add ?18 ?19
% 0.19/0.34  3254:  Id :   7, {_}:
% 0.19/0.34            add (add ?21 ?22) ?23 =?= add ?21 (add ?22 ?23)
% 0.19/0.34            [23, 22, 21] by associativity_of_add ?21 ?22 ?23
% 0.19/0.34  3254:  Id :   8, {_}:
% 0.19/0.34            negate (add (negate (add ?25 ?26)) (negate (add ?25 (negate ?26))))
% 0.19/0.34            =>=
% 0.19/0.34            ?25
% 0.19/0.34            [26, 25] by robbins_axiom ?25 ?26
% 0.19/0.34  3254:  Id :   9, {_}: multiply one ?28 =>= ?28 [28] by one_times_x ?28
% 0.19/0.34  3254:  Id :  10, {_}:
% 0.19/0.34            ifeq2 (positive_integer ?30) true (add ?30 (multiply ?31 ?30))
% 0.19/0.34              (multiply (successor ?31) ?30)
% 0.19/0.34            =>=
% 0.19/0.34            multiply (successor ?31) ?30
% 0.19/0.34            [31, 30] by times_by_adding ?30 ?31
% 0.19/0.34  3254:  Id :  11, {_}: positive_integer one =>= true [] by one
% 0.19/0.34  3254:  Id :  12, {_}:
% 0.19/0.34            ifeq (positive_integer ?34) true (positive_integer (successor ?34))
% 0.19/0.34              true
% 0.19/0.34            =>=
% 0.19/0.34            true
% 0.19/0.34            [34] by next_integer ?34
% 0.19/0.34  3254:  Id :  13, {_}:
% 0.19/0.34            ifeq4 (negate (add ?36 (negate (add ?37 ?38))))
% 0.19/0.34              (negate (add ?37 (negate (add ?36 ?38)))) ?36 ?37
% 0.19/0.34            =>=
% 0.19/0.34            ?37
% 0.19/0.34            [38, 37, 36] by lemma_3_2 ?36 ?37 ?38
% 0.19/0.34  3254:  Id :  14, {_}:
% 0.19/0.34            ifeq2 (positive_integer ?40) true
% 0.19/0.34              (ifeq4 (negate (add ?41 (negate ?42))) ?43
% 0.19/0.34                (negate
% 0.19/0.34                  (add ?41 (negate (add ?42 (multiply ?40 (add ?41 ?43)))))) ?43)
% 0.19/0.34              ?43
% 0.19/0.34            =>=
% 0.19/0.34            ?43
% 0.19/0.34            [43, 42, 41, 40] by lemma_3_4 ?40 ?41 ?42 ?43
% 0.19/0.34  3254:  Id :  15, {_}:
% 0.19/0.34            negate (add (negate e) (negate (add d (negate e)))) =>= d
% 0.19/0.34            [] by condition
% 0.19/0.34  3254:  Id :  16, {_}: positive_integer k =>= true [] by k_positive
% 0.19/0.34  3254:  Id :  17, {_}:
% 0.19/0.34            ifeq3
% 0.19/0.34              (negate (add e (multiply k (add d (negate (add d (negate e)))))))
% 0.19/0.34              (negate e) a b
% 0.19/0.34            =>=
% 0.19/0.34            b
% 0.19/0.34            [] by base_step
% 0.19/0.34  3254:  Id :  18, {_}:
% 0.19/0.34            ifeq3
% 0.19/0.34              (negate
% 0.19/0.34                (add e
% 0.19/0.34                  (multiply (successor k) (add d (negate (add d (negate e)))))))
% 0.19/0.34              (negate e) a b
% 0.19/0.34            =>=
% 0.19/0.34            b
% 0.19/0.34            [] by prove_induction_step
% 0.19/0.34  3254: Goal:
% 0.19/0.34  3254:  Id :   1, {_}: a =>= b [] by goal
% 300.31/75.79  % SZS status Timeout for theBenchmark.p
% 300.31/75.79  % SZS status Timeout for theBenchmark.p
% 300.31/75.80  % SZS status Timeout for theBenchmark.p
%------------------------------------------------------------------------------