TSTP Solution File: RNG004-10 by Matita---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/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 20:35:27 EDT 2022

% Result   : Timeout 300.06s 75.34s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon May 30 05:48:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  26843: Facts:
% 0.12/0.35  26843:  Id :   2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.12/0.35  26843:  Id :   3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.12/0.35  26843:  Id :   4, {_}:
% 0.12/0.35            sum additive_identity ?10 ?10 =>= true
% 0.12/0.35            [10] by additive_identity1 ?10
% 0.12/0.35  26843:  Id :   5, {_}:
% 0.12/0.35            sum ?12 additive_identity ?12 =>= true
% 0.12/0.35            [12] by additive_identity2 ?12
% 0.12/0.35  26843:  Id :   6, {_}:
% 0.12/0.35            product ?14 ?15 (multiply ?14 ?15) =>= true
% 0.12/0.35            [15, 14] by closure_of_multiplication ?14 ?15
% 0.12/0.35  26843:  Id :   7, {_}:
% 0.12/0.35            sum ?17 ?18 (add ?17 ?18) =>= true
% 0.12/0.35            [18, 17] by closure_of_addition ?17 ?18
% 0.12/0.35  26843:  Id :   8, {_}:
% 0.12/0.35            sum (additive_inverse ?20) ?20 additive_identity =>= true
% 0.12/0.35            [20] by left_inverse ?20
% 0.12/0.35  26843:  Id :   9, {_}:
% 0.12/0.35            sum ?22 (additive_inverse ?22) additive_identity =>= true
% 0.12/0.35            [22] by right_inverse ?22
% 0.12/0.35  26843:  Id :  10, {_}:
% 0.12/0.35            ifeq (sum ?24 ?25 ?26) true
% 0.12/0.35              (ifeq (sum ?27 ?25 ?28) true
% 0.12/0.35                (ifeq (sum ?29 ?27 ?24) true (sum ?29 ?28 ?26) true) true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [29, 28, 27, 26, 25, 24] by associativity_of_addition1 ?24 ?25 ?26
% 0.12/0.35                                          ?27 ?28 ?29
% 0.12/0.35  26843:  Id :  11, {_}:
% 0.12/0.35            ifeq (sum ?31 ?32 ?33) true
% 0.12/0.35              (ifeq (sum ?34 ?33 ?35) true
% 0.12/0.35                (ifeq (sum ?34 ?31 ?36) true (sum ?36 ?32 ?35) true) true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [36, 35, 34, 33, 32, 31] by associativity_of_addition2 ?31 ?32 ?33
% 0.12/0.35                                          ?34 ?35 ?36
% 0.12/0.35  26843:  Id :  12, {_}:
% 0.12/0.35            ifeq (sum ?38 ?39 ?40) true (sum ?39 ?38 ?40) true =>= true
% 0.12/0.35            [40, 39, 38] by commutativity_of_addition ?38 ?39 ?40
% 0.12/0.35  26843:  Id :  13, {_}:
% 0.12/0.35            ifeq (product ?42 ?43 ?44) true
% 0.12/0.35              (ifeq (product ?45 ?43 ?46) true
% 0.12/0.35                (ifeq (product ?47 ?45 ?42) true (product ?47 ?46 ?44) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [47, 46, 45, 44, 43, 42] by associativity_of_multiplication1 ?42 ?43
% 0.12/0.35                                          ?44 ?45 ?46 ?47
% 0.12/0.35  26843:  Id :  14, {_}:
% 0.12/0.35            ifeq (product ?49 ?50 ?51) true
% 0.12/0.35              (ifeq (product ?52 ?51 ?53) true
% 0.12/0.35                (ifeq (product ?52 ?49 ?54) true (product ?54 ?50 ?53) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [54, 53, 52, 51, 50, 49] by associativity_of_multiplication2 ?49 ?50
% 0.12/0.35                                          ?51 ?52 ?53 ?54
% 0.12/0.35  26843:  Id :  15, {_}:
% 0.12/0.35            ifeq (product ?56 ?57 ?58) true
% 0.12/0.35              (ifeq (product ?56 ?59 ?60) true
% 0.12/0.35                (ifeq (product ?56 ?61 ?62) true
% 0.12/0.35                  (ifeq (sum ?61 ?59 ?57) true (sum ?62 ?60 ?58) true) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [62, 61, 60, 59, 58, 57, 56] by distributivity1 ?56 ?57 ?58 ?59 ?60
% 0.12/0.35                                              ?61 ?62
% 0.12/0.35  26843:  Id :  16, {_}:
% 0.12/0.35            ifeq (product ?64 ?65 ?66) true
% 0.12/0.35              (ifeq (product ?64 ?67 ?68) true
% 0.12/0.35                (ifeq (sum ?68 ?66 ?69) true
% 0.12/0.35                  (ifeq (sum ?67 ?65 ?70) true (product ?64 ?70 ?69) true) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [70, 69, 68, 67, 66, 65, 64] by distributivity2 ?64 ?65 ?66 ?67 ?68
% 0.12/0.35                                              ?69 ?70
% 0.12/0.35  26843:  Id :  17, {_}:
% 0.12/0.35            ifeq (product ?72 ?73 ?74) true
% 0.12/0.35              (ifeq (product ?75 ?73 ?76) true
% 0.12/0.35                (ifeq (product ?77 ?73 ?78) true
% 0.12/0.35                  (ifeq (sum ?77 ?75 ?72) true (sum ?78 ?76 ?74) true) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [78, 77, 76, 75, 74, 73, 72] by distributivity3 ?72 ?73 ?74 ?75 ?76
% 0.12/0.35                                              ?77 ?78
% 0.12/0.35  26843:  Id :  18, {_}:
% 0.12/0.35            ifeq (product ?80 ?81 ?82) true
% 0.12/0.35              (ifeq (product ?83 ?81 ?84) true
% 0.12/0.35                (ifeq (sum ?84 ?82 ?85) true
% 0.12/0.35                  (ifeq (sum ?83 ?80 ?86) true (product ?86 ?81 ?85) true) true)
% 0.12/0.35                true) true
% 0.12/0.35            =>=
% 0.12/0.35            true
% 0.12/0.35            [86, 85, 84, 83, 82, 81, 80] by distributivity4 ?80 ?81 ?82 ?83 ?84
% 0.12/0.35                                              ?85 ?86
% 0.12/0.35  26843:  Id :  19, {_}:
% 0.12/0.35            ifeq2 (sum ?88 ?89 ?90) true (ifeq2 (sum ?88 ?89 ?91) true ?91 ?90)
% 0.12/0.35              ?90
% 0.12/0.35            =>=
% 0.12/0.35            ?90
% 0.12/0.35            [91, 90, 89, 88] by addition_is_well_defined ?88 ?89 ?90 ?91
% 0.12/0.35  26843:  Id :  20, {_}:
% 0.12/0.35            ifeq2 (product ?93 ?94 ?95) true
% 0.12/0.35              (ifeq2 (product ?93 ?94 ?96) true ?96 ?95) ?95
% 0.12/0.35            =>=
% 0.12/0.35            ?95
% 0.12/0.35            [96, 95, 94, 93] by multiplication_is_well_defined ?93 ?94 ?95 ?96
% 0.12/0.35  26843:  Id :  21, {_}: product a b c =>= true [] by a_times_b
% 0.12/0.35  26843:  Id :  22, {_}:
% 0.12/0.35            product (additive_inverse a) (additive_inverse b) d =>= true
% 0.12/0.35            [] by a_inverse_times_b_inverse
% 0.12/0.35  26843: Goal:
% 0.12/0.35  26843:  Id :   1, {_}: c =>= d [] by prove_c_equals_d
% 300.06/75.34  % SZS status Timeout for theBenchmark.p
% 300.06/75.34  % SZS status Timeout for theBenchmark.p
% 300.06/75.34  % SZS status Timeout for theBenchmark.p
%------------------------------------------------------------------------------