TSTP Solution File: KLE096-10 by Matita---1.0

View Problem - Process Solution

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% File     : Matita---1.0
% Problem  : KLE096-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s

% Computer : n009.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 : Sun Jul 17 02:14:06 EDT 2022

% Result   : Timeout 300.46s 75.51s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : KLE096-10 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.09/0.29  % Computer : n009.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Thu Jun 16 16:30:07 EDT 2022
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  2795: Facts:
% 0.09/0.30  2795:  Id :   2, {_}: ifeq3 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.09/0.30  2795:  Id :   3, {_}: ifeq2 ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.09/0.30  2795:  Id :   4, {_}:
% 0.09/0.30            ifeq ?10 ?10 ?11 ?12 =>= ?11
% 0.09/0.30            [12, 11, 10] by ifeq_axiom_002 ?10 ?11 ?12
% 0.09/0.30  2795:  Id :   5, {_}:
% 0.09/0.30            addition ?14 ?15 =?= addition ?15 ?14
% 0.09/0.30            [15, 14] by additive_commutativity ?14 ?15
% 0.09/0.30  2795:  Id :   6, {_}:
% 0.09/0.30            addition ?17 (addition ?18 ?19) =?= addition (addition ?17 ?18) ?19
% 0.09/0.30            [19, 18, 17] by additive_associativity ?17 ?18 ?19
% 0.09/0.30  2795:  Id :   7, {_}: addition ?21 zero =>= ?21 [21] by additive_identity ?21
% 0.09/0.30  2795:  Id :   8, {_}: addition ?23 ?23 =>= ?23 [23] by additive_idempotence ?23
% 0.09/0.30  2795:  Id :   9, {_}:
% 0.09/0.30            multiplication ?25 (multiplication ?26 ?27)
% 0.09/0.30            =?=
% 0.09/0.30            multiplication (multiplication ?25 ?26) ?27
% 0.09/0.30            [27, 26, 25] by multiplicative_associativity ?25 ?26 ?27
% 0.09/0.30  2795:  Id :  10, {_}:
% 0.09/0.30            multiplication ?29 one =>= ?29
% 0.09/0.30            [29] by multiplicative_right_identity ?29
% 0.09/0.30  2795:  Id :  11, {_}:
% 0.09/0.30            multiplication one ?31 =>= ?31
% 0.09/0.30            [31] by multiplicative_left_identity ?31
% 0.09/0.30  2795:  Id :  12, {_}:
% 0.09/0.30            multiplication ?33 (addition ?34 ?35)
% 0.09/0.30            =<=
% 0.09/0.30            addition (multiplication ?33 ?34) (multiplication ?33 ?35)
% 0.09/0.30            [35, 34, 33] by right_distributivity ?33 ?34 ?35
% 0.09/0.30  2795:  Id :  13, {_}:
% 0.09/0.30            multiplication (addition ?37 ?38) ?39
% 0.09/0.30            =<=
% 0.09/0.30            addition (multiplication ?37 ?39) (multiplication ?38 ?39)
% 0.09/0.30            [39, 38, 37] by left_distributivity ?37 ?38 ?39
% 0.09/0.30  2795:  Id :  14, {_}: multiplication ?41 zero =>= zero [41] by right_annihilation ?41
% 0.09/0.30  2795:  Id :  15, {_}: multiplication zero ?43 =>= zero [43] by left_annihilation ?43
% 0.09/0.30  2795:  Id :  16, {_}:
% 0.09/0.30            ifeq2 (leq ?45 ?46) true (addition ?45 ?46) ?46 =>= ?46
% 0.09/0.30            [46, 45] by order_1 ?45 ?46
% 0.09/0.30  2795:  Id :  17, {_}:
% 0.09/0.30            ifeq3 (addition ?48 ?49) ?49 (leq ?48 ?49) true =>= true
% 0.09/0.30            [49, 48] by order ?48 ?49
% 0.09/0.30  2795:  Id :  18, {_}:
% 0.09/0.30            leq (addition one (multiplication ?51 (star ?51))) (star ?51)
% 0.09/0.30            =>=
% 0.09/0.30            true
% 0.09/0.30            [51] by star_unfold_right ?51
% 0.09/0.30  2795:  Id :  19, {_}:
% 0.09/0.30            leq (addition one (multiplication (star ?53) ?53)) (star ?53)
% 0.09/0.30            =>=
% 0.09/0.30            true
% 0.09/0.30            [53] by star_unfold_left ?53
% 0.09/0.30  2795:  Id :  20, {_}:
% 0.09/0.30            ifeq (leq (addition (multiplication ?55 ?56) ?57) ?56) true
% 0.09/0.30              (leq (multiplication (star ?55) ?57) ?56) true
% 0.09/0.30            =>=
% 0.09/0.30            true
% 0.09/0.30            [57, 56, 55] by star_induction_left ?55 ?56 ?57
% 0.09/0.30  2795:  Id :  21, {_}:
% 0.09/0.30            ifeq (leq (addition (multiplication ?59 ?60) ?61) ?59) true
% 0.09/0.30              (leq (multiplication ?61 (star ?60)) ?59) true
% 0.09/0.30            =>=
% 0.09/0.30            true
% 0.09/0.30            [61, 60, 59] by star_induction_right ?59 ?60 ?61
% 0.09/0.30  2795:  Id :  22, {_}: multiplication (antidomain ?63) ?63 =>= zero [63] by domain1 ?63
% 0.09/0.30  2795:  Id :  23, {_}:
% 0.09/0.30            addition (antidomain (multiplication ?65 ?66))
% 0.09/0.30              (antidomain (multiplication ?65 (antidomain (antidomain ?66))))
% 0.09/0.30            =>=
% 0.09/0.30            antidomain (multiplication ?65 (antidomain (antidomain ?66)))
% 0.09/0.30            [66, 65] by domain2 ?65 ?66
% 0.09/0.30  2795:  Id :  24, {_}:
% 0.09/0.30            addition (antidomain (antidomain ?68)) (antidomain ?68) =>= one
% 0.09/0.30            [68] by domain3 ?68
% 0.09/0.30  2795:  Id :  25, {_}: domain ?70 =<= antidomain (antidomain ?70) [70] by domain4 ?70
% 0.09/0.30  2795:  Id :  26, {_}:
% 0.09/0.30            multiplication ?72 (coantidomain ?72) =>= zero
% 0.09/0.30            [72] by codomain1 ?72
% 0.09/0.30  2795:  Id :  27, {_}:
% 0.09/0.30            addition (coantidomain (multiplication ?74 ?75))
% 0.09/0.30              (coantidomain
% 0.09/0.30                (multiplication (coantidomain (coantidomain ?74)) ?75))
% 0.09/0.30            =>=
% 0.09/0.30            coantidomain (multiplication (coantidomain (coantidomain ?74)) ?75)
% 0.09/0.30            [75, 74] by codomain2 ?74 ?75
% 0.09/0.30  2795:  Id :  28, {_}:
% 0.09/0.30            addition (coantidomain (coantidomain ?77)) (coantidomain ?77) =>= one
% 0.09/0.30            [77] by codomain3 ?77
% 0.09/0.30  2795:  Id :  29, {_}:
% 0.09/0.30            codomain ?79 =<= coantidomain (coantidomain ?79)
% 0.09/0.30            [79] by codomain4 ?79
% 0.09/0.30  2795:  Id :  30, {_}: c ?81 =<= antidomain (domain ?81) [81] by complement ?81
% 0.09/0.30  2795:  Id :  31, {_}:
% 0.09/0.30            domain_difference ?83 ?84
% 0.09/0.30            =<=
% 0.09/0.30            multiplication (domain ?83) (antidomain ?84)
% 0.09/0.30            [84, 83] by domain_difference ?83 ?84
% 0.09/0.30  2795:  Id :  32, {_}:
% 0.09/0.30            forward_diamond ?86 ?87 =<= domain (multiplication ?86 (domain ?87))
% 0.09/0.30            [87, 86] by forward_diamond ?86 ?87
% 0.09/0.30  2795:  Id :  33, {_}:
% 0.09/0.30            backward_diamond ?89 ?90
% 0.09/0.30            =<=
% 0.09/0.30            codomain (multiplication (codomain ?90) ?89)
% 0.09/0.30            [90, 89] by backward_diamond ?89 ?90
% 0.09/0.30  2795:  Id :  34, {_}:
% 0.09/0.30            forward_box ?92 ?93 =<= c (forward_diamond ?92 (c ?93))
% 0.09/0.30            [93, 92] by forward_box ?92 ?93
% 0.09/0.30  2795:  Id :  35, {_}:
% 0.09/0.30            backward_box ?95 ?96 =<= c (backward_diamond ?95 (c ?96))
% 0.09/0.30            [96, 95] by backward_box ?95 ?96
% 0.09/0.30  2795: Goal:
% 0.09/0.30  2795:  Id :   1, {_}:
% 0.09/0.30            addition (domain sK2_goals_X0)
% 0.09/0.30              (forward_diamond (star sK1_goals_X1)
% 0.09/0.30                (forward_diamond sK1_goals_X1 (domain sK2_goals_X0)))
% 0.09/0.30            =>=
% 0.09/0.30            forward_diamond (star sK1_goals_X1) (domain sK2_goals_X0)
% 0.09/0.30            [] by goals
% 300.46/75.51  % SZS status Timeout for theBenchmark.p
% 300.46/75.51  % SZS status Timeout for theBenchmark.p
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